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In the last few decades, some hypotheses for entropy production (EP) principles have been forwarded as possible candidates for organizational principles in non-linear non- equilibrium systems. Two important hypotheses will be studied: the…

化学物理 · 物理学 2007-05-23 Stijn Bruers

The maximum entropy principle (MEP) apparently allows us to derive, or justify, fundamental results of equilibrium statistical mechanics. Because of this, a school of thought considers the MEP as a powerful and elegant way to make…

统计力学 · 物理学 2015-12-09 Gennaro Auletta , Lamberto Rondoni , Angelo Vulpiani

The maximum entropy principle (MEP) is a method for obtaining the most likely distribution functions of observables from statistical systems, by maximizing entropy under constraints. The MEP has found hundreds of applications in ergodic and…

经典物理 · 物理学 2016-10-03 Rudolf Hanel , Stefan Thurner , Murray Gell-Mann

Research on the birth and evolution of life are reviewed with reference to the maximum entropy production principle (MEPP). It has been shown that this principle is essential for consistent understanding of the birth and evolution of life.…

生物物理 · 物理学 2025-04-22 Yasuji Sawada , Yasukazu Daigaku , Kenji Toma

In this article a classification of some proposed macroscopic entropy production (MEP) principles is given. With the help of simple electrical network models, at least six interesting and most used principles are distinguished: the least…

统计力学 · 物理学 2007-05-23 Stijn Bruers

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

机器学习 · 统计学 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

This study examines a new formulation of non-equilibrium thermodynamics, which gives a conditional derivation of the ``maximum entropy production'' (MEP) principle for flow and/or chemical reaction systems at steady state. The analysis uses…

种群与进化 · 定量生物学 2009-08-25 Robert K. Niven

A theory to predict the steady state position of a dissipative, flow-controlled system, as defined by a control volume, is developed based on the Maximum Entropy (MaxEnt) principle of Jaynes, involving minimisation of a generalised free…

经典物理 · 物理学 2015-05-13 Robert K. Niven

The asymptotic convergence of probability density function (pdf) and convergence of differential entropy are examined for the non-stationary processes that follow the maximum entropy principle (MaxEnt) and maximum entropy production…

信息论 · 计算机科学 2014-01-14 Alexander L. Fradkov , Dmitry S. Shalymov

Preserving biodiversity and ecosystem stability is a challenge that can be pursued through modern statistical mechanics modeling. Here we introduce a variational maximum entropy-based algorithm to evaluate the entropy in a minimal ecosystem…

生物物理 · 物理学 2018-10-17 Mattia Miotto , Lorenzo Monacelli

This paper establishes the minimum entropy principle (MEP) for the relativistic Euler equations with a broad class of equations of state (EOSs) and addresses the challenge of preserving the local version of the discovered MEP in high-order…

数值分析 · 数学 2025-03-18 Shumo Cui , Kailiang Wu , Linfeng Xu

Nonequilibrium processes break time-reversal symmetry and generate entropy. Living systems are driven out-of-equilibrium at the microscopic level of molecular motors that exploit chemical potential gradients to transduce free energy to…

统计力学 · 物理学 2022-12-06 Eden Nitzan , Aishani Ghosal , Gili Bisker

By suitable reformulations, we review the mathematical frameworks of six different approaches to the description of non-equilibrium dynamics with the purpose to set up a unified formulation of the Maximum Entropy Production (MEP) principle…

统计力学 · 物理学 2013-06-27 Gian Paolo Beretta

Many have speculated whether nonequilibrium systems obey principles of maximum or minimum entropy production. In this work, we use stochastic thermodynamics to derive the condition for the minimum entropy production state (MEPS) for…

统计力学 · 物理学 2025-07-25 Kyle J. Ray , Alexander B. Boyd

The free energy principle (FEP) is a mathematical framework that describes how biological systems self-organize and survive in their environment. This principle provides insights on multiple scales, from high-level behavioral and cognitive…

神经元与认知 · 定量生物学 2021-03-24 David Kappel , Christian Tetzlaff

Entropy production rate (EPR) is often effective to describe how a structure is self-organized in a nonequilibrium thermodynamic system. The "minimum EPR principle" is widely applicable to characterizing self-organized structures, but is…

等离子体物理 · 物理学 2015-11-05 Yohei Kawazura , Zensho Yoshida

We demonstrate and characterize a first-principles approach to modeling the mass action dynamics of metabolism. Starting from a basic definition of entropy expressed as a multinomial probability density using Boltzmann probabilities with…

化学物理 · 物理学 2024-07-10 William R. Cannon , Samuel Britton , Mikahl Banwarth-Kuhn , Mark Alber

The Earth, like other planets with a relatively thick atmosphere, is not locally in radiative equilibrium and the transport of energy by the geophysical fluids (atmosphere and ocean) plays a fundamental role in determining its climate.…

大气与海洋物理 · 物理学 2015-05-27 Corentin Herbert , Didier Paillard , Masa Kageyama , Berengere Dubrulle

Self-organization is a process where order of a whole system arises out of local interactions between small components of a system. Emergy, spelled with an 'm', defined as the amount of (solar) energy used to make a product or service, is…

形式语言与自动机理论 · 计算机科学 2019-06-26 Chams Lahlou , Laurent Truffet

Every production-recycling iteration accumulates an inevitable proportion of its matter-energy in the environment, lest the production process itself would be a system in perpetual motion, violating the second law of Thermodynamics. Such…

物理与社会 · 物理学 2013-11-06 Henrique N. Sá Earp , Ademar R. Romeiro
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