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Development of a Compton imager setup 康普顿成像仪装置的研制
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-04 DOI: 10.1007/s12036-025-10110-7
Anuraag Arya, Harmanjeet Singh Bilkhu, Sandeep Vishwakarma, Hrishikesh Belatikar, Varun Bhalerao, Abhijeet Ghodgaonkar, Jayprakash G. Koyande, Aditi Marathe, N. P. S. Mithun, Sanjoli Narang, Sudhanshu Nimbalkar, Pranav Page, Sourav Palit, Arpit Patel, Amit Shetye, Siddharth Tallur, Shriharsh Tendulkar, Santosh Vadawale, Gaurav Waratkar

Hard X-ray photons with energies in the range of hundreds of keV typically undergo Compton scattering when they are incident on a detector. In this process, an incident photon deposits a fraction of its energy at the point of incidence and continues onwards with a change in direction that depends on the amount of energy deposited. By using a pair of detectors to detect the point of incidence and the direction of the scattered photon, we can calculate the scattering direction and angle. The position of a source in the sky can be reconstructed using many Compton photon pairs from a source. We demonstrate this principle in the laboratory by using a pair of Cadmium Zinc Telluride (CZT) detectors sensitive in the energy range of 20–200 keV, similar to those used in AstroSat/CZT Imager (CZTI). The laboratory setup consists of two detectors placed perpendicular to each other in a lead-lined box. The detectors are read out by a custom-programmed Xilinx PYNQ-Z2 FPGA board, and data are then transferred to a personal computer (PC). There are two key updates from CZTI: the detectors are read concurrently rather than serially, and the time resolution has been improved from 20 to 7.5 (mu )s. We irradiated the detectors with a collimated (^{133} texttt {Ba}) source and identified Compton scattering events for the 356 keV line. We run a Compton reconstruction algorithm to correctly infer the location of the source in the detector frame, with a location-dependent angular response measure of 16(^circ )–30(^circ ). This comprises a successful technology demonstration for a Compton imaging camera in the hard X-ray regime. We present the details of our setup, the data acquisition process, and software algorithms, and showcase our results. We also quantify the limitations of this setup and discuss ways of improving the performance in future experiments.

能量在数百keV范围内的硬x射线光子入射到探测器上时,通常会发生康普顿散射。在这个过程中,入射光子在入射点沉积一小部分能量,并根据沉积的能量的大小改变方向继续前进。利用一对探测器探测散射光子的入射点和方向,可以计算出散射方向和角度。一个光源在天空中的位置可以用来自一个光源的许多康普顿光子对来重建。我们在实验室中使用一对敏感于20-200 keV能量范围的碲化镉锌(CZT)探测器来证明这一原理,类似于AstroSat/CZT成像仪(CZTI)中使用的探测器。实验室装置由两个相互垂直放置在铅衬盒中的探测器组成。检测器由定制编程的Xilinx PYNQ-Z2 FPGA板读出,然后将数据传输到个人计算机(PC)。CZTI有两个关键的更新:探测器是并发读取而不是串行读取,时间分辨率从20提高到7.5 (mu ) s。我们用准直(^{133} texttt {Ba})源照射探测器,并确定了356 keV线的康普顿散射事件。我们运行康普顿重构算法来正确推断探测器框架中源的位置,其位置相关的角响应测量值为16 (^circ ) -30 (^circ )。这包括一个成功的技术演示康普顿成像相机在硬x射线制度。我们介绍了我们的设置,数据采集过程和软件算法的细节,并展示了我们的结果。我们还量化了这种设置的局限性,并讨论了在未来实验中提高性能的方法。
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引用次数: 0
A possible correlation between cluster lifetime and its number density 星团寿命与其数量密度之间可能存在的相关性
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-01 DOI: 10.1007/s12036-025-10101-8
SUSHMITA DEB, BIMAN J. MEDHI, SAMRAT BISWAS

In this study, we present our scientific approach to observationally infer possible correlations of the disruption age with the stellar surface density and two-dimensional radius for 200 open star clusters within the solar neighbourhood. A detailed statistical analysis of number density, core and tidal radius, mass, and log(age) has also been presented using the Gaia EDR3 database. The initial mass and disruption time of the individual clusters are calculated using the analytical relations available in the literature, considering the cluster mass loss mechanism due to stellar evolution and tidal interactions. Considering the mass loss models used in this study, we also observe the variation of the initial mass of the star clusters as a function of their present age. We carry out a linear fit for the variation of the cluster disruption time with its number density, which gives an approximate correlation of the form, (t_{textrm{dis}}propto rho _{o}^{0.230pm 0.052}). We also assess this linear relation using statistical correlations, which results in a moderate coefficient value of 0.3903. This statistical correlation and the power law relation illustrate that disruption time increases with the increasing stellar surface density of the cluster. We also observationally and statistically investigate the correlation between the radius and disruption time of the clusters, but no prominent dependence was found between them.

在这项研究中,我们提出了我们的科学方法,通过观测推断出在太阳附近的200个疏散星团的恒星表面密度和二维半径与破裂年龄之间可能的相关性。本文还利用Gaia EDR3数据库对数量密度、岩心和潮汐半径、质量和对数(年龄)进行了详细的统计分析。考虑到恒星演化和潮汐相互作用导致的星团质量损失机制,利用文献中可用的解析关系计算了单个星团的初始质量和破坏时间。考虑到本研究中使用的质量损失模型,我们还观察到星团初始质量的变化作为它们当前年龄的函数。我们对簇破坏时间随其数量密度的变化进行了线性拟合,这给出了形式(t_{textrm{dis}}propto rho _{o}^{0.230pm 0.052})的近似相关性。我们还使用统计相关性来评估这种线性关系,其结果是适度的系数值0.3903。这种统计相关性和幂律关系表明,随着星团表面密度的增加,破坏时间也随之增加。我们还观察和统计研究了集群半径与中断时间之间的相关性,但没有发现它们之间存在显著的相关性。
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引用次数: 0
Characterizing proton polytropic indices inside near-Earth magnetic clouds and ICME sheaths 近地磁云和ICME鞘内质子多向指数的表征
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-10-31 DOI: 10.1007/s12036-025-10103-6
Debesh Bhattacharjee, Saikat Majumder, Prasad Subramanian

The thermodynamics of interplanetary coronal mass ejections (ICMEs) is often described using a polytropic process. Estimating the polytopic index ((gamma )) allows us to quantify the expansion or compression of the ICME plasma arising from changes in the plasma temperature. In this study, we estimate (gamma ) for protons inside the magnetic clouds (MCs), their associated sheaths, and ambient solar wind for a large sample of well-observed events observed by the Wind spacecraft at 1 AU. We find that (gamma ) shows a high (({approx }1.6)) – low (({approx } 1.05)) – high (({approx }1.2)) behavior inside the ambient solar wind, sheath, and MCs, respectively. We also find that the proton polytropic index is independent of small-scale density fluctuations. Furthermore, our results show that the stored energy inside MC plasma is not expended in expanding its cross-section at 1 AU. The sub-adiabatic nature of MC plasma implies external heating – possibly due to thermal conduction from the corona. We find that the heating gradient per unit mass from the corona to the protons of MC at 1 AU is ({approx } 0.21) erg cm(^{-1}) g(^{-1}), which is in agreement with the required proton heating budget.

行星际日冕物质抛射(ICMEs)的热力学通常用多向性过程来描述。估计多聚体指数((gamma ))使我们能够量化由于等离子体温度变化引起的ICME等离子体的膨胀或压缩。在这项研究中,我们估计了在1天文单位的wind航天器观测到的大量观测到的事件中,磁云(MCs)内的质子、它们相关的鞘层和周围太阳风的(gamma )。我们发现(gamma )在环境太阳风、鞘层和mc中分别表现出高(({approx }1.6)) -低(({approx } 1.05)) -高(({approx }1.2))的行为。我们还发现质子多向性指数与小尺度密度波动无关。此外,我们的结果表明,在1au时,MC等离子体内部储存的能量并没有被消耗在扩大其横截面上。MC等离子体的亚绝热性质意味着外部加热-可能是由于来自日冕的热传导。我们发现,每单位质量从日冕到MC的质子的加热梯度为({approx } 0.21) erg cm (^{-1}) g (^{-1}),符合所需的质子加热预算。
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引用次数: 0
Seismic test of the mass-radius relationship of hydrogen-atmospheric white dwarf stars 氢-大气白矮星质量-半径关系的地震试验
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-10-27 DOI: 10.1007/s12036-025-10106-3
Tianqi Cang, Jiayi Zhang, Jian-Ning Fu, He Zhao, Weikai Zong

The pulsation of white dwarfs provides crucial information on stellar parameters for understanding the atmosphere and interior structure of these stars. In this study, we present a comprehensive statistical analysis of known ZZ Ceti stars from historical literature. Our dataset includes stellar parameters and oscillation properties from 339 samples, with 194 of them having undergone asteroseismological analysis. We investigated the empirical instability strip of ZZ Ceti stars and confirmed the linear relationship between temperature and weighted mean pulsation periods (WMP). We found that the WMP distribution is well-described with two groups of stars with peak values at ({sim }254) and ({sim }719) s. Using seismic mass and trigonometrical radii derived from GAIA DR3 parallaxes, we tested the mass-radius relationship of white dwarfs through observational and seismic analysis of ZZ Cetis. They are generally larger than the theoretical values, with the discrepancy reaching up to ({sim }15)% for massive stars with a mass estimated by seismology.

白矮星的脉动为了解这些恒星的大气和内部结构提供了重要的恒星参数信息。在这项研究中,我们从历史文献中对已知的Ceti ZZ星进行了全面的统计分析。我们的数据集包括339个样本的恒星参数和振荡特性,其中194个样本进行了星震分析。研究了Ceti ZZ星的经验不稳定带,证实了温度与加权平均脉动周期(WMP)之间的线性关系。我们发现WMP的分布很好地描述了两组恒星,它们的峰值在 ({sim }254) 和 ({sim }719) 5 .利用GAIA DR3视差的地震质量和三角半径,通过对ZZ Cetis的观测和地震分析,验证了白矮星的质量-半径关系。它们一般都大于理论值,差异可达 ({sim }15)% for massive stars with a mass estimated by seismology.
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引用次数: 0
SWASTi: A physics-based modelling toolkit for space weather SWASTi:基于物理的空间天气建模工具包
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-10-25 DOI: 10.1007/s12036-025-10107-2
Prateek Mayank, Jithu J. Athalathil, Sirsha Nandy, Bhargav Vaidya, A. V. Navanit, Arghyadeep Paul

Space weather poses significant risks to technical systems and the global economy, making it a critical area of research. Coronal mass ejections (CMEs) are the primary drivers of space weather and can cause intense geomagnetic disturbances. The solar wind (SW) governs CME propagation in the heliosphere and drives geomagnetic storm activities. Understanding the evolution of SW stream interaction regions (SIRs), CMEs, and their interactions in the inner heliosphere is essential for accurately predicting their arrival times and mitigating their impacts. This study presents a review of Space Weather Adaptive Simulation (SWASTi), an indigenous three-dimensional magnetohydrodynamic (MHD) modelling framework, with a focus on its SW and CME modules. Comparative analysis with in situ observations demonstrates the model’s robustness, revealing the significant role of ambient SW conditions in shaping the morphological and dynamical properties of CMEs. The geo-effective impact of CME-CME interactions are also explored with a particular focus on the recent Gannon storm. Furthermore, the study discusses how in situ measurements from the Aditya-L1 mission can synergise with the SWASTi framework. This integrated approach, leveraging Aditya-L1 data and SWASTi’s 3D MHD simulations, provides new insights into the complex behaviour of solar wind, SIRs, and CMEs, promising significant advancements in near-real-time space weather forecasting.

空间天气对技术系统和全球经济构成重大风险,使其成为一个关键的研究领域。日冕物质抛射(cme)是空间天气的主要驱动因素,可以引起强烈的地磁干扰。太阳风(SW)控制日冕物质抛射在日球层的传播并驱动地磁风暴活动。了解SW流相互作用区域(SIRs)、日冕物质抛射(cme)的演化及其在日球层内部的相互作用,对于准确预测其到达时间和减轻其影响至关重要。本研究介绍了空间天气自适应模拟(SWASTi),这是一个本土的三维磁流体动力学(MHD)建模框架,重点是它的SW和CME模块。与现场观测结果的对比分析证明了该模型的鲁棒性,揭示了环境SW条件在塑造cme形态和动力学特性方面的重要作用。CME-CME相互作用对地球的有效影响也进行了探讨,特别关注最近的甘农风暴。此外,该研究还讨论了Aditya-L1任务的原位测量如何与SWASTi框架协同作用。这种综合方法利用Aditya-L1数据和SWASTi的3D MHD模拟,为太阳风、SIRs和cme的复杂行为提供了新的见解,有望在近实时空间天气预报方面取得重大进展。
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引用次数: 0
Reconstruction of cosmic ray air shower core location at SURA experiment SURA实验中宇宙射线气淋核心位置的重建
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-10-18 DOI: 10.1007/s12036-025-10098-0
Fatemeh Latifian, Gohar Rastegarzadeh

The Semnan University Radio Array (SURA) is a self-triggered radio array located on the roof of the Physics Faculty at Semnan University in Iran. It is designed to detect radio emissions from air showers generated by ultra-high energy (UHE) cosmic rays with energies exceeding (10^{17}) eV. The array consists of 4 Log-Periodic Dipole Antennas (LPDAs) operating in the 40–80 MHz range. In this study, we present a method for reconstructing the core location of extensive air showers (EAS) by comparing the signal intensities of simulated and experimental data. We employ a simulated dense array as a reference and determine the core location by matching the experimental signal intensity of each antenna with the corresponding reference antenna in the simulated dense array. The method is first validated using simulated events to estimate its accuracy. We then apply it to the cosmic ray candidates detected by the SURA. Our results show that the core location can be reconstructed with a minimum error of about 3 m. However, when the characteristics of the shower being reconstructed differ significantly from the reference array, the error increases. To enhance reconstruction precision and computational efficiency, we explore optimizations, including reducing the dense array size and accounting for variations in primary energy and arrival direction. Our findings demonstrate the potential of radio-based techniques for high-precision core location reconstruction, providing valuable insights for future large-scale cosmic ray observatories.

Semnan大学无线电阵列(SURA)是一个自触发无线电阵列,位于伊朗Semnan大学物理学院的屋顶上。它被设计用来探测能量超过(10^{17})电子伏特的超高能量宇宙射线产生的空气阵雨的射电辐射。该阵列由4个工作在40-80 MHz范围内的对数周期偶极子天线(lpda)组成。在这项研究中,我们提出了一种通过比较模拟和实验数据的信号强度来重建大面积空气淋点(EAS)核心位置的方法。我们采用模拟密集阵列作为参考,通过将每个天线的实验信号强度与模拟密集阵列中对应的参考天线进行匹配来确定核心位置。首先用模拟事件对该方法进行了验证,以估计其精度。然后我们将其应用于由SURA探测到的宇宙射线候选者。结果表明,在最小误差约为3 m的情况下,可以重建岩心位置。然而,当被重构的阵雨的特征与参考阵列有明显差异时,误差就会增大。为了提高重建精度和计算效率,我们探索了优化方法,包括减小密集阵列尺寸和考虑一次能量和到达方向的变化。我们的发现展示了基于无线电的高精度核心位置重建技术的潜力,为未来的大型宇宙射线天文台提供了有价值的见解。
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引用次数: 0
Annotated catalog of intense geomagnetic storms including their solar and interplanetary causes 强地磁风暴的注释目录,包括它们的太阳和行星际原因
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-10-15 DOI: 10.1007/s12036-025-10091-7
N. Gopalswamy, S. Akiyama, S. Yashiro, P. Mäkelä, H. Xie

Geomagnetic storms are the result of interaction between Earth’s magnetic field and interplanetary magnetic field conducted by large-scale structures from the Sun, such as coronal mass ejections (CMEs) and stream interaction regions (SIRs). CMEs originate from closed magnetic regions on the Sun, such as active regions and quiescent filament regions. SIRs are formed in the interplanetary medium due to the fast solar wind originating from coronal holes—regions of open magnetic field lines and interacting with the slow wind ahead. Geomagnetic storms have significant space weather consequences, such as geomagnetically induced currents, atmospheric heating, ionospheric density changes and energization of Van Allen belt electrons to relativistic energies. In this paper, we describe a catalog of intense geomagnetic storms with the Dst index (le -)100 nT (https://cdaw.gsfc.nasa.gov/CME_list/dst100), which is obtained from the Dst data made available online by the World Data Center, Kyoto, Japan. The catalog contains detailed information on the solar source – whether a CME or a coronal hole, including the cases that are due to a combined action of the two. The catalog also provides detailed information on the CME sources and coronal holes. We also presented some statistical results derived from the catalog.

地磁风暴是地球磁场和行星际磁场相互作用的结果,由太阳的大规模结构引起,如日冕物质抛射(cme)和流相互作用区(SIRs)。cme起源于太阳上的封闭磁区,如活跃区和静止灯丝区。SIRs是在行星际介质中形成的,这是由于来自日冕洞的快速太阳风形成的——日冕洞是开放磁场线的区域,与前方的慢风相互作用。地磁风暴具有重要的空间天气后果,如地磁感应电流、大气加热、电离层密度变化和范艾伦带电子向相对论能量的通电。本文用日本京都世界数据中心在线提供的Dst数据,描述了一个Dst指数为(le -) 100 nT (https://cdaw.gsfc.nasa.gov/CME_list/dst100)的强地磁暴目录。该目录包含了太阳源的详细信息——无论是CME还是日冕洞,包括由于两者共同作用的情况。该目录还提供了CME来源和日冕洞的详细信息。我们还介绍了从目录中得出的一些统计结果。
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引用次数: 0
A kinematic and structural study of young open clusters in the Milky Way galaxy using Gaia DR3 catalogue 用Gaia DR3星表研究银河系年轻疏散星团的运动学和结构
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-10-14 DOI: 10.1007/s12036-025-10104-5
K. H. Harsha, Annapurni Subramaniam, S. R. Dhanush, D. S. Hariharan

We aim to identify the cluster members, estimate cluster properties, study the dynamical state of the clusters as a function of mass, trace the existence of dynamical effects in massive stars, and check for spatial patterns of members in young clusters. We studied 14 young open clusters located within 1 kpc using the data from Gaia DR3 with the membership estimated using the GMM method. The cluster parameters, such as age, distance, metallicity, and extinction were estimated by fitting PARSEC isochrones to the CMDs. These clusters are found to have ages between 6 and 90 Myr, located between 334 and 910 pc, covering a mass range of 0.13–13.77 (hbox {M}_odot ). In five of these clusters, stars from F to M spectral type show increasing velocity dispersion, a signature for dynamical relaxation. We detect high proper motion for B and A-type stars, possible walkaway stars in the other five clusters, Alessi Teutsch 5, ASCC 16, ASCC 21, IC 2395, and NGC 6405. We demonstrate the existence of mass-dependent velocity dispersion in young clusters, suggestive of dynamical relaxation. The typical range of transverse velocity dispersion is found to be 0.40–0.70 km (hbox {s}^{-1}) for young clusters.

我们的目标是识别星团成员,估计星团性质,研究星团的动态状态作为质量的函数,追踪大质量恒星中存在的动态效应,并检查年轻星团中成员的空间模式。我们利用Gaia DR3的数据研究了位于1 kpc内的14个年轻疏散星团,并使用GMM方法估计了隶属度。通过拟合PARSEC等时线来估计星团的年龄、距离、金属丰度和消光等参数。这些星团被发现的年龄在6到90迈之间,位于334到910 pc之间,覆盖了0.13-13.77 (hbox {M}_odot )的质量范围。在其中的5个星团中,从F到M光谱型的恒星表现出不断增加的速度色散,这是动力松弛的标志。我们探测到B型和a型恒星的高固有运动,以及其他5个星团(Alessi Teutsch 5、ASCC 16、ASCC 21、IC 2395和NGC 6405)中可能的游离恒星。我们证明了年轻星系团中存在质量依赖的速度色散,暗示了动力学弛豫。发现年轻星团的横向速度色散的典型范围为0.40-0.70 km (hbox {s}^{-1})。
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引用次数: 0
On-axis afocal telescopes as framework for CubeSat based astronomical imagers and slit-less spectrographs 作为立方体卫星天文成像仪和无缝隙光谱仪框架的轴向聚焦望远镜
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-10-08 DOI: 10.1007/s12036-025-10100-9
ANWESH KUMAR MISHRA, GOURAV BANERJEE, REKHESH MOHAN, MAHESWAR GOPINATHAN

CubeSats present unique opportunities for observational astronomy in the modern era. They are useful in observing difficult-to-access wavelength regions and long-term monitoring of interesting astronomical sources. However, conventional telescope designs are not necessarily the best fit for the restricted envelope of a CubeSat. Additionally, fine-pointing stability on these platforms is difficult due to the low mass of the spacecraft, and special allocations within the optical design are needed to achieve stable pointing. We propose afocal telescope designs as the framework to realise imagers and low-resolution spectrographs on CubeSat platforms. These designs help reduce the number of components in the optical chain and aim to improve throughput and sensitivity compared to conventional designs. Additionally, they also provide a fine steering mechanism within a collimated beam section. Fine beam steering within the collimated beam section avoids issues of image degradation due to out-of-plane rotation of the image plane or offset in the rotation axis of the mirror. This permits using simple and mostly off-the-shelf tip-tilt mirrors for beam steering. The designs discussed here also allow for a standard telescope design to be used in many instrument types; thus reducing the complexity as well as the development time and cost. The optical design, performance, and SNR estimations of these designs, along with some interesting science cases, are discussed. Several practical aspects in implementation, such as guiding, tolerancing, choice of detectors, vibration analysis, and laboratory test setups, are also presented.

立方体卫星为现代观测天文学提供了独特的机会。它们在观测难以进入的波长区域和长期监测有趣的天文来源方面很有用。然而,传统的望远镜设计并不一定最适合立方体卫星有限的外壳。此外,由于航天器质量较低,这些平台上的精确指向稳定性很困难,需要在光学设计中进行特殊配置以实现稳定指向。我们提出聚焦望远镜设计作为框架,以实现在立方体卫星平台上的成像仪和低分辨率光谱仪。这些设计有助于减少光链中的组件数量,与传统设计相比,旨在提高吞吐量和灵敏度。此外,它们还在准直光束段内提供了良好的转向机制。在准直光束段内的精细光束转向避免了由于像平面的平面外旋转或在镜子旋转轴上的偏移引起的图像退化问题。这允许使用简单的和大多数现成的倾斜反射镜来控制光束。这里讨论的设计还允许在许多仪器类型中使用标准望远镜设计;从而降低了复杂性以及开发时间和成本。讨论了这些设计的光学设计、性能和信噪比估计,以及一些有趣的科学案例。还介绍了实施中的几个实际方面,如导向、公差、检测器的选择、振动分析和实验室测试设置。
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引用次数: 0
Fluctuation theory, critical phenomena and gravitational clustering of galaxies 涨落理论,临界现象和星系的引力群集
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-10-06 DOI: 10.1007/s12036-025-10105-4
M. S. Khan, Mohamed H. Abdullah, Zahir Shah, Owais Farooq, Khan Azmat

We investigate the phenomenon of clustering of galaxies in an expanding universe by applying the fluctuation theory. We evaluate the fluctuation moments for the number of particles as well as the correlated fluctuations for number and energy of particles (galaxies), clustering under their mutual gravitation. The correlated fluctuations (langle Delta NDelta Urangle ) show interesting results. The value of (langle Delta Nrangle ) can be both positive and negative, because it is the difference between N and the mean value of N. A negative (langle Delta Nrangle ) corresponds to regions of underdensity and a positive (langle Delta Nrangle ) corresponds to regions of overdensity, as described by the clustering parameter b. The present work is concerned with the region (bge 0), at which gravitational interaction has already started causing the galaxies to cluster. Thus, for this work, the value of (langle Delta Nrangle ) is positive. Similarly, the energy fluctuations (langle Delta Urangle ) can also be both positive and negative. For large correlations, the overdense regions typically have negative total energy, and the underdense regions have usually positive total energy. The critical value at which this switch occurs has been calculated analytically. The results obtained by fluctuation theory closely match those obtained earlier by specific heat analysis and Lee-Yang theory. The evaluation has been extended to multicomponent systems, having a variety of masses. It has been found that the gravitational clustering of galaxies is more sensitive to mass ratios and less sensitive to the number densities of galaxies. This means there is little effect of (nu ) (number density), but a significant effect of (mu ) (mass) of galaxies on the clustering phenomenon. The clustering of galaxies is quicker when the mass of individual galaxies increases. They become nuclei for condensation. As the mass of galaxies increases, the transition from positive to negative energy occurs at a higher stage of clustering than in a single-component system.

应用涨落理论研究了膨胀宇宙中星系的聚集现象。我们评估了粒子数量的涨落力矩以及粒子(星系)在相互引力作用下聚集的数量和能量的相关涨落。相关波动(langle Delta NDelta Urangle )显示了有趣的结果。(langle Delta Nrangle )的值可以是正的也可以是负的,因为它是N和N的平均值之间的差值。一个负的(langle Delta Nrangle )对应于密度不足的区域,一个正的(langle Delta Nrangle )对应于密度过高的区域,正如聚类参数b所描述的那样。目前的工作是关于区域(bge 0),在那里引力相互作用已经开始导致星系聚集。因此,对于这项工作,(langle Delta Nrangle )的值是正的。同样,能量波动(langle Delta Urangle )也可以是正的和负的。对于大相关性,过密区域通常具有负的总能量,而过密区域通常具有正的总能量。发生这种转换的临界值已经用解析方法计算过了。波动理论的计算结果与比热分析和李杨理论的计算结果吻合较好。该评价方法已推广到具有多种质量的多组分系统。已经发现,星系的引力星系团对质量比更敏感,而对星系的数量密度不太敏感。这意味着(nu )(数量密度)对星团现象的影响很小,而(mu )(质量)对星团现象的影响很大。当单个星系的质量增加时,星系的聚集速度就会加快。它们凝结成原子核。随着星系质量的增加,从正能量到负能量的转变发生在比单组分系统更高的群集阶段。
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引用次数: 0
期刊
Journal of Astrophysics and Astronomy
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