Pub Date : 2025-09-01DOI: 10.1007/s11207-025-02537-6
Avneesh Kumar, Nagendra Kumar, Hari Om Vats
We investigate the temporal variations and distribution functions of daily sunspot area and magnetic flux data from 2011 to 2023. The yearly distribution of sunspot area on the solar full disc, southern hemisphere and northern hemisphere, and magnetic flux on the solar full disc are positively skewed for all the years from 2011 to 2023. We analyzed the variations of yearly maximum, median, first quartile, third quartile, interquartile range and mean of the daily sunspot area and magnetic flux on the solar full disc and found their maxima and minima for sunspot area and magnetic flux. Maxima occur in the years 2014 and 2015 for sunspot area and magnetic flux, respectively, whereas their minima occur in the years 2018 and 2019. We found the correlations between the descriptive statistical measures of sunspot area and magnetic flux, kernel density estimator, and lognormal functions to describe the distributions of daily sunspot area and magnetic flux. We found a positive correlation of 0.96 between the distribution functions of sunspot area and magnetic flux on the solar full disc during 2011 – 2023. We demonstrated that the distribution function for daily sunspot area correlates linearly well with the distribution function for magnetic flux during 2011 – 2023.
{"title":"Statistical Analysis of Sunspot Area and Magnetic Flux on Solar Disc During 2011 – 2023","authors":"Avneesh Kumar, Nagendra Kumar, Hari Om Vats","doi":"10.1007/s11207-025-02537-6","DOIUrl":"10.1007/s11207-025-02537-6","url":null,"abstract":"<div><p>We investigate the temporal variations and distribution functions of daily sunspot area and magnetic flux data from 2011 to 2023. The yearly distribution of sunspot area on the solar full disc, southern hemisphere and northern hemisphere, and magnetic flux on the solar full disc are positively skewed for all the years from 2011 to 2023. We analyzed the variations of yearly maximum, median, first quartile, third quartile, interquartile range and mean of the daily sunspot area and magnetic flux on the solar full disc and found their maxima and minima for sunspot area and magnetic flux. Maxima occur in the years 2014 and 2015 for sunspot area and magnetic flux, respectively, whereas their minima occur in the years 2018 and 2019. We found the correlations between the descriptive statistical measures of sunspot area and magnetic flux, kernel density estimator, and lognormal functions to describe the distributions of daily sunspot area and magnetic flux. We found a positive correlation of 0.96 between the distribution functions of sunspot area and magnetic flux on the solar full disc during 2011 – 2023. We demonstrated that the distribution function for daily sunspot area correlates linearly well with the distribution function for magnetic flux during 2011 – 2023.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 9","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-26DOI: 10.1007/s11207-025-02532-x
L. Biasiotti, S. L. Ivanovski
The statistical analysis of solar flares is essential for understanding their characteristics and properties, serving as a fundamental tool to interpret flare distributions and constrain the physical mechanisms driving their occurrence. In this paper, we investigated the statistical properties of these energetic phenomena over the last four solar cycles, spanning the period from September 1975 to June 2017. Specifically, we analysed the temporal (i.e., waiting time and duration) and energetic (i.e., peak intensity) aspects of soft X-ray (SXR) flares from the GOES catalogue in terms of flare occurrence rates and frequency distributions. We found that (i) the duration of most of the events increases with the increase of the intensity of a given flare, i.e. with its class. X-class flares exhibit a second peak centred around the 80th minute after its formation. (ii) Waiting times, i.e. the interval between the starting time of two consecutive flares, correlate with the solar activity variation within the solar cycle. (iii) In all solar cycles considered here, the flare and CME waiting-time distributions (WTDs) show similar power-law indices of the frequency event distribution and time variation, especially in the tail of the power-law distribution. (iv) Peak-intensity energy does not correlate with the waiting time, contrary to the idea that the more time elapses between two consecutive events the higher the intensity of the flare is.
{"title":"Statistical Analysis of Solar Flare Properties from 1975 to 2017","authors":"L. Biasiotti, S. L. Ivanovski","doi":"10.1007/s11207-025-02532-x","DOIUrl":"10.1007/s11207-025-02532-x","url":null,"abstract":"<div><p>The statistical analysis of solar flares is essential for understanding their characteristics and properties, serving as a fundamental tool to interpret flare distributions and constrain the physical mechanisms driving their occurrence. In this paper, we investigated the statistical properties of these energetic phenomena over the last four solar cycles, spanning the period from September 1975 to June 2017. Specifically, we analysed the temporal (i.e., waiting time and duration) and energetic (i.e., peak intensity) aspects of soft X-ray (SXR) flares from the GOES catalogue in terms of flare occurrence rates and frequency distributions. We found that (i) the duration of most of the events increases with the increase of the intensity of a given flare, i.e. with its class. X-class flares exhibit a second peak centred around the 80th minute after its formation. (ii) Waiting times, i.e. the interval between the starting time of two consecutive flares, correlate with the solar activity variation within the solar cycle. (iii) In all solar cycles considered here, the flare and CME waiting-time distributions (WTDs) show similar power-law indices of the frequency event distribution and time variation, especially in the tail of the power-law distribution. (iv) Peak-intensity energy does not correlate with the waiting time, contrary to the idea that the more time elapses between two consecutive events the higher the intensity of the flare is.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 8","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11207-025-02532-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-25DOI: 10.1007/s11207-025-02529-6
Nelson Reginald, Lutz Rastaetter
In this article, Part 1, we have synthetically resonance scattered and Thomson scattered a measured solar chromospheric (mathrm{Ly}alpha ) spectral radiance (CLSR) spectrum off the neutral hydrogen [(N_{1})] atoms in ground state and free electrons [(N_{mathrm{e}})], respectively, contained in a 3D coronal model of the 14 July 2000 (“Bastille Day”) Coronal Mass Ejection (CME). From these two scatters, we have computed maps of the associated resonance scattered spectral radiance (RSSR) spectrum and the Thomson scattered spectral radiance (TSSR) spectrum in ultraviolet (UV) from 121.3 to 121.8 nm with a wavelength resolution of 0.1 nm, which encompasses the (mathrm{Ly}alpha ) center line at 121.57 nm. We then integrated the maps over the above wavelength range and have created two 2D resonance scattered radiance (RSR) and Thomson scattered radiance (TSR) maps. As expected, the TSSR spectrum is (approx 1000) times dimmer than the RSSR spectrum, which we can deem for it to contribute towards noise in the center of the RSSR spectrum. In a follow up article, Part 2, we intend to do the following with these maps. First, we will use the computed RSSR spectra along each line of sight (LOS) to derive the proton temperature [(T_{mathrm{p}})] and speed [(V_{mathrm{p}})] using the Doppler Dimming technique (DDT). Second, we will compare these derived proton parameters along each LOS with the actual values contained within the Bastille Day CME model at the plane of the sky and compute the differences. If we find they are different we will then determine where along the LOS they closely match and their distances from the plane of the sky. Finally, we will quantify an estimate of the systematic error from using DDT to measure the proton parameters at the plane of the sky, which is different from the statistical error margins reported in the literature from real RSSR experiments conducted from space-based instruments.
{"title":"Synthetic Resonance and Thomson Scattering of a Chromospheric (text{Ly}alpha ) Profile Using the Bastille Day CME Model Corona: Part 1","authors":"Nelson Reginald, Lutz Rastaetter","doi":"10.1007/s11207-025-02529-6","DOIUrl":"10.1007/s11207-025-02529-6","url":null,"abstract":"<div><p>In this article, Part 1, we have synthetically resonance scattered and Thomson scattered a measured solar chromospheric <span>(mathrm{Ly}alpha )</span> spectral radiance (CLSR) spectrum off the neutral hydrogen [<span>(N_{1})</span>] atoms in ground state and free electrons [<span>(N_{mathrm{e}})</span>], respectively, contained in a 3D coronal model of the 14 July 2000 (“Bastille Day”) <i>Coronal Mass Ejection</i> (CME). From these two scatters, we have computed maps of the associated resonance scattered spectral radiance (RSSR) spectrum and the Thomson scattered spectral radiance (TSSR) spectrum in ultraviolet (UV) from 121.3 to 121.8 nm with a wavelength resolution of 0.1 nm, which encompasses the <span>(mathrm{Ly}alpha )</span> center line at 121.57 nm. We then integrated the maps over the above wavelength range and have created two 2D resonance scattered radiance (RSR) and Thomson scattered radiance (TSR) maps. As expected, the TSSR spectrum is <span>(approx 1000)</span> times dimmer than the RSSR spectrum, which we can deem for it to contribute towards noise in the center of the RSSR spectrum. In a follow up article, Part 2, we intend to do the following with these maps. First, we will use the computed RSSR spectra along each line of sight (LOS) to derive the proton temperature [<span>(T_{mathrm{p}})</span>] and speed [<span>(V_{mathrm{p}})</span>] using the Doppler Dimming technique (DDT). Second, we will compare these derived proton parameters along each LOS with the actual values contained within the Bastille Day CME model at the plane of the sky and compute the differences. If we find they are different we will then determine where along the LOS they closely match and their distances from the plane of the sky. Finally, we will quantify an estimate of the systematic error from using DDT to measure the proton parameters at the plane of the sky, which is different from the statistical error margins reported in the literature from real RSSR experiments conducted from space-based instruments.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 8","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144894024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-25DOI: 10.1007/s11207-025-02526-9
Nat Gopalswamy, Pertti Mäkelä, Sachiko Akiyama, Hong Xie, Seiji Yashiro, Stuart D. Bale, Robert F. Wimmer-Schweingruber, Patrick Kühl, Säm Krucker
We report on the 2024 September 9 sustained gamma-ray emission (SGRE) event observed by the Large Area Telescope (LAT) on board the Fermi satellite. The hevent was associated with a backside solar eruption observed by multiple spacecraft such as the Solar and Heliospheric Observatory (SOHO), Solar Terrestrial Relations Observatory (STEREO), Parker Solar Probe (PSP), Solar Orbiter (SolO), Solar Dynamics Observatory (SDO), Wind, and GOES, and by ground-based radio telescopes. Fermi/LAT observed the SGRE after the EUV wave from the backside eruption crossed the limb to the frontside of the Sun. SolO’s Spectrometer Telescope for Imaging X-rays (STIX) imaged an intense (X3.3) flare, which occurred ≈ 41° behind the east limb, from heliographic coordinates S13E131. Forward modeling of the coronal mass ejection (CME) flux rope revealed that it impulsively accelerated (3.54 km s−2) to attain a peak speed of 2162 km s−1. SolO’s energetic particle detectors (EPD) observed protons up to ≈ 1 GeV from the extended shock and electrons that produced a complex type II burst and possibly type III bursts. The durations of SGRE and type II burst are consistent with the linear relation between these quantities obtained from longer duration (> 3 hours) SGRE events. All these observations are consistent with an extended shock surrounding the CME flux rope, which is the likely source of high-energy protons required for the SGRE event. We compare this event with six other behind-the-limb (BTL) SGRE eruptions and find that they are all consistent with energetic shock-driving CMEs. We also find a significant east-west asymmetry (3:1) in the BTL source locations.
我们报告了2024年9月9日费米卫星上的大面积望远镜(LAT)观测到的持续伽马射线发射(SGRE)事件。该事件与太阳背面爆发有关,由多个航天器观测到,如太阳和日光层天文台(SOHO)、日地关系天文台(STEREO)、帕克太阳探测器(PSP)、太阳轨道器(SolO)、太阳动力学天文台(SDO)、Wind和GOES,以及地面射电望远镜。费米/LAT观测了从太阳背面喷发出来的EUV波穿过边缘到达太阳正面后的SGRE。SolO的x射线成像光谱仪望远镜(STIX)拍摄到了一个强烈的(X3.3)耀斑,它发生在东翼后约41°,位于日冕坐标S13E131处。日冕物质抛射(CME)通量绳的正演模拟显示,它的脉冲加速(3.54 km s−2)达到了2162 km s−1的峰值速度。SolO的高能粒子探测器(EPD)从扩展激波中观测到高达≈1 GeV的质子和电子,产生了复杂的II型爆发,也可能是III型爆发。SGRE和II型爆发的持续时间与从持续时间较长的SGRE事件(>; 3小时)中获得的数量之间的线性关系是一致的。所有这些观测结果都与围绕CME通量绳的延伸激波相一致,这可能是SGRE事件所需的高能质子的来源。我们将这次事件与其他六次SGRE后肢喷发(BTL)进行了比较,发现它们都与高能冲击驱动的cme一致。我们还发现在BTL源位置有明显的东西不对称(3:1)。
{"title":"Multispacecraft Observations of the 2024 September 9 Backside Solar Eruption That Resulted in a Sustained Gamma Ray Emission Event","authors":"Nat Gopalswamy, Pertti Mäkelä, Sachiko Akiyama, Hong Xie, Seiji Yashiro, Stuart D. Bale, Robert F. Wimmer-Schweingruber, Patrick Kühl, Säm Krucker","doi":"10.1007/s11207-025-02526-9","DOIUrl":"10.1007/s11207-025-02526-9","url":null,"abstract":"<div><p>We report on the 2024 September 9 sustained gamma-ray emission (SGRE) event observed by the Large Area Telescope (LAT) on board the Fermi satellite. The hevent was associated with a backside solar eruption observed by multiple spacecraft such as the Solar and Heliospheric Observatory (SOHO), Solar Terrestrial Relations Observatory (STEREO), Parker Solar Probe (PSP), Solar Orbiter (SolO), Solar Dynamics Observatory (SDO), Wind, and GOES, and by ground-based radio telescopes. Fermi/LAT observed the SGRE after the EUV wave from the backside eruption crossed the limb to the frontside of the Sun. SolO’s Spectrometer Telescope for Imaging X-rays (STIX) imaged an intense (X3.3) flare, which occurred ≈ 41° behind the east limb, from heliographic coordinates S13E131. Forward modeling of the coronal mass ejection (CME) flux rope revealed that it impulsively accelerated (3.54 km s<sup>−2</sup>) to attain a peak speed of 2162 km s<sup>−1</sup>. SolO’s energetic particle detectors (EPD) observed protons up to ≈ 1 GeV from the extended shock and electrons that produced a complex type II burst and possibly type III bursts. The durations of SGRE and type II burst are consistent with the linear relation between these quantities obtained from longer duration (> 3 hours) SGRE events. All these observations are consistent with an extended shock surrounding the CME flux rope, which is the likely source of high-energy protons required for the SGRE event. We compare this event with six other behind-the-limb (BTL) SGRE eruptions and find that they are all consistent with energetic shock-driving CMEs. We also find a significant east-west asymmetry (3:1) in the BTL source locations.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 8","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11207-025-02526-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144894025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-22DOI: 10.1007/s11207-025-02528-7
Ivana Poljančić Beljan, Luka Šibenik, Tomislav Jurkić, Klaudija Lončarić, Rajka Jurdana-Šepić, Damir Hržina, Werner Pötzi, Roman Brajša, Astrid M. Veronig, Arnold Hanslmeier
We study solar differential rotation for solar cycle No. 19 (1954 – 1964) by tracing sunspot groups on the sunspot drawings of Kanzelhöhe Observatory for Solar and Environmental Research (KSO). Our aim is to extend previous differential rotation (DR) analysis from the KSO data (1964 – 2016) to the years prior to 1964 to create a catalog of sunspot group positions and photospheric DR parameters from KSO sunspot drawings and white light images. Synodic angular rotation velocities were first determined using the daily shift (DS) and robust linear least-squares fit (rLSQ) methods, then converted to sidereal velocities, and subsequently used to derive solar DR parameters. We compare the DR parameters obtained from different sources and analyse the north–south asymmetry of rotation for solar cycle No. 19. It has been shown that our results for the equatorial rotation velocity (parameter (A)) and the gradient of DR (parameter (B)) coincide with earlier results from the KSO data (performed with a different method), as well as with results from the Kodaikanal Solar Observatory (KoSO) and the Yunnan Observatories (YNAO). In contrast, the values of parameter (A) from three different earlier studies based on the Greenwich Photoheliographic Results (GPR) exhibit statistically significant differences when compared to the values of parameter (A) derived from KSO, KoSO and YNAO. These findings suggest that the GPR data have the largest inconsistency compared to the other three data sources, highlighting the need for further analysis to identify the causes of these discrepancies. The analysis of the north-south asymmetry in the solar rotation profile using two different methods shows that the DR parameters of the hemispheres coincide, indicating a rotational symmetry around the equator. This is consistent with previous results from KSO and YNAO data. However, all sources indicate slightly higher equatorial rotation velocities in the southern hemisphere.
{"title":"An Analysis of the Solar Differential Rotation in Solar Cycle No. 19 (1954 – 1964) Determined Using Kanzelhöhe Sunspot Group Positions","authors":"Ivana Poljančić Beljan, Luka Šibenik, Tomislav Jurkić, Klaudija Lončarić, Rajka Jurdana-Šepić, Damir Hržina, Werner Pötzi, Roman Brajša, Astrid M. Veronig, Arnold Hanslmeier","doi":"10.1007/s11207-025-02528-7","DOIUrl":"10.1007/s11207-025-02528-7","url":null,"abstract":"<div><p>We study solar differential rotation for solar cycle No. 19 (1954 – 1964) by tracing sunspot groups on the sunspot drawings of Kanzelhöhe Observatory for Solar and Environmental Research (KSO). Our aim is to extend previous differential rotation (DR) analysis from the KSO data (1964 – 2016) to the years prior to 1964 to create a catalog of sunspot group positions and photospheric DR parameters from KSO sunspot drawings and white light images. Synodic angular rotation velocities were first determined using the daily shift (DS) and robust linear least-squares fit (rLSQ) methods, then converted to sidereal velocities, and subsequently used to derive solar DR parameters. We compare the DR parameters obtained from different sources and analyse the north–south asymmetry of rotation for solar cycle No. 19. It has been shown that our results for the equatorial rotation velocity (parameter <span>(A)</span>) and the gradient of DR (parameter <span>(B)</span>) coincide with earlier results from the KSO data (performed with a different method), as well as with results from the Kodaikanal Solar Observatory (KoSO) and the Yunnan Observatories (YNAO). In contrast, the values of parameter <span>(A)</span> from three different earlier studies based on the Greenwich Photoheliographic Results (GPR) exhibit statistically significant differences when compared to the values of parameter <span>(A)</span> derived from KSO, KoSO and YNAO. These findings suggest that the GPR data have the largest inconsistency compared to the other three data sources, highlighting the need for further analysis to identify the causes of these discrepancies. The analysis of the north-south asymmetry in the solar rotation profile using two different methods shows that the DR parameters of the hemispheres coincide, indicating a rotational symmetry around the equator. This is consistent with previous results from KSO and YNAO data. However, all sources indicate slightly higher equatorial rotation velocities in the southern hemisphere.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 8","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144888106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-20DOI: 10.1007/s11207-025-02531-y
Alfio Bonanno, Rainer Arlt
Understanding the long-term variability of the solar dynamo remains a key challenge in solar physics. In this work, we apply the Sparse Identification of Nonlinear Dynamical Systems (SINDy) framework to reconstruct a low-order dynamo model directly from 275 years of sunspot number data. Our data-driven approach for discovering governing equations from time series enables us to identify a minimal yet accurate dynamical system that captures the essential features of solar activity cycles. We demonstrate that, when interpreted as a low-order dynamo model, the solar dynamo is governed by an unstable saddle point, with nonlinear evolution leading to cyclic behavior. In particular we find that the underlying dynamics is described by a cubic nonlinearity driven by a (B_{phi }dot{B}_{phi }^{2}) term, which results in a phase space not necessarily of the Van der Pol universality class. Additionally, we show that higher-order nonlinearities are disfavored, and we discuss how to interpret our findings in terms of a mean-field dynamo model with a novel quenching term.
了解太阳发电机的长期变化仍然是太阳物理学的一个关键挑战。在这项工作中,我们应用非线性动力系统的稀疏识别(SINDy)框架,直接从275年的太阳黑子数数据重建一个低阶发电机模型。我们从时间序列中发现控制方程的数据驱动方法使我们能够确定一个最小但准确的动力系统,该系统捕获了太阳活动周期的基本特征。我们证明,当解释为一个低阶发电机模型时,太阳能发电机是由一个不稳定的鞍点控制的,非线性演化导致循环行为。特别是,我们发现潜在的动力学是由(B_{phi }dot{B}_{phi }^{2})项驱动的三次非线性描述的,这导致相空间不一定属于Van der Pol普适类。此外,我们表明,高阶非线性是不利的,我们讨论了如何解释我们的发现在平均场发电机模型与一个新的淬火项。
{"title":"Data-Driven Reconstruction of a Low-Order Dynamo Model from Sunspot Data","authors":"Alfio Bonanno, Rainer Arlt","doi":"10.1007/s11207-025-02531-y","DOIUrl":"10.1007/s11207-025-02531-y","url":null,"abstract":"<div><p>Understanding the long-term variability of the solar dynamo remains a key challenge in solar physics. In this work, we apply the Sparse Identification of Nonlinear Dynamical Systems (SINDy) framework to reconstruct a low-order dynamo model directly from 275 years of sunspot number data. Our data-driven approach for discovering governing equations from time series enables us to identify a minimal yet accurate dynamical system that captures the essential features of solar activity cycles. We demonstrate that, when interpreted as a low-order dynamo model, the solar dynamo is governed by an unstable saddle point, with nonlinear evolution leading to cyclic behavior. In particular we find that the underlying dynamics is described by a cubic nonlinearity driven by a <span>(B_{phi }dot{B}_{phi }^{2})</span> term, which results in a phase space not necessarily of the Van der Pol universality class. Additionally, we show that higher-order nonlinearities are disfavored, and we discuss how to interpret our findings in terms of a mean-field dynamo model with a novel quenching term.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 8","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11207-025-02531-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144868825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-20DOI: 10.1007/s11207-025-02523-y
Yang Liu, Jon Todd Hoeksema, Luca Bertello, Gordon Petrie, Alexei Pevtsov
In this work we compare the full-disk line-of-sight magnetic field measurements of the Helioseismic and Magnetic Imager (HMI) with the magnetograms from multiple sources including the Global Oscillation Network Group (GONG), the Michelson Doppler Imager (MDI), the Synoptic Optical Long-term Investigations of the Sun (SOLIS) instrument, the Mount Wilson Observatory (MWO), and the Wilcox Solar Observatory (WSO). A scaling factor is then derived that matches the magnetograms from these instruments to those of HMI. The scaling factors are (1.438pm 0.000) for GONG, (0.701pm 0.001) for MDI, (1.038pm 0.001) for SOLIS, (2.795pm 0.002) for MWO, and ({3.582pm 0.006}) for WSO. This scaling factor varies with the center-to-limb distance and field strength. Distortion maps for these instruments are also determined using the HMI data as a reference.
{"title":"Toward a Consensus for Multi-Sourced Photospheric Line-of-Sight Magnetic Field Cross-Calibration","authors":"Yang Liu, Jon Todd Hoeksema, Luca Bertello, Gordon Petrie, Alexei Pevtsov","doi":"10.1007/s11207-025-02523-y","DOIUrl":"10.1007/s11207-025-02523-y","url":null,"abstract":"<div><p>In this work we compare the full-disk line-of-sight magnetic field measurements of the Helioseismic and Magnetic Imager (HMI) with the magnetograms from multiple sources including the Global Oscillation Network Group (GONG), the Michelson Doppler Imager (MDI), the Synoptic Optical Long-term Investigations of the Sun (SOLIS) instrument, the Mount Wilson Observatory (MWO), and the Wilcox Solar Observatory (WSO). A scaling factor is then derived that matches the magnetograms from these instruments to those of HMI. The scaling factors are <span>(1.438pm 0.000)</span> for GONG, <span>(0.701pm 0.001)</span> for MDI, <span>(1.038pm 0.001)</span> for SOLIS, <span>(2.795pm 0.002)</span> for MWO, and <span>({3.582pm 0.006})</span> for WSO. This scaling factor varies with the center-to-limb distance and field strength. Distortion maps for these instruments are also determined using the HMI data as a reference.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 8","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144868909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-20DOI: 10.1007/s11207-025-02527-8
V. N. Obridko, A. S. Shibalova, D. D. Sokoloff, I. M. Livshits
Solar activity seems quite understandable when considered on the scales comparable with a solar cycle, i.e. about 11 years, and on a short time scale of about a year. A solar cycle looks basically (anti)symmetric with respect to the solar equator, while the sunspot distribution is more or less random. We investigated the difference in the spatial distribution of magnetic structures on both time scales in terms of sunspots and the surface large-scale magnetic field and arrived at the conclusion that the structures of each type are created by a specific mechanism. For long-term structures, it is the mean-field dynamo. For the short-term ones, it is the spot production considered as a separate physical mechanism. The relationship between the mean-field dynamo mechanism and the processes of sunspot formation is a complex problem of current interest. The 11-year cycle itself is created by the mean-field dynamo and is most likely determined by processes in the convection zone. However, the transformation of magnetic flux into spots and active regions occurs, apparently, on significantly shorter time scales and probably develops directly in the subsurface layers, i.e., Near-Surface Shear Layer (NSSL) or leptocline.
{"title":"North-South Asymmetry of the Solar Activity at Different Spatial Scales","authors":"V. N. Obridko, A. S. Shibalova, D. D. Sokoloff, I. M. Livshits","doi":"10.1007/s11207-025-02527-8","DOIUrl":"10.1007/s11207-025-02527-8","url":null,"abstract":"<div><p>Solar activity seems quite understandable when considered on the scales comparable with a solar cycle, i.e. about 11 years, and on a short time scale of about a year. A solar cycle looks basically (anti)symmetric with respect to the solar equator, while the sunspot distribution is more or less random. We investigated the difference in the spatial distribution of magnetic structures on both time scales in terms of sunspots and the surface large-scale magnetic field and arrived at the conclusion that the structures of each type are created by a specific mechanism. For long-term structures, it is the mean-field dynamo. For the short-term ones, it is the spot production considered as a separate physical mechanism. The relationship between the mean-field dynamo mechanism and the processes of sunspot formation is a complex problem of current interest. The 11-year cycle itself is created by the mean-field dynamo and is most likely determined by processes in the convection zone. However, the transformation of magnetic flux into spots and active regions occurs, apparently, on significantly shorter time scales and probably develops directly in the subsurface layers, i.e., Near-Surface Shear Layer (NSSL) or leptocline.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 8","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144868826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-19DOI: 10.1007/s11207-025-02522-z
Alexander Warmuth, Melissa Pesce-Rollins, Nicola Omodei, Song Tan
We investigate the relationship between the gamma-ray emission measured with the Large Area Telescope on board Fermi (Fermi-LAT9 and radio signatures of coronal shock waves in four behind-the-limb (BTL) solar flares. All events were associated with metric type II radio bursts. Both start and end times of the radio bursts were synchronized with the gamma-ray emission. The type II bursts associated with the BTL gamma-ray flares had higher speeds and lower formation heights than those of an average sample. These findings support the notion that the highly relativistic ions that produce the gamma-rays in BTL flares are accelerated at CME-driven propagating coronal shock waves rather than in large-scale coronal loops.
{"title":"Ion Acceleration in Fermi-LAT Behind-the-Limb Solar Flares: The Role of Coronal Shock Waves","authors":"Alexander Warmuth, Melissa Pesce-Rollins, Nicola Omodei, Song Tan","doi":"10.1007/s11207-025-02522-z","DOIUrl":"10.1007/s11207-025-02522-z","url":null,"abstract":"<div><p>We investigate the relationship between the gamma-ray emission measured with the Large Area Telescope on board Fermi (Fermi-LAT9 and radio signatures of coronal shock waves in four behind-the-limb (BTL) solar flares. All events were associated with metric type II radio bursts. Both start and end times of the radio bursts were synchronized with the gamma-ray emission. The type II bursts associated with the BTL gamma-ray flares had higher speeds and lower formation heights than those of an average sample. These findings support the notion that the highly relativistic ions that produce the gamma-rays in BTL flares are accelerated at CME-driven propagating coronal shock waves rather than in large-scale coronal loops.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 8","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144868955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-18DOI: 10.1007/s11207-025-02518-9
Stepan Poluianov, Alexander Mishev, Olga Kryakunova, Botakoz Seifullina, Nikolay Nikolayevskiy, Ilya Usoskin
Solar eruptive events such as flares and coronal mass ejections can accelerate charged particles up to nearly relativistic energies producing so-called solar energetic particles (SEPs). Some of those SEPs can propagate towards Earth and be registered by, e.g., particle detectors onboard satellites. Favourable acceleration conditions make strong SEP events possible with a high flux of high-energy (> 500 MeV) protons, which can be registered even on the ground by neutron monitors (NMs) as rapid enhancements of their count rate over the background. Such events are accordingly called ground-level enhancements (GLEs). GLEs are rare, with only 73 events registered from 1942 to 2023, and three more GLEs 74 – 76 occurred in 2024, close to the maximum of solar activity. In this work, we report GLE 75 that happened on 8 June 2024, initially missed during real-time monitoring, but identified retrospectively. The SEP event, which induced the GLE, was associated with a flare from the solar active region 13697 (13664 on the previous solar rotation). It caused statistically significant increases in the count rate of NMs Dome C, South Pole, and Peawanuck, as well as in the proton intensity measured by Geostationary Operational Environmental Satellite GOES-16. Here, we show the GLE in NM data, describe the procedure of evaluation of its statistical significance, and present the analysis with reconstruction of the spectral and angular SEP distributions.
太阳爆发事件,如耀斑和日冕物质抛射,可以将带电粒子加速到接近相对论的能量,产生所谓的太阳高能粒子(sep)。其中一些sep可以向地球传播,并被卫星上的粒子探测器等记录下来。有利的加速条件使得高能质子(> 500 MeV)的高通量强SEP事件成为可能,即使在地面上,中子监测器(NMs)也可以在背景上快速增强计数率,从而记录下强SEP事件。这样的事件相应地被称为地面增强(gle)。gle非常罕见,从1942年到2023年只记录了73次,另外3次gle 74 - 76发生在2024年,接近太阳活动的最大值。在这项工作中,我们报告了发生在2024年6月8日的GLE 75,最初在实时监测中错过,但回顾性地发现了它。引起GLE的SEP事件与来自太阳活动区13697的耀斑有关(13664是上一次太阳旋转)。它使NMs Dome C、South Pole和Peawanuck的计数率以及地球静止业务环境卫星GOES-16测量的质子强度在统计上显著增加。在这里,我们展示了NM数据中的GLE,描述了其统计显著性的评估过程,并通过光谱和角SEP分布的重建进行了分析。
{"title":"Ground-Level Enhancement of 8 June 2024 (GLE 75) Caused by Solar Energetic Particles","authors":"Stepan Poluianov, Alexander Mishev, Olga Kryakunova, Botakoz Seifullina, Nikolay Nikolayevskiy, Ilya Usoskin","doi":"10.1007/s11207-025-02518-9","DOIUrl":"10.1007/s11207-025-02518-9","url":null,"abstract":"<div><p>Solar eruptive events such as flares and coronal mass ejections can accelerate charged particles up to nearly relativistic energies producing so-called solar energetic particles (SEPs). Some of those SEPs can propagate towards Earth and be registered by, e.g., particle detectors onboard satellites. Favourable acceleration conditions make strong SEP events possible with a high flux of high-energy (> 500 MeV) protons, which can be registered even on the ground by neutron monitors (NMs) as rapid enhancements of their count rate over the background. Such events are accordingly called ground-level enhancements (GLEs). GLEs are rare, with only 73 events registered from 1942 to 2023, and three more GLEs 74 – 76 occurred in 2024, close to the maximum of solar activity. In this work, we report GLE 75 that happened on 8 June 2024, initially missed during real-time monitoring, but identified retrospectively. The SEP event, which induced the GLE, was associated with a flare from the solar active region 13697 (13664 on the previous solar rotation). It caused statistically significant increases in the count rate of NMs Dome C, South Pole, and Peawanuck, as well as in the proton intensity measured by Geostationary Operational Environmental Satellite GOES-16. Here, we show the GLE in NM data, describe the procedure of evaluation of its statistical significance, and present the analysis with reconstruction of the spectral and angular SEP distributions.</p></div>","PeriodicalId":777,"journal":{"name":"Solar Physics","volume":"300 8","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11207-025-02518-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}