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Temperature of a finite-sized system fluctuates due to the thermal fluctuations. However, a systematic mathematical framework for measuring or estimating the temperature is still underdeveloped. Here, we incorporate the estimation theory in…

Statistical Mechanics · Physics 2026-03-17 Shaoyong Zhang , Zhaoyu Fei , Xiaoguang Wang

The Sunyaev-Zeldovich (SZ) effect is a powerful tool in modern cosmology. With future observations promising ever improving SZ measurements, the relativistic corrections to the SZ signals from galaxy groups and clusters are increasingly…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 Elizabeth Lee , Dhayaa Anbajagane , Priyanka Singh , Jens Chluba , Daisuke Nagai , Scott T. Kay , Weiguang Cui , Klaus Dolag , Gustavo Yepes

The cluster and field luminosity functions (LFs) determined on large homogeneous samples (N>2200 galaxies each) are almost indistinguishable, down to M^*+4 in the r and i filters, hence suggesting that the effect of the cluster environment…

Astrophysics · Physics 2009-11-10 S. Andreon

We study the evolution of the ICM with a sample of 70 galaxy clusters spanning 0.18 < z < 1.24. We find that X-ray luminosity and ICM mass at a fixed temperature evolve with redshift in a manner inconsistent with the standard self-similar…

Astrophysics · Physics 2007-11-01 T. B. O'Hara , J. J. Mohr , A. J. R. Sanderson

In efforts to determine phase transitions in the disintegration of highly excited heavy nuclei, a popular practice is to parametrise the yields of isotopes as a function of temperature in the form $Y(z)=z^{-\tau}f(z^{\sigma}(T-T_0))$, where…

We present results from recent simulations of the formation and evolution of clusters of galaxies in a LambdaCDM cosmology. These simulations contain our most physically complete input physics to date including radiative cooling, star…

Astrophysics · Physics 2007-05-23 P. M. Motl , J. O. Burns , M. L. Norman , G. L. Bryan

To explain the effect of electron density saturation at high phosphorus concentrations the model of negatively charged phosphorus clusters was compared with the experimental data. A number of negatively charged clusters incorporating a…

Materials Science · Physics 2011-09-20 O. I. Velichko , N. A. Sobolevskaya

We developed the functional form of the two-point correlation function under the approximation of fixed particle number density n(bar). We solved the quasi-linear partial differential equation (PDE) through the method of characteristics to…

Astrophysics of Galaxies · Physics 2022-07-01 Durakhshan Ashraf Qadri , Abdul W. Khanday , Prince A. Ganai

Abell 115 exhibits two distinct peaks in the surface brightness distribution. ASCA observation shows a significant temperature variation in this cluster, confirmed by a hardness ratio analysis and spectral fits. A linking region between…

Astrophysics · Physics 2009-10-31 R. Shibata , H. Honda , M. Ishida , T. Ohashi , K. Yamashita

We present the first results of a survey of 14 low redshift galaxy clusters using Suzaku. Although luminous (L_x> 1\times 10^{43} erg s^{-1} (0.1-2.4 keV)), these clusters have no prior pointed X-ray data. Together with 47 other systems…

Astrophysics · Physics 2008-12-18 Cien Shang , Caleb Scharf

Using archival Chandra and XMM-Newton data on 35 galaxy clusters, we measured average temperature and metallicity profiles for clusters based separated by temperature, cooling time, and redshift. Our results show no evidence for significant…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 S. Ehlert , M. P. Ulmer

We study model protein solutions and colloidal suspensions in the temperature range whereupon the nature of the system changes from a homogeneous fluid to a "cluster fluid". It is commonly assumed - as deduced by the behavior of the…

Statistical Mechanics · Physics 2011-09-02 Jean-Marc Bomont , Jean-Louis Bretonnet , Dino Costa

We study the effects of radiative cooling, star formation and stellar feedback on the properties and evolution of galaxy clusters using high-resolution Adaptive Mesh Refinement N-body+gasdynamics simulations of clusters forming in the LCDM…

Astrophysics · Physics 2009-11-10 Daisuke Nagai , Andrey V. Kravtsov

Temperature chaos (TC) in spin glasses has been claimed to exist no matter how small the temperature change, $\Delta T$. However, experimental studies have exhibited a finite value of $\Delta T$ for a transition to TC. This paper explores…

Disordered Systems and Neural Networks · Physics 2025-03-19 Hongze Li , Jiaming He , Raymond L. Orbach

Galaxy clusters exhibit regular scaling relations among their bulk properties. These relations establish vital links between halo mass and cluster observables. Precision cosmology studies that depend on these links benefit from a better…

Astrophysics · Physics 2009-11-13 David A. Ventimiglia , G. Mark Voit , Megan Donahue , S. Ameglio

Recent XMM-Newton observations of clusters of galaxies have indicated the soft X-ray spectra to be inconsistent with the simple isobaric cooling flow model. There is almost no feature of the cold gas expected from the model. This shows that…

Astrophysics · Physics 2015-06-24 Shin Sasaki , Noriko Y. Yamasaki

The properties of nearby galaxy clusters limit the range of cosmological parameters consistent with our universe. We describe the limits which arise from studies of the intracluster medium (ICM) mass fraction fICM and consideration of the…

Astrophysics · Physics 2016-11-03 Joseph J. Mohr , Zoltan Haiman , Gilbert P. Holder

We present an analysis of the clustering evolution of dark matter in four cold dark matter (CDM) cosmologies. We use a suite of high resolution, 17-million particle, N-body simulations which sample volumes large enough to give clustering…

We consider the logarithmic negativity of a finite interval embedded in an infinite one dimensional system at finite temperature. We focus on conformal invariant systems and we show that the naive approach based on the calculation of a…

Statistical Mechanics · Physics 2014-12-17 Pasquale Calabrese , John Cardy , Erik Tonni

Several factors make clustering of functional data challenging, including the infinite-dimensional space to which observations belong and the lack of a defined probability density function for the functional random variable. To overcome…

Methodology · Statistics 2025-02-03 Andi Mai , Lan Xue , Roger Zoh , Carmen Tekwe
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