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The physics of stars, their workings and their evolution, is a goldmine of problems in statistical mechanics and thermodynamics. We discuss many examples that illustrate the possibility of deepening student's knowledge of statistical…

统计力学 · 物理学 2009-10-31 R. Balian , J. -P. Blaizot

The dynamics of molecular collisions in a macroscopic body are encoded by the parameter Thermodynamic entropy - a statistical measure of the number of molecular configurations that correspond to a given macrostate. Directionality in the…

种群与进化 · 定量生物学 2020-05-22 Lloyd Demetrius , Christian Wolf

According to the second law of thermodynamics, the arrow of time points to an ever increasing entropy of the Universe. However, exactly how the entropy evolves with time and what drives the growth remain largely unknown. Here, for the first…

宇宙学与河外天体物理 · 物理学 2012-11-09 Xinghai Zhao , Yuexing Li , Qirong Zhu , Derek Fox

The principle of entropy increase is not only the basis of statistical mechanics, but also closely related to the irreversibility of time, the origin of life, chaos and turbulence. In this paper, we first discuss the dynamic system…

统计力学 · 物理学 2022-10-11 Zou Dan Dan

In this work, we study the entropies of photons, dust (baryonic matter), dark matter, and dark energy in the context of cosmology. When these components expand freely with the universe, we calculate the entropy and specific entropy of each…

广义相对论与量子宇宙学 · 物理学 2024-02-26 Hao Yu , Yu-Xiao Liu , Jin Li

We give a short review of the recent developments of entropic cosmology based on two thermodynamic laws of the apparent horizon, namely the first and the second laws of thermodynamics. The first law essentially provides the change of the…

广义相对论与量子宇宙学 · 物理学 2024-09-04 Shin'ichi Nojiri , Sergei D. Odintsov , Tanmoy Paul

The universal validity of the second law of thermodynamics is widely attributed to a finely tuned initial condition of the universe. This creates a problem: why is the universe atypical? We suggest that the problem is an artefact created by…

广义相对论与量子宇宙学 · 物理学 2015-07-27 Julian Barbour , Tim Koslowski , Flavio Mercati

Statistical description of the Universe as non-equilibrium system has been proposed. Based on two fundamental principles, i.e., the law of increasing entropy and the principle of minimum energy of the system and try to answer the question…

综合物理 · 物理学 2019-01-17 B. I. Lev , A. G. Zagorodny

It is established that black holes have entropy and behave as thermodynamical systems. Associating entropy to gravitational fields has not remained limited to black holes, necessitating the notion of the second law of thermodynamics in…

高能物理 - 理论 · 物理学 2026-03-26 V. R. Shajiee , M. M. Sheikh-Jabbari

In a macroscopic (quantum or classical) Hamiltonian system, we prove the second law of thermodynamics in the forms of the minimum work principle and the law of entropy increase, under the assumption that the initial state is described by a…

统计力学 · 物理学 2007-05-23 Hal Tasaki

It is a common belief that in any environment where life is possible, life will be generated. Here it is suggested that the cause for a spontaneous generation of complex systems is probability driven processes. Based on equilibrium…

信息论 · 计算机科学 2007-11-29 Oded Kafri

Several results of black holes thermodynamics can be considered as firmly founded and formulated in a very general manner. From this starting point we analyse in which way these results may give us the opportunity to gain a better…

广义相对论与量子宇宙学 · 物理学 2009-11-11 J. P. Badiali

The question of what is the total entropy of the universe, how it compares to the maximal entropy of de Sitter space, and how it is distributed across the universe's components, bears considerable importance for a number of reasons. Here,…

宇宙学与河外天体物理 · 物理学 2025-09-23 Stefano Profumo , Liam Colombo-Murphy , Gabriela Huckabee , Maya Diaz Svensson , Stuti Garg , Ishan Kollipara , Alison Weber

Motivated by the notion that the mathematics of gravity can be reproduced from a statistical requirement of maximal entropy, we study the consequence of introducing an entropic source term in the Einstein-Hilbert action. For a spatially…

广义相对论与量子宇宙学 · 物理学 2024-03-20 Soumya Chakrabarti

Increasing inhomogeneity due to gravitational clumping reflects increasing gravitational entropy in a time evolving universe. Starting from an ensemble of uniformly distributed particles it is demonstrated that gravitational clustering is…

天体物理学 · 物理学 2007-05-23 Manfred P. Leubner

We examine the second law of thermodynamics in the context of horizon cosmology, in particular, whether the change of total entropy (i.e. the sum of the entropy for the apparent horizon and the entropy for the matter fields) proves to be…

广义相对论与量子宇宙学 · 物理学 2024-04-09 Sergei D. Odintsov , Tanmoy Paul , Soumitra SenGupta

We develop new modified cosmological scenarios by applying the first law of thermodynamics at the Universe horizon, utilizing a new entropic functional that generalizes the standard Boltzmann-Gibbs-Shannon entropy. In particular, starting…

广义相对论与量子宇宙学 · 物理学 2026-02-24 G. G. Luciano , E. N. Saridakis

The concept of entropy connects the number of possible configurations with the number of variables in large stochastic systems. Independent or weakly interacting variables render the number of configurations scale exponentially with the…

统计力学 · 物理学 2020-06-25 Sámuel G. Balogh , Gergely Palla , Péter Pollner , Dániel Czégel

We investigate the consequences of two assumptions for String (or M) Theory, namely that: 1) all coordinates are compact and bound by the horizon of observation, 2) the ``dynamics'' of compactification is determined by the ``second law of…

高能物理 - 理论 · 物理学 2007-05-23 Andrea Gregori

The thermodynamic definition of entropy can be extended to nonequilibrium systems based on its relation to information. To apply this definition in practice requires access to the physical system's microstates, which may be prohibitively…

统计力学 · 物理学 2020-08-21 Gil Ariel , Haim Diamant
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