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Kernel density estimation approach to characterizing field-aligned irregularities from equatorial atmosphere radar observations 核密度估计方法表征赤道大气雷达观测的场向不规则性
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-27 DOI: 10.1007/s10509-026-04543-x
Dyah Rahayu Martiningrum, Suhaila M. Buhari, Prayitno Abadi, Sri Ekawati, Rezy Pradipta

Field-aligned irregularities (FAI) are a persistent feature of the equatorial ionosphere and can significantly impact satellite-based communication and navigation systems. Despite extensive documentation of their large-scale occurrence patterns, there is still a lack of understanding regarding their short-term temporal variability and detection uncertainty. To address this, a statistical framework based on Kernel Density Estimation (KDE) was developed to investigate the temporal characteristics of FAI events with higher resolution. Data from the Equatorial Atmosphere Radar (EAR) in West Sumatra, Indonesia, were analyzed, focusing on two years: 2016 (a leap year) and 2017 (a non-leap year). KDE was applied to generate smoothed daily probability estimates of FAI occurrence, along with associated confidence intervals, allowing the temporal evolution of FAI activity to be visualized more clearly. To examine short-term variability, FAI events are grouped into 1-day, 2-day, and 3-day sequential patterns. Results show consistent seasonal signatures across both years, suggesting stable ionospheric behaviours despite differences in calendar structure. The KDE approach captures fluctuations more clearly than standard methods and highlights subtle patterns in event occurrences. This method offers a reproducible way to study FAI dynamics and can be extended to multi-year or multi-site analyses. It supports a more complex conception of equatorial ionospheric variability and its relevance to space weather monitoring and forecasting, where precise characterization of ionospheric disturbances is essential.

场向不规则性(FAI)是赤道电离层的一个持续特征,可以显著影响卫星通信和导航系统。尽管大量文献记录了它们的大规模发生模式,但对它们的短期时间变异性和探测的不确定性仍然缺乏了解。为了解决这个问题,开发了一个基于核密度估计(KDE)的统计框架,以更高的分辨率研究FAI事件的时间特征。研究人员分析了印度尼西亚西苏门答腊岛赤道大气雷达(EAR)的数据,重点分析了2016年(闰年)和2017年(非闰年)这两年的数据。应用KDE生成FAI发生的平滑日概率估计,以及相关的置信区间,从而使FAI活动的时间演变更清晰地可视化。为了检查短期变异性,FAI事件被分为1天、2天和3天的顺序模式。结果显示,这两年的季节特征一致,表明尽管日历结构不同,电离层行为稳定。KDE方法比标准方法更清楚地捕获波动,并突出显示事件发生中的微妙模式。该方法为研究FAI动态提供了一种可重复的方法,并可扩展到多年或多地点的分析。它支持赤道电离层变率的更复杂概念及其与空间天气监测和预报的相关性,在空间天气监测和预报中,电离层扰动的精确特征是必不可少的。
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引用次数: 0
The abundances of carbon and nitrogen in the atmospheres of classical Be stars 经典Be恒星大气中碳和氮的丰度
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-26 DOI: 10.1007/s10509-026-04538-8
Geraldine J. Peters, Kenneth G. Gayley, Rina G. Rast, Jorick S. Vink, Jeremy J. Drake

Hot stars born as rapid rotators are expected to induce meridional currents that mix hydrogen from the envelope into the core and return CNO-cycle processed material to the envelope, which should enhance the N at the surface at the expense of C and possibly also O depending on the ambient conditions. But the photospheric C and N abundances could also be influenced by mass transfer in a close binary system which spins up the mass gainer and deposits either processed or unprocessed material to its surface depending on just how much material has been peeled off the mass donor. We focus on the chemical composition of Be star photospheres to infer the present and past evolution of rapidly rotating early B stars. To mitigate the effects of gravity darkening and photospheric line blending on the abundances, we chose 8 Be stars with low (vsin i) that have good high-resolution FUV spectra in the IUE archive. We carried out a conventional NLTE abundance analysis of selected N iii, N i, and C iii lines in the FUV spectral region. We find clear evidence that the C iii 1176 Å multiplet is weak in the core region in most program stars, suggesting CNO processing. However, in all cases we infer a N abundance that is solar or less, raising a conundrum as to what happened to the “missing C.” Since a similar pattern of weak C yet normal N is also found in the mass gainer in some Algol binaries, there appears to be an emerging challenge to explain this apparent abundance anomaly. We speculate that the excess N from CNO processing might be converted into O (and perhaps on to Ne) by fusion with He in the hot but low-density regions either in the trail of ashes just outside the receding carbon-fusing core, or in He-shell flash regions, of a highly evolved mass loser in its final stage of mass transfer.

作为快速旋转体诞生的热恒星预计会产生子向电流,将包络层的氢混合到核心中,并将碳氧循环处理过的物质返回包络层,这将以牺牲C为代价提高表面的N,可能还会增加O,这取决于环境条件。但是光球C和N丰度也可能受到紧密双星系统中质量传递的影响,该系统旋转质量获得体,并将加工或未加工的物质沉积到其表面,这取决于从质量供体剥离的物质的多少。我们将重点放在Be星光球的化学成分上,以推断快速旋转的早期B星的现在和过去的演化。为了减轻重力变暗和光球线混合对丰度的影响,我们在IUE档案中选择了8颗具有高分辨率FUV光谱的低(vsin i) Be星。我们在FUV光谱区对选定的N iii、N i和C iii谱线进行了常规的NLTE丰度分析。我们发现明显的证据表明,C iii 1176 Å多星在大多数计划恒星的核心区域是弱的,这表明CNO处理。然而,在所有情况下,我们推断出的N丰度都是太阳或更少,这就提出了一个难题,即“丢失的c”发生了什么。由于在一些大人马座双星的质量增益中也发现了类似的弱C和正常N的模式,因此解释这种明显的丰度异常似乎是一个新的挑战。我们推测,从CNO过程中产生的多余的N可能通过与He在热但低密度的区域中的聚变转化为O(也可能转化为Ne),这些区域要么在后退的碳聚变核心外的灰烬痕迹中,要么在质量转移的最后阶段高度演化的质量损失体的He壳闪光区域中。
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引用次数: 0
Proton-iron discrimination with stacking ensembles 用叠加系综进行质子-铁鉴别
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-22 DOI: 10.1007/s10509-026-04535-x
Mei-Lin Liu, Lin-Lin Wu, Jun-Yu Hu, Yu-Fan Fan, Yu-Jie Cai, Yong-Liang Wang, Ming-Ming Kang, Hua Bao, Qi Gao

We used CORSIKA to simulate extensive air showers initiated by primary protons and iron nuclei at an energy of 30 TeV and a zenith angle of 0. By analyzing secondary particles within 0-600 m from the shower axis, we extracted statistical-moment features for the electromagnetic and muonic components, and fitted the radial distributions of both components with the NKG function to obtain the age parameters and particle-number parameters (Georgios in EPJ Web Conf. 137:13001, 2017). We first constructed a stacking ensemble model (with XGBoost, Random Forest (RF), and Support Vector Machines (SVMs) as base learners, and Logistic Regression as the meta-learner) for proton-iron classification, and then introduced single classifiers (SVM, XGBoost, and Random Forest) as benchmarks to validate the reliability of the stacking framework. The area under the ROC curve (AUC) and the Q-factor were used as evaluation metrics for composition discrimination. The results show that, under this idealized proton-iron setting, the single classifiers already reach near-saturated performance (AUC close to 1). The stacking model achieves an AUC of 0.995 on an independent test set, with a maximum Q ≈1 × 10(mathtt{^{4}}) in the threshold scan. The comparable performance between stacking and the single models indicates that the stacking framework is stable and reliable for this task; the lack of a significant performance gain is mainly due to the idealized physical setup and the strong class separability, which leave limited room for improvement beyond the single-model ceiling. This workflow can serve as a baseline for future composition-discrimination studies that incorporate detector response, noise/systematic uncertainties, and broader energy and zenith-angle ranges.

我们使用CORSIKA模拟了由初级质子和铁核以30 TeV的能量和0°天顶角引发的大范围空气阵雨。通过分析距离淋浴轴0 ~ 600 m范围内的二次粒子,提取电磁分量和介子分量的统计矩特征,并利用NKG函数拟合这两个分量的径向分布,得到年龄参数和粒子数参数(Georgios in EPJ Web Conf. 137:13001, 2017)。我们首先构建了一个用于质子铁分类的堆叠集成模型(以XGBoost、Random Forest (RF)和支持向量机(SVM)为基础学习器,以Logistic回归为元学习器),然后引入单个分类器(SVM、XGBoost和Random Forest)作为基准来验证堆叠框架的可靠性。以ROC曲线下面积(AUC)和q因子作为成分判别的评价指标。结果表明,在这种理想的质子-铁设置下,单个分类器已经达到接近饱和的性能(AUC接近1)。叠加模型在独立测试集上的AUC为0.995,在阈值扫描中最大Q≈1 × 10 (mathtt{^{4}})。叠加模型与单一模型的性能比较表明,该叠加框架稳定可靠;缺乏显著的性能增益主要是由于理想化的物理设置和强大的类可分离性,这使得在单一模型上限之外的改进空间有限。该工作流程可以作为未来成分识别研究的基线,包括探测器响应、噪声/系统不确定性以及更广泛的能量和天顶角范围。
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引用次数: 0
An autonomous approach to model daytime behavior of sub-ionospheric VLF signals over short and medium propagation paths in India 模拟印度中短传播路径上亚电离层VLF信号日间行为的自主方法
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-22 DOI: 10.1007/s10509-026-04541-z
Sayak Chakraborty, Tamal Basak, Sourav Palit, Sandip K. Chakrabarti

We present an autonomous model to simulate the daytime variation of sub-ionospheric Very Low Frequency (VLF) signal amplitude, beginning with the computation of the D-region electron density by numerically solving the electron continuity equation (ECE). From the resulting altitude-dependent electron density profile ((N_{e})), we extract Wait’s ionospheric parameters ((h^{prime }) and (beta )) using a log-linear fitting method. The study focuses on two VLF propagation paths (one short and one medium in length) in India, originating from the VTX / 18.2 kHz transmitter. The model effectively employs the Long Wave Propagation Capability (LWPC) framework to reproduce the daytime VLF signal amplitude profile. It accurately captures the daytime variations observed at the Bengaluru (BAN) station, where the ground wave component is dominant, as well as at Khukurdaha, WB (KHK). A quantitative comparison between the simulated ((A_{sim})) and ((A_{obs})) observed amplitudes shows justified agreement, validating the physical consistency and possible predictive capability of the proposed approach.

我们提出了一个模拟亚电离层甚低频(VLF)信号振幅的日间变化的自主模型,首先通过数值求解电子连续性方程(ECE)计算d区电子密度。根据得到的与海拔高度相关的电子密度分布图((N_{e})),我们使用对数线性拟合方法提取了Wait的电离层参数((h^{prime })和(beta ))。研究的重点是印度的两个VLF传播路径(一个短的和一个中等的长度),起源于VTX / 18.2 kHz发射机。该模型有效地利用长波传播能力(LWPC)框架再现了白天VLF信号的幅度分布。它准确地捕获了在地波分量占主导地位的班加罗尔(BAN)站和库库尔达哈(KHK)站观测到的白天变化。模拟((A_{sim}))和((A_{obs}))观测振幅之间的定量比较显示了合理的一致性,验证了所提出方法的物理一致性和可能的预测能力。
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引用次数: 0
Superluminous supernovae: diverse rise times explain diverse spectra 超亮超新星:不同的上升时间解释不同的光谱。
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-19 DOI: 10.1007/s10509-026-04540-0
Matt Nicholl

Type I superluminous supernovae (SLSNe) are a diverse class of exceptionally bright massive star explosions, which typically exhibit absorption from ionised oxygen in their early spectra. While their photometric properties (luminosity and duration) both span an order of magnitude, population studies suggest that these distributions are continuous. However, spectroscopic samples have shown some indications of distinct sub-types, either through similarity to certain prototype objects, or in terms of their velocity evolution. Here we show that a well-observed SLSN, PTF12dam, completely changes its O II absorption profile as it rises to maximum light, moving from one proposed sub-type to another. This supports an interpretation where spectroscopic diversity is driven by the ejecta temperature at maximum light, rather than fundamental differences in the explosion or progenitor. Motivated by this, we develop a new diagnostic, the Brightness-Timescale-Temperature-Radius diagram, and a simple toy model for the evolution of the photospheric velocity, to show that diversity in the light curve rise time (likely due to differences in ejected mass) naturally explains why SLSNe with broader light curves generally have weaker O II lines, lower photospheric velocities after maximum, and slower changes in photospheric velocity over time. We show that the velocity distribution of the known SLSN population favours a relatively flat ejecta density profile, consistent with a hot bubble inflated by a central engine.

I型超亮超新星(SLSNe)是一类异常明亮的大质量恒星爆炸,在它们的早期光谱中通常表现出对电离氧的吸收。虽然它们的光度特性(光度和持续时间)都跨越了一个数量级,但种群研究表明,这些分布是连续的。然而,光谱样品显示出一些不同的子类型的迹象,要么是通过与某些原型物体的相似性,要么是根据它们的速度演变。在这里,我们发现一个被充分观测到的SLSN PTF12dam,当它上升到最大光时,完全改变了它的O II吸收曲线,从一个提议的子类型移动到另一个。这支持了一种解释,即光谱多样性是由最大光下的喷出物温度驱动的,而不是由爆炸或起源的根本差异驱动的。基于此,我们开发了一种新的诊断方法,即亮度-时间尺度-温度-半径图和光球速度演化的简单模型,以表明光曲线上升时间的多样性(可能是由于喷射质量的差异)自然地解释了为什么光曲线较宽的SLSNe通常具有较弱的O II线,最大光球速度后较低,和光球速度随时间的变化较慢。我们发现,已知SLSN群的速度分布倾向于相对平坦的喷射物密度分布,与中央发动机膨胀的热泡一致。
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引用次数: 0
Photon sphere structure in Hayward regular black holes immersed in power-law plasma media 幂律等离子体介质中Hayward规则黑洞的光子球结构
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-15 DOI: 10.1007/s10509-026-04537-9
Ali Hasnain

Astrophysical plasma environments and quantum-gravity-inspired spacetime regularization collectively modify photon dynamics near compact objects, yet their coupled impact on photon sphere structure remains unquantified. This study examines the photon sphere radius ((r_{mathrm{ph}})) for static Hayward regular black holes immersed in a cold, non-magnetized plasma with a power-law density profile ((omega _{p}^{2} propto r^{-k})). The modified condition for circular photon orbits, incorporating the regularization parameter (l) and plasma strength (K), was numerically solved across physical parameter ranges. Results demonstrate a consistent inward shift of (r_{mathrm{ph}}) relative to the Schwarzschild vacuum case, with individual increases in (l) (to (1.0M)) or (K) (to 0.5) reducing (r_{mathrm{ph}}) by up to (12.7%) and over (18%), respectively. Crucially, combined effects exhibit nonlinear synergy: the contraction exceeds additive expectations, peaking at (l approx 0.8M) and (K approx 0.3) with a residual shift (Delta r_{mathrm{ph}}/M approx -0.32) and a total shift (delta r_{mathrm{ph}}^{mathrm{total}}/M approx -0.32) for typical accretion parameters ((k = 1.5)). This synergy, arising from the combined amplification by plasma gradients and quantum-corrected curvature, enhances sensitivity to plasma strength by (60%) compared to singular geometries. The corresponding 4–(12%) reduction in black hole shadow diameter underscores the significance of these interactions for interpreting next-generation interferometric observations of strong-gravity lensing features.

天体物理等离子体环境和量子引力激发的时空正则化共同改变了紧致物体附近的光子动力学,但它们对光子球结构的耦合影响仍未量化。本研究考察了沈浸在具有幂律密度分布((omega _{p}^{2} propto r^{-k}))的冷非磁化等离子体中的静态海沃德规则黑洞的光子球半径((r_{mathrm{ph}}))。采用正则化参数(l)和等离子体强度(K)对圆形光子轨道的修正条件进行了跨物理参数范围的数值求解。结果表明,相对于史瓦西真空情况,(r_{mathrm{ph}})的内移是一致的,个别增加(l)(到(1.0M))或(K)(到0.5),(r_{mathrm{ph}})分别减少到(12.7%)和(18%)以上。至关重要的是,联合效应表现出非线性协同作用:收缩超出了可加性预期,在(l approx 0.8M)和(K approx 0.3)处达到峰值,典型吸积参数((k = 1.5))的残余位移(Delta r_{mathrm{ph}}/M approx -0.32)和总位移(delta r_{mathrm{ph}}^{mathrm{total}}/M approx -0.32)。这种协同作用是由等离子体梯度和量子校正曲率的联合放大引起的,与单一几何形状相比,通过(60%)提高了对等离子体强度的灵敏度。相应的4 - (12%)黑洞阴影直径的减小强调了这些相互作用对于解释下一代强引力透镜特征的干涉观测的重要性。
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引用次数: 0
Exploring (f(Q)) gravity through variable generalized Chaplygin gas and matter creation cosmology 探索(f(Q))重力通过可变广义查普金气体和物质创造宇宙学
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-12 DOI: 10.1007/s10509-026-04533-z
Yogesh Bhardwaj, C. P. Singh

In this paper we explore a unified cosmological framework combining variable generalized Chaplygin gas (VGCG) and gravitationally–induced adiabatic matter creation cosmology within the context of (f(Q)) gravity. Theoretical and statistical analyses are performed with two functional forms, (f(Q)=n_{1} Q^{k}) and (f(Q)=n_{0}+n_{1}Q^{k}), where (n_{0}), (n_{1}) and (k) are dimensionless free parameters. Using the latest observational data sets we perform a robust statistical analysis to constrain the model’s parameters. A statistical comparison, including goodness-of-fit with standard (Lambda )CDM model is performed. The results show that the Bayesian inference favors the complex models while the model selection criterion, like Akaike information criteria (AIC) and Bayesian information criteria (BIC) favor the simpler (Lambda )CDM model. The results also show a smooth transition from deceleration to acceleration around the redshift (z approx 0.6) with effective equation of state parameter remains in the quintessence regime. The present value of Hubble parameter align closely with Planck 2018 measurements.

本文探讨了在(f(Q))重力背景下,结合可变广义Chaplygin气体(VGCG)和引力诱导绝热物质创造宇宙学的统一宇宙学框架。理论和统计分析用两种函数形式(f(Q)=n_{1} Q^{k})和(f(Q)=n_{0}+n_{1}Q^{k})进行,其中(n_{0})、(n_{1})和(k)是无量纲自由参数。利用最新的观测数据集,我们进行了稳健的统计分析,以约束模型的参数。与标准(Lambda ) CDM模型进行了统计比较,包括拟合优度。结果表明,贝叶斯推理倾向于复杂模型,而赤池信息准则(AIC)和贝叶斯信息准则(BIC)等模型选择准则倾向于更简单的(Lambda ) CDM模型。结果还表明,在红移(z approx 0.6)附近从减速到加速的平滑过渡,有效状态方程参数保持在精粹区。哈勃参数的现值与普朗克2018的测量结果非常接近。
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引用次数: 0
Observational constraints on anisotropic cosmology and dark energy in Finsler–Kropina models Finsler-Kropina模型中各向异性宇宙学和暗能量的观测约束
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-09 DOI: 10.1007/s10509-026-04536-w
J. Praveen, S. K. Narasimhamurthy

We investigate late–time cosmology in the Finsler–Barthel–Kropina framework, where anisotropic effects are introduced into the FLRW background through a time–dependent function (eta (t)) constructed via the osculating Riemannian approach. The resulting modified Friedmann equations generate direction–dependent corrections to the expansion history. Using Cosmic Chronometers (CC), DESI BAO, and Pantheon+ supernova observations, we reconstruct the Hubble rate, energy density, and key cosmographic quantities. The model yields (H_{0}) values consistent with late–time observations and negative value of deceleration parameter at present indicates ongoing acceleration phase of universe, while the reconstructed jerk and (Om(z)) diagnostics show clear departures from constant–(Lambda ) evolution, indicating effective dark-energy like dynamics sourced by Finslerian anisotropy. The predicted cosmic age is slightly higher than (Lambda )CDM. A model selection analysis based on information criteria shows that the Finsler–Kropina model performs competitively with (Lambda )CDM for the CC+ DESI BAO dataset, whereas the full joint dataset mildly favors (Lambda )CDM due to its lower parameter complexity. This demonstrates that Finsler–Kropina geometry offers a viable anisotropic extension of late–time cosmology.

我们在Finsler-Barthel-Kropina框架中研究了晚时间宇宙学,其中各向异性效应通过通过密切黎曼方法构建的时间相关函数(eta (t))引入FLRW背景。由此得到的修正的弗里德曼方程对膨胀历史产生方向相关的修正。利用Cosmic chronometer (CC)、DESI BAO和Pantheon+超新星观测,我们重建了哈勃速率、能量密度和关键的宇宙学量。模型得到的(H_{0})值与后期观测值一致,目前减速参数为负值表明宇宙正在进行加速阶段,而重建的jerk和(Om(z))诊断结果明显偏离恒定- (Lambda )演化,表明由芬斯勒各向异性来源的有效暗能量动力学。预测的宇宙年龄略高于(Lambda ) CDM。基于信息准则的模型选择分析表明,对于CC+ DESI BAO数据集,Finsler-Kropina模型与(Lambda ) CDM具有竞争优势,而对于全联合数据集,由于其参数复杂度较低,因此略微倾向于(Lambda ) CDM。这证明了Finsler-Kropina几何为晚时间宇宙学提供了一个可行的各向异性扩展。
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引用次数: 0
KNN algorithm for predicting phases of intense geomagnetic storms 强地磁风暴相位预测的KNN算法
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-05 DOI: 10.1007/s10509-025-04532-6
Asif Shah

This study uses the k-nearest neighbor (KNN) algorithm, Pearson correlation coefficient to predict sudden storm commencement (SSC), main, and recovery phases of ten intense storms (occurred during 2012-2018), and solar wind coupling with Earth’s magnetosphere. Probability distribution functions (pdfs) for solar wind interplanetary magnetic field (IMF), its Bz component and solar wind speed are also studied. IMF-Bz pdfs included single peak with and without bumps in front and on tail, double peak, and triple peak but highest positive correlation coefficients for double peak dominated those for triple peak distributions. Similar results are found for IMF pdfs. Contrarily, highest positive correlation coefficient occurred for single peak solar wind probability distribution. It is also found that storm phase prediction accuracy reduced when number of nearest neighbors is increased. The accuracy of prediction changed by replacing elements of data vectors. The highest accuracy occurred for data vectors including SYMH index and Bz component of an interplanetary magnetic field. The findings of this study can play a critical role in future space weather.

本研究利用k近邻(KNN)算法、Pearson相关系数预测了10次强风暴(2012-2018年发生)的突然风暴开始(SSC)、主要阶段和恢复阶段,以及太阳风与地球磁层的耦合。研究了太阳风行星际磁场(IMF)及其Bz分量和太阳风风速的概率分布函数。IMF-Bz pdf分布包括单峰、双峰和三峰分布,但双峰的最高正相关系数高于三峰分布。IMF pdf也发现了类似的结果。相反,单峰太阳风概率分布的正相关系数最高。研究还发现,随着最近邻数量的增加,风暴相位预测精度降低。通过替换数据向量的元素来改变预测的准确性。包括行星际磁场的SYMH指数和Bz分量在内的数据向量精度最高。这项研究的发现可以在未来的太空天气中发挥关键作用。
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引用次数: 0
A study of the pulsar EXO 1745-248 in (f(Q)) gravity with pseudo-spheroidal geometry 脉冲星EXO 1745-248在(f(Q))重力下的伪球面几何研究
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-03 DOI: 10.1007/s10509-025-04527-3
Bibhash Das, Sagar Dey, Bikash Chandra Paul

We present a singularity-free relativistic interior solution for constructing stable quark stellar models in the framework of a linear (f(Q)) gravity ((f(Q) = alpha Q + phi )) satisfying the pseudo-spheroidal geometry. The physical features and the stability of the stellar model is explored with strange star (SS) candidate EXO 1745-248 ((M = 1.7, M_{odot }) and (R = 9, km)). The Durgapal-Banerjee transformation is employed to obtain the relativistic interior solution using the MIT Bag model equation of state (EoS): (P = frac{1}{3}(rho - 4 mathcal{B}_{g})). For a linear form of (f(Q)) gravity, we obtain the exterior vacuum solution, which reduces to the Schwarzschild-de Sitter (SdS) solution with the cosmological constant term, (Lambda = frac{phi }{2alpha }). The stellar model is analyzed for the different values of the spheroidicity parameter ((mu )). The value of (alpha ) is constrained using a viable physical limit on the Bag parameter ((mathcal{B}_{g} in [57.55,95.11],MeV,fm^{-3})). The constraints on Mass-Radius relation indicates that physically acceptable SS models are permitted for (mu geq 7). The contribution of (mu ) to the energy density, pressure profiles, and other physical features is studied for the SS candidate EXO 1745-248. The stability of the stellar model obtained here is also analyzed through causality condition, adiabatic index and other stability criteria. We also investigate the stellar model for other SS candidates to test its viability. The relativistic interior solution obtained here can be used to construct viable and physically acceptable strange star models with very high compactness ratio in the framework of linear (f(Q)) gravity.

我们提出了在满足伪球面几何的线性(f(Q))重力((f(Q) = alpha Q + phi ))框架下构造稳定夸克恒星模型的无奇点相对论内部解。用奇异星(SS)候选者EXO 1745-248 ((M = 1.7, M_{odot })和(R = 9, km))探索了恒星模型的物理特征和稳定性。利用MIT Bag模型状态方程(EoS): (P = frac{1}{3}(rho - 4 mathcal{B}_{g})),采用Durgapal-Banerjee变换获得相对论性内部解。对于线性形式的(f(Q))重力,我们得到了外真空解,它可以简化为具有宇宙常数项(Lambda = frac{phi }{2alpha })的Schwarzschild-de - Sitter (SdS)解。对不同球度参数值的恒星模型进行了分析((mu ))。(alpha )的值受到Bag参数((mathcal{B}_{g} in [57.55,95.11],MeV,fm^{-3}))上可行的物理限制的约束。质量-半径关系的约束表明,(mu geq 7)允许物理上可接受的SS模型。研究了(mu )对SS候选者EXO 1745-248的能量密度、压力分布和其他物理特征的贡献。并通过因果条件、绝热指数和其他稳定性判据对模型的稳定性进行了分析。我们还研究了其他SS候选者的恒星模型,以测试其可行性。本文得到的相对论内解可用于在线性(f(Q))重力框架下构造可行且物理上可接受的具有很高紧致比的奇异星模型。
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Astrophysics and Space Science
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