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We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

种群与进化 · 定量生物学 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

Entropy plays a key role in statistical physics of complex systems, which in general exhibit diverse aspects of emergence on different scales. However, it still remains not fully resolved how entropy varies with the coarse-graining level…

统计力学 · 物理学 2017-08-07 Segun Goh , Jungzae Choi , MooYoung Choi , Byung-Gook Yoon

The existence of the {\em typical set} is key for data compression strategies and for the emergence of robust statistical observables in macroscopic physical systems. Standard approaches derive its existence from a restricted set of…

统计力学 · 物理学 2022-02-10 Rudolf Hanel , Bernat Corominas-Murtra

The observed general time-asymmetric behavior of macroscopic systems -- embodied in the second law of thermodynamics -- arises naturally from time-symmetric microscopic laws due to the great disparity between macro and micro-scales. More…

凝聚态物理 · 物理学 2007-05-23 Joel L. Lebowitz

I discuss the statistical mechanics of gravitating systems and in particular its cosmological implications, and argue that many conventional views on this subject in the foundations of statistical mechanics embody significant confusion; I…

统计力学 · 物理学 2011-11-10 David Wallace

In this paper we show that the existence of a primarily discrete space-time may be a fruitful assumption from which we may develop a new approach of statistical thermodynamics in pre-relativistic conditions. The discreetness of space-time…

量子物理 · 物理学 2010-05-17 J. P. Badiali

Living systems maintain or increase local order by working against the Second Law of Thermodynamics. Thermodynamic consistency is restored as they dissipate heat, thereby increasing the net entropy of their environment. Recently introduced…

生物物理 · 物理学 2021-05-03 Dominic J. Skinner , Jörn Dunkel

In textbooks on statistical mechanics, one finds often arguments based on classical mechanics, phase space and ergodicity in order to justify the second law of thermodynamics. However, the basic equations of motion of classical mechanics…

统计力学 · 物理学 2014-08-28 Barbara Drossel

Thermodynamics makes definite predictions about the thermal behavior of macroscopic systems in and out of equilibrium. Statistical mechanics aims to derive this behavior from the dynamics and statistics of the atoms and molecules making up…

统计力学 · 物理学 2018-03-28 Sheldon Goldstein , David A. Huse , Joel L. Lebowitz , Pablo Sartori

Based on quantum statistical mechanics and microscopic quantum dynamics, we prove Planck's and Kelvin's principles for macroscopic systems in a general and realistic setting. We consider a hybrid quantum system that consists of the…

统计力学 · 物理学 2016-05-04 Hal Tasaki

In statistical mechanics, measuring the number of available states and their probabilities, and thus the system's entropy, enables the prediction of the macroscopic properties of a physical system at equilibrium. This predictive capacity…

统计力学 · 物理学 2023-12-14 Mathias Casiulis , Stefano Martiniani

While fields like Artificial Life have made huge strides in quantifying the mechanisms that distinguish living systems from non-living ones, particular mechanisms remain difficult to reproduce in silico. Known as open-endedness, we've been…

生物物理 · 物理学 2024-07-18 Alyssa M Adams , Eliott Jacopin , Praful Gagrani , Olaf Witkowski

Stochastic chains represent a wide and key variety of phenomena in many branches of science within the context of Information Theory and Thermodynamics. They are typically approached by a sequence of independent events or by a memoryless…

统计力学 · 物理学 2017-03-06 J. Ricardo Arias-Gonzalez

Living systems are thermodynamically open but closed in their organization. In other words, even though their material components turn over constantly, a material-independent property persists, which we call organization. Moreover,…

定量方法 · 定量生物学 2025-03-07 Pedro Márquez-Zacarías , Andrés Ortiz-Muñoz , Emma P. Bingham

Herein we consider various concepts of entropy as measures of the complexity of phenomena and in so doing encounter a fundamental problem in physics that affects how we understand the nature of reality. In essence the difficulty has to do…

统计力学 · 物理学 2007-05-23 Paolo Allegrini , Martina Giuntoli , Paolo Grigolini , Bruce J. West

We outline a phenomenological theory of evolution and origin of life by combining the formalism of classical thermodynamics with a statistical description of learning. The maximum entropy principle constrained by the requirement for…

种群与进化 · 定量生物学 2022-10-12 Vitaly Vanchurin , Yuri I. Wolf , Eugene V. Koonin , Mikhail I. Katsnelson

The reasons for introducing the concept of the entrostat in statistical physics are examined. The introduction of the concept of the entrostat has allowed to show the possibility of self-organization in open systems within the understanding…

综合物理 · 物理学 2011-03-08 Viktor I. Shapovalov

During a spontaneous change, a macroscopic physical system will evolve towards a macro-state with more realizations. This observation is at the basis of the Statistical Mechanical version of the Second Law of Thermodynamics, and it provides…

统计力学 · 物理学 2020-04-22 Mengjie Zu , Arunkumar Bupathy , Daan Frenkel , Srikanth Sastry

The problem of the insensitivity of the macroscopic behavior of any thermodynamical system to partitioning generates a bias between the reproducibility of its macroscopic behavior viewed as the simplest form of causality and its long-term…

综合物理 · 物理学 2007-05-23 Maria K. Koleva

Our previous works have shown the statistical mechanics of self-gravitating system. In this paper, we will show its thermodynamics and compare our results with observations and simulations. We propose that our statistical mechanics can be…

宇宙学与河外天体物理 · 物理学 2011-12-30 Dong-Biao Kang