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We propose concept of equation of state (EoS) effect structure in form of diagrams and rules. This concept helps justifying EoS status of an empirical relation. We apply the concept to closed system of consumers and we are able to formulate…

Physics and Society · Physics 2022-01-21 Burin Gumjudpai

We consider the entropy production of a strongly coupled bipartite system. The total entropy production can be partitioned into various components, which we use to define local versions of the Second Law that are valid without the usual…

Statistical Mechanics · Physics 2022-09-29 Gavin E. Crooks , Susanne E. Still

The fact that a temperature and an entropy may be associated with horizons in semi-classical general relativity has led many to suspect that spacetime has microstructure. If this is indeed the case then its description via Riemannian…

Statistical Mechanics · Physics 2011-10-28 Cenalo Vaz

Statistical thermodynamics of small systems shows dramatic differences from normal systems. Parallel to the recently presented steady-state thermodynamic formalism for master equation and Fokker-Planck equation, we show that a…

Mathematical Physics · Physics 2020-04-01 Liangrong Peng , Hong Qian , Liu Hong

The second law of thermodynamics states that entropy increases (or does not change) by time in an isolated system. As microscopic physical laws are reversible, the origin of irreversibility is not straightforward. Although the outcome of a…

Statistical Mechanics · Physics 2013-02-19 Balint Szabo

We show that models of opinion formation and dissemination in a community of individuals can be framed within stochastic thermodynamics from which we can build a nonequilibrium thermodynamics of opinion dynamics. This is accomplished by…

Statistical Mechanics · Physics 2023-07-12 Tânia Tomé , Carlos E. Fiore , Mário J. de Oliveira

A universal theorem of sensory information, analogous to the second law of thermodynamics, is derived. Beginning from a minimal description of a sensory neuron, a state-space representation of firing rate emerges naturally from Shannon's…

Neurons and Cognition · Quantitative Biology 2025-11-17 Willy Wong

We have considered a model of a small finite system with internal particles and surface degrees of freedom. All the main statistical distributions were explicitly obtained, on a pre thermodynamic limit basis. The concept of temperature or…

Statistical Mechanics · Physics 2025-08-11 D. M. Naplekov , V. V. Yanovsky

Thermodynamics is a science concerning the state of a system, whether it is stable, metastable, or unstable. The combined law of thermodynamics derived by Gibbs about 150 years ago laid the foundation of thermodynamics. In Gibbs combined…

Statistical Mechanics · Physics 2023-08-03 Zi-Kui Liu

A classical and quantum mechanical generalized second law of thermodynamics in cosmology implies constraints on the effective equation of state of the universe in the form of energy conditions, obeyed by many known cosmological solutions,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ram Brustein

Internal energy, enthalpy and entropy are the key quantities to study thermodynamic properties of the moist atmosphere, because they correspond to the First (internal energy and enthalpy) and Second (entropy) Laws of thermodynamics. The aim…

Atmospheric and Oceanic Physics · Physics 2015-10-13 Pascal Marquet , Jean-François Geleyn

From a viewpoint of stochastic thermodynamics, we derive equations that describe the collective dynamics near the order-disorder transition in the globally coupled XY model and near the synchronization-desynchronization transition in the…

Statistical Mechanics · Physics 2015-05-20 Shin-ichi Sasa

Using a game theory approach and a new extremal problem, Gibbs formula is proved in a most simple and general way for the classical mechanics case. A corresponding conjecture on the asymptotics of the classical entropy is formulated. For…

General Physics · Physics 2011-05-25 Lev Sakhnovich

Thermodynamics and information have intricate interrelations. Often thermodynamics is considered to be the logical premise to justify that information is physical - through Landauer's principle -, thereby also linking information and…

We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all components, we derive a closed system of…

Fluid Dynamics · Physics 2016-04-01 Dieter Bothe , Wolfgang Dreyer

It can be fruitful to view two-component physical systems of attractive monomers, A and B, ``chemically'' in terms of a reaction A + B <-> C, where C = AB is an associated pair or complex. We show how to construct free energies in the…

Chemical Physics · Physics 2009-10-31 Michael E. Fisher , Daniel M. Zuckerman

We present a conjugate analysis of two different dark energy models investigating both their agreement with recent data and their thermodynamical properties. The successful match with the data allows to both constrain the model parameters…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-11 Vincenzo F. Cardone , Ninfa Radicella , Antonio Troisi

Within Tsallis statistics, a picture is elaborated to address self--similar time series as a thermodynamic system. Thermodynamic--type characteristics relevant to temperature, pressure, entropy, internal and free energies are introduced and…

Statistical Mechanics · Physics 2007-05-23 A. I. Olemskoi

Temperature is an outsider in the laws of motion given by Newton and Einstein and this oversight is the source of the predictions of time-reversal-invariance made by these two great systems of motion. By taking into consideration Planck's…

General Physics · Physics 2012-06-15 Randy Wayne

Assuming time-scale separation, a simple and unified theory of thermodynamics and stochastic thermodynamics is constructed for small classical systems strongly interacting with its environment in a controllable fashion. The total…

Statistical Mechanics · Physics 2022-08-16 Mingnan Ding , Zhanchun Tu , Xiangjun Xing
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