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A general quantum theory encompassing Mechanics, Thermodynamics and irreversible dynamics is presented in two parts. The first part is concerned exclusively with the description of the states of any individual physical system. It is based…

Quantum Physics · Physics 2007-05-23 Gian Paolo Beretta

Thermodynamics plays an important role both in the foundations of physics and in technological applications. An operational perspective adopted in recent years is to formulate it as a quantum resource theory. At the core of this theory is…

Quantum Physics · Physics 2023-12-13 Thomas Theurer , Elia Zanoni , Carlo Maria Scandolo , Gilad Gour

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

The understanding of the underlying dynamical mechanisms which determine the macroscopic laws of heat conduction is a long standing task of non-equilibrium statistical mechanics. A better understanding of the mechanism of heat conduction…

Statistical Mechanics · Physics 2011-09-08 Giulio Casati , Carlos Mejia-Monasterio

One of the major open problems in theoretical physics is a consistent quantum gravity theory.Recent developments in thermodynamic phase transitions ofblack holes and their van der Waals-like behavior may provide an interesting quantum…

General Relativity and Quantum Cosmology · Physics 2020-06-26 Seyed Hossein Hendi , Shahram Panahiyan , Behzad Eslam Panah , Mubasher Jamil

An analytical method to compute thermodynamic properties of a given Hamiltonian system is proposed. This method combines ideas of both dynamical systems and ensemble approaches to thermodynamics, providing de facto a possible alternative to…

Statistical Mechanics · Physics 2009-10-31 Xavier Leoncini , Alberto D. Verga

The thermodynamic formalism, which was first developed for dynamical systems and then applied to discrete Markov processes, turns out to be well suited for continuous time Markov processes as well, provided the definitions are interpreted…

Statistical Mechanics · Physics 2009-11-13 Vivien Lecomte , Cecile Appert-Rolland , Frederic Van-Wijland

In this paper, we survey our recent results on the variational formulation of nonequilibrium thermodynamics for the finite dimensional case of discrete systems as well as for the infinite dimensional case of continuum systems. Starting with…

Mathematical Physics · Physics 2019-04-09 François Gay-Balmaz , Hiroaki Yoshimura

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

This work is concerned with our recently developed formalism of non-equilibrium thermodynamics. This formalism extends the classical irreversible thermodynamics which leads to classical thermodynamics and can not describe physical phenomena…

Analysis of PDEs · Mathematics 2018-09-06 Zaibao Yang , Wen-An Yong , Yi Zhu

Balance equations are derived from Enskog's kinetic equation for a two-dimensional system of hard disks using Grad's moment expansion method. This set of equations constitute an extended hydrodynamics for moderately dense bi-dimensional…

Statistical Mechanics · Physics 2015-06-25 Hideaki Ugawa , Patricio Cordero

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Jakob Yngvason

We obtain macroscopic isothermal thermodynamic transformations by space-time scalings of a microscopic Hamiltonian dynamics in contact with a heat bath. The microscopic dynamics is given by a chain of anharmonic oscillators subject to a…

Statistical Mechanics · Physics 2013-10-03 Stefano Olla

The problem of time-dependent particle transport in quantum conductors is nowadays a well established topic. In contrast, the way in which energy and heat flow in mesoscopic systems subjected to dynamical drivings is a relatively new…

Mesoscale and Nanoscale Physics · Physics 2016-11-29 Maria Florencia Ludovico , Liliana Arrachea , Michael Moskalets , David Sanchez

One of the key objectives in investigating small stochastic systems is the development of micrometer-sized engines and the understanding of their thermodynamics. However, the primary mathematical tool used for this purpose, the overdamped…

Statistical Mechanics · Physics 2025-03-31 Shakul Awasthi , Hyunggyu Park , Jae Sung Lee

Driven by fundamental thermodynamic efficiency considerations, an emerging trend in the energy and propulsion systems is that the working fluid operates at a pressure above the critical pressure. Energy transport is thus accompanied by…

Fluid Dynamics · Physics 2024-08-05 Zhouhang Li , Daniel T. Banuti , Jie Ren , Junfu Lyu , Hua Wang , Xu Chu

Conversations about weather, environment, health, cuisine, and even politics, all involve the word "temperature". It was an attempt to understand the working of heat engines that gave the temperature a clear definition. In this Note we put…

Statistical Mechanics · Physics 2025-09-23 Miroslav Grmela

Operational quantum stochastic thermodynamics is a recently proposed theory to study the thermodynamics of open systems based on the rigorous notion of a quantum stochastic process or quantum causal model. In there, a stochastic trajectory…

Quantum Physics · Physics 2020-03-04 Philipp Strasberg

We demonstrate that irreversibility arises from the principle of microscopic reversibility and the presence of memory in the time evolution of a single copy of a system driven by a protocol. We introduce microscopic reversibility by using…

Statistical Mechanics · Physics 2015-11-30 J. Ricardo Arias-Gonzalez

We define a thermostatic system to be a convex space of states together with a concave function sending each state to its entropy, which is an extended real number. This definition applies to classical thermodynamics, classical statistical…

Mathematical Physics · Physics 2023-02-13 John C. Baez , Owen Lynch , Joe Moeller
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