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The established thermodynamic formalism of chaotic dynamics, valid at statistical equilibrium, is here generalized to systems out of equilibrium, that have yet to relax to a steady state. A relation between information, escape rate, and the…

Chaotic Dynamics · Physics 2024-08-28 Domenico Lippolis

The paper develops the idea that the dynamics of both classical and quantum processes is time reversible. It is shown how this classical analogy allows one to define the measure for the path integral in quantum mechanics.

High Energy Physics - Phenomenology · Physics 2007-05-23 I. D. Mandzhavidze

The paper present one of attempts to apply the thermodynamics laws to economics. Introducing common thermodynamic parameters and considering world economics as a one macrosystem, authors demonstrate the possible consequences of entropy…

Physics and Society · Physics 2008-07-03 A. M. Tishin , O. B. Baklitskaya

Formalising the confrontation of opinions (models) to observations (data) is the task of Inferential Statistics. Information Theory provides us with a basic functional, the relative entropy (or Kullback-Leibler divergence), an asymmetrical…

Information Theory · Computer Science 2015-03-13 François Bavaud

We review and investigate the general theory of thermodynamics of computation, and derive the fundamental inequalities that set the lower bounds of the work requirement and the heat emission during a computation. These inequalities…

Statistical Mechanics · Physics 2015-06-17 Takahiro Sagawa

We revisit and extend the physical interpretation recently given to a certain identity between large--deviations rate--functions (as well as applications of this identity to Information Theory), as an instance of thermal equilibrium between…

Information Theory · Computer Science 2009-08-26 Neri Merhav

We find necessary and sufficient conditions to determine the inter-convertibility of quantum systems under time-translation covariant evolution, and use it to solve several problems in quantum thermodynamics both in the single-shot and…

Quantum Physics · Physics 2022-11-29 Gilad Gour

In stochastic thermodynamics, the entropy production of a thermodynamic system is defined by the irreversibility measured by the logarithm of the ratio of the path probabilities in the forward and reverse processes. We derive the relation…

Statistical Mechanics · Physics 2018-03-14 Hyun-Myung Chun , Jae Dong Noh

It is shown that the irreversible behavior of classical systems of interacting particles is a common property for both few-body and many-body systems. It is due to the delay in the interactions between the particles. PACS: 45.50.Jf Few- and…

Statistical Mechanics · Physics 2017-12-08 A. Yu. Zakharov

Although its practical efficiency is unquestionable, the thermodynamic tool presents a slight inconsistency from the theoretical point of view. After exposing arguments, which explain this opinion, a suggestion is put forward to solve the…

General Physics · Physics 2007-05-23 Volodymyr Krasnoholovets , Jean-Louis Tane

Multiscale thermodynamics is a theory of relations among levels of investigation of complex systems. It includes the classical equilibrium thermodynamics as a special case but it is applicable to both static and time evolving processes in…

Statistical Mechanics · Physics 2021-02-24 Miroslav Grmela

The standard relations between information theory and thermodynamics are challenged. The Szilard engine is revisited and the bound proposed by Landauer is replaced by a different one which includes errors in information processing. Instead…

Quantum Physics · Physics 2014-02-12 Robert Alicki

The unification of relativity and thermodynamics has been a subject of considerable debate over the last 100 years. The reasons for this are twofold: (i) Thermodynamic variables are nonlocal quantities and, thus, single out a preferred…

Statistical Mechanics · Physics 2009-12-18 Jörn Dunkel , Peter Hänggi , Stefan Hilbert

We present the fundamentals of geometrothermodynamics, an approach to study the properties of thermodynamic systems in terms of differential geometric concepts. It is based, on the one hand, upon the well-known contact structure of the…

Chemical Physics · Physics 2009-11-11 Hernando Quevedo

The work concentrates on relations, which are general and model independent in chaotic system, between time averages of a few (typically {\it very few}) observables. Equilibrium thermodynamics provides a guide and here is attempted to argue…

Chaotic Dynamics · Physics 2025-06-12 Giovanni Gallavotti

'Relativistic thermodynamics' should be understood not as a generalization of a non-relativistic theory but as an application of a general thermodynamic framework, neutral as to spacetime setting and allowing arbitrary conserved quantities,…

Statistical Mechanics · Physics 2025-08-06 David Wallace

Micro-reversibility, that is, the time reversal symmetry exhibited by microscopic dynamics, plays a central role in thermodynamics and statistical mechanics. It is used to prove fundamental results such as Onsager reciprocal relations or…

Statistical Mechanics · Physics 2019-08-13 Jannik Ehrich , Massimiliano Esposito , Felipe Barra , Juan M. R. Parrondo

In his Comment [1], Philip Strasberg (PS) argues from the analysis of different examples that the framework we have presented in [2] does not recover known results of macroscopic textbook thermodynamics. Here, we show that such apparent…

Quantum Physics · Physics 2023-09-18 Cyril Elouard , Camille Lombard Latune

Thermoelectricity is traditionally explained via Onsager's irreversible, flux-force framework. The coupled flows of heat and electric charge are modelled as steady-state flows, driven by the thermodynamic forces defined in terms of the…

Statistical Mechanics · Physics 2022-01-03 Jasleen Kaur , Ramandeep S. Johal

Weakly nonlocal thermodynamic theories are critically revisited. A relocalized, irreversible thermodynamic theory of nonlocal phenomena is given, based on a modified form of the entropy current and new kind of internal variables, the so…

Materials Science · Physics 2009-11-07 Peter Van