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Some general considerations on the notion of entropy in physics are presented. An attempt is made to clarify the question of the differentiation between physical entropy (the Clausius-Boltzmann one) and quantities called entropies…

统计力学 · 物理学 2007-05-23 Roberto Luzzi , Áurea R. Vasconcellos , J. Galvão Ramos

The possible distinction between inanimate and living matter has been of interest to humanity since thousands of years. Clearly, such a rich question can not be answered in a single manner, and a plethora of approaches naturally do exist.…

统计力学 · 物理学 2014-03-24 Constantino Tsallis

In physics, I noticed subjects not explained by formulas were often not studied, like how uncontrolled growth systems changed form. Weather, businesses, societies, environments, communities, cultures, groups, relationships, lives, and…

物理与社会 · 物理学 2023-05-18 Jessie Henshaw

I argue that if a special science satisfies certain key assumptions that are familiar from physicalist accounts of the special sciences and from physics, then its causal regularities have an associated notion of entropy, and that this…

物理学史与哲学 · 物理学 2026-05-01 Balazs Gyenis

Thermodynamics have been applied to astronomy, biology, psychology, some social systems and so on. But, various evolutions from astronomy to biology and social systems cannot be only increase of entropy. When fluctuations are magnified due…

综合物理 · 物理学 2009-10-06 Yi-Fang Chang

In a complex system, the individual components are neither so tightly coupled or correlated that they can all be treated as a single unit, nor so uncorrelated that they can be approximated as independent entities. Instead, patterns of…

种群与进化 · 定量生物学 2015-09-15 Blake C. Stacey

We study open-ended evolution by focusing on computational and information-processing dynamics underlying major evolutionary transitions. In doing so, we consider biological organisms as hierarchical dynamical systems that generate…

Characterization of complexity within the sociological interpretation has resulted in a large number of notions, which are relevant in different situations. From the statistical mechanics point of view, these notions resemble entropy. In a…

适应与自组织系统 · 物理学 2021-05-12 Marcos E. Gaudiano , Jorge A. Revelli

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic description characterizing the behaviour of a…

统计力学 · 物理学 2007-05-23 V. V. Ryazanov , S. G. Shpyrko

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

种群与进化 · 定量生物学 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

Economic growth and the growth of human population in the past 2,000,000 years are extensively examined. Data are found to be in a clear contradiction of the currently accepted explanations of the mechanism of growth, which revolve around…

经济学 · 定量金融 2017-10-06 Ron W. Nielsen

We formulate thermodynamics of economic systems in terms of an arbitrary probability distribution for a conserved economic quantity. As in statistical physics, thermodynamic macroeconomic variables emerge as the mean value of microeconomic…

统计金融 · 定量金融 2011-05-26 H. Quevedo , M. N. Quevedo

The 2nd law of thermodynamics yields an irreversible increase in entropy until thermal equilibrium is achieved. This irreversible increase is often assumed to require large and complex systems to emerge from the reversible microscopic laws…

统计力学 · 物理学 2023-11-21 Ralph V. Chamberlin

The theoretical and numerical understanding of the key concept of topological entropy is an important problem in dynamical systems. Most studies have been carried out on maps (discrete-time systems). We analyse a scenario of global changes…

动力系统 · 数学 2025-04-08 Daniel Wilczak , Sergio Serrano , Roberto Barrio

We review the behaviour of the Gibbs' and conditional entropies in deterministic and stochastic systems and continue to a formulation appropriate for a stochastically perturbed system with delayed dynamics. The underlying question driving…

数学物理 · 物理学 2024-06-24 Michael C. Mackey , Marta Tyran-Kaminska

We show that the conservation and the non-additivity of the information, together with the additivity of the entropy make the entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the…

量子物理 · 物理学 2009-11-13 Qi-Ren Zhang

Based on laboratory based growth of plant-like structures from inorganic materials, we present new theory for the emergence of plant structure at a range of scales dictated by levels of ionization (charge density), which can be traced…

综合物理 · 物理学 2017-01-24 Philip Turner , Laurent Nottale

We quantify the amount of regulation required to control growth in living cells by a Maximum Entropy approach to the space of underlying metabolic states described by genome-scale models. Results obtained for E. coli and human cells are…

分子网络 · 定量生物学 2017-07-19 Daniele De Martino , Fabrizio Capuani , Andrea De Martino

Predictive statistical mechanics is a form of inference from available data, without additional assumptions, for predicting reproducible phenomena. By applying it to systems with Hamiltonian dynamics, a problem of predicting the macroscopic…

统计力学 · 物理学 2015-09-22 Domagoj Kuic

We investigate the thermodynamics as well as the population dynamics of ecosystems based on a stochastic approach in which the number of individuals of the several species of the ecosystem are treated as stochastic variables. The several…

统计力学 · 物理学 2024-05-31 Tânia Tomè , Mário J. de Oliveira