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In textbooks on statistical mechanics, one finds often arguments based on classical mechanics, phase space and ergodicity in order to justify the second law of thermodynamics. However, the basic equations of motion of classical mechanics…

Statistical Mechanics · Physics 2014-08-28 Barbara Drossel

Relating thermodynamic and kinetic properties is a conceptual challenge with many practical benefits. Here, based on first principles, we derive a rigorous inequality relating the entropy and the dynamic propagator of particle…

Statistical Mechanics · Physics 2024-07-11 Benjamin Sorkin , Haim Diamant , Gil Ariel

We develop a general formalism for introducing stochastic fluctuations around thermodynamic equilibrium which takes into account, for the first time, recent developments on the causality and stability properties of relativistic hydrodynamic…

Nuclear Theory · Physics 2023-06-16 Nicki Mullins , Mauricio Hippert , Jorge Noronha

The balance equations for thermodynamic quantities are derived from the nonlocal quantum kinetic equation. The nonlocal collisions lead to molecular contributions to the observables and currents. The corresponding correlated part of the…

Statistical Mechanics · Physics 2018-06-19 Klaus Morawetz

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

Statistical Mechanics · Physics 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

The problem of formulating thermodynamics in a relativistic scenario remains unresolved, although many proposals exist in the literature. The challenge arises due to the intrinsic dynamic structure of spacetime as established by the general…

Quantum Physics · Physics 2024-07-23 Yuri J. Alvim , Lucas C. Céleri

Landauer's erasure principle exposes an intrinsic relation between thermodynamics and information theory: the erasure of information stored in a system, S, requires an amount of work proportional to the entropy of that system. This entropy,…

Quantum Physics · Physics 2011-06-28 Lídia del Rio , Johan Aberg , Renato Renner , Oscar Dahlsten , Vlatko Vedral

We distinguish a mechanical representation of the world in terms of point masses with positions and momenta and the chemical representation of the world in terms of populations of different individuals, each with intrinsic stochasticity,…

Statistical Mechanics · Physics 2019-05-07 Hong Qian

Traditional thermodynamics governs the behaviour of large systems that evolve between states of thermal equilibrium. For these large systems, the mean values of thermodynamic quantities (such as work, heat and entropy) provide a good…

Statistical Mechanics · Physics 2019-05-01 Andrew J. P. Garner

It is shown that for an equilibrium state of time-symmetric system of non-relativistic strings the energy per unit of information transfer (storage, processing) obeys the Bekenstein conjecture. The result is based on a theorem due to…

Quantum Physics · Physics 2007-05-23 A. Granik

We study the dynamics of quantum information and of quantum correlations after a quantum quench, in transverse field Ising chains subject to generic linear dissipation. As we show, in the hydrodynamic limit of long times, large system…

Statistical Mechanics · Physics 2022-02-09 Vincenzo Alba , Federico Carollo

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

This paper investigates generalized thermodynamic relationships in physical systems where relevant macroscopic variables are determined by the exponential Kolmogorov-Nagumo average. We show that while the thermodynamic entropy of such…

Statistical Mechanics · Physics 2025-01-23 Pablo A. Morales , Jan Korbel , Fernando E. Rosas

It is well known that the Solar System is presently moving through a partially ionized local interstellar medium. This gives rise to a counter-flow situation requiring a consistent description of behaviour of the two fluids -- ions and…

Astrophysics · Physics 2009-11-10 H. J. Fahr , Maciej Bzowski

Understanding the connections between information and thermodynamics has been among the most visible applications of stochastic thermodynamics. While recent theoretical advances have established that the second law of thermodynamics sets…

Statistical Mechanics · Physics 2021-10-22 Joseph N. E. Lucero , Jannik Ehrich , John Bechhoefer , David A. Sivak

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…

Statistical Mechanics · Physics 2007-05-23 V. V. Ryazanov , S. G. Shpyrko

We establish a stochastic thermodynamics for a Fermionic level driven by a time-dependent force and interacting with initially thermalized levels playing the role of a reservoir. The driving induces consecutive avoided crossings between…

Statistical Mechanics · Physics 2016-06-22 Felipe Barra , Massimiliano Esposito

This paper provides a perspective on applying the concepts of information thermodynamics, developed recently in non-equilibrium statistical physics, to problems in theoretical neuroscience. Historically, information and energy in…

Neurons and Cognition · Quantitative Biology 2024-09-27 Jan Karbowski

We find the hydrodynamic equations of a system of particles constrained to be in the lowest Landau level. We interpret the hydrodynamic theory as a Hamiltonian system with the Poisson brackets between the hydrodynamic variables determined…

Statistical Mechanics · Physics 2015-04-27 Michael Geracie , Dam Thanh Son

We consider a microscopic collision model, i.e., a quantum system interacts with a hierarchical environment consisting of an auxiliary system and a reservoir. We show how the non-Markovian character of the system is influenced by the…

Quantum Physics · Physics 2020-10-27 Yong-Wei Li , Lei Li
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