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The entropy per particle in most Monte-Carlo simulations is size dependent due to correlated energy fluctuations. Guided by nanothermodynamics, we find a constraint for the Ising model that enhances the fluctuations and lowers the free…

Statistical Mechanics · Physics 2009-04-28 Ralph V. Chamberlin , George H. Wolf

Turbulent flows are out-of-equilibrium because the energy supply at large scales and its dissipation by viscosity at small scales create a net transfer of energy among all scales. Here, the energy cascade is approximated by a combined…

Fluid Dynamics · Physics 2021-01-11 Amilcare Porporato , Milad Hooshyar , Andrew D Bragg , Gabriel Katul

Biological functionality of cellular aggregates is largely influenced by the activity and displacements of individual constituent cells. From a theoretical perspective this activity can be characterized by hydrodynamic transport…

Soft Condensed Matter · Physics 2025-07-31 Subhadip Chakraborti , Vasily Zaburdaev

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

The work approaches the study of the fluctuations for the thermodynamic systems in the presence of the fields. The approach is of phenomenological nature and developed in a Gaussian approximation. The study is exemplified on the cases of a…

Statistical Mechanics · Physics 2009-10-31 S. Dumitru , A. Boer

We study the behavior of the energy fluctuations in the stationary state of a uniformly heated granular gas. The equation for the one-time two-particle correlation function is derived and the hydrodynamic eigenvalues are identified.…

Statistical Mechanics · Physics 2009-09-29 M. I. Garcia de Soria , P. Maynar , E. Trizac

We consider thermodynamics of the excluded volume particles at finite temperature and chemical potential, in the low density approximation. We assume Boltzmann statistics and study the influence of the excluded volume on an ideal gas…

High Energy Physics - Phenomenology · Physics 2016-02-17 Krzysztof Redlich , Kacper Zalewski

A formula to calculate the quantum fluctuations of energy in small subsystems of a hot and relativistic gas is derived. We find an increase in fluctuations for subsystems of small sizes, but we agrees with the energy fluctuations in the…

Nuclear Theory · Physics 2021-10-08 Rajeev Singh

The presented paper is an attempt to investigate the dynamical states of an hydrodynamical isothermal turbulent self-gravitating system using some powerful tools of the classical thermodynamics. Our main assumption, inspired by the work of…

Astrophysics of Galaxies · Physics 2023-11-21 Sava Donkov , Ivan Zh. Stefanov , Todor V. Veltchev

In this work, the short-time dynamics of simple liquid is explored both analytically and numerically with the focus on the interplay between the density fluctuations in a volume surrounding a chosen particle and its random walk motion. The…

Statistical Mechanics · Physics 2019-06-26 Eugene B. Postnikov

We consider fluctuations of the time-averaged current in the one-dimensional weakly-asymmetric exclusion process on a ring. The optimal density profile which sustains a given fluctuation exhibits an instability for low enough currents,…

Statistical Mechanics · Physics 2013-10-29 Carlos P. Espigares , Pedro L. Garrido , Pablo I. Hurtado

Understanding transport processes in complex nanoscale systems, like ionic conductivities in nanofluidic devices or heat conduction in low dimensional solids, poses the problem of examining fluctuations of currents within nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 David T. Limmer , Chloe Y. Gao , Anthony R. Poggioli

Slow dynamics in glassy systems is often interpreted as due to thermally activated events between "metastable" states. This emphasizes the role of nonperturbative fluctuations, which is especially dramatic when these fluctuations destroy a…

Statistical Mechanics · Physics 2015-07-10 Charlotte Rulquin , Pierfrancesco Urbani , Giulio Biroli , Gilles Tarjus , Marco Tarzia

We develop non-equilibrium theory by using averages in time and space as a generalized way to upscale thermodynamics in non-ergodic systems. The approach offers a classical perspective on the energy dynamics in fluctuating systems. The rate…

Soft Condensed Matter · Physics 2021-09-29 James E. McClure , Steffen Berg , Ryan T. Armstrong

Dynamical random walk of classical particle in thermodynamically equilibrium fluctuating medium, - Gaussian random potential field, - is considered in the framework of explicit stochastic representation of deterministic interactions. We…

Statistical Mechanics · Physics 2013-02-05 Yu. E. Kuzovlev

This paper reports on a macroscopic fluctuation theory developed over the last ten years in collaboration with L. Bertini, A. De Sole, D. Gabrielli and C. Landim. This theory has been inspired by and tested on stochastic models of…

Statistical Mechanics · Physics 2015-05-18 Giovanni Jona-Lasinio

In this article we study the trapped motion of a molecule undergoing diffusivity fluctuations inside a harmonic potential. For the same diffusing-diffusivity process, we investigate two possible interpretations. Depending on whether…

Statistical Mechanics · Physics 2023-01-04 Yann Lanoiselée , Aleksander Stanislavsky , Davide Calebiro , Aleksander Weron

Diffusion is a central phenomenon in almost all fields of natural science revealing microscopic processes from the observation of macroscopic dynamics. Here, we consider the paradigmatic system of a single atom diffusing in a periodic…

Based on the explicit knowledge of a Hamiltonian of mean force, the classical statistical mechanics and equilibrium thermodynamics of open systems in contact with a thermal environment at arbitrary interaction strength can be formulated.…

Statistical Mechanics · Physics 2016-09-14 Peter Talkner , Peter Hänggi

We assume that markovian dynamics on a finite graph enjoys a gauge symmetry under local scalings of the probability density, derive the transformation law for the transition rates and interpret the thermodynamic force as a gauge potential.…

Statistical Mechanics · Physics 2015-05-30 Matteo Polettini