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Thermodynamics of nanoscale devices is an active area of research. Despite their noisy surrounding they often produce mechanical work (e.g. micro-heat engines), display rectified Brownian motion (e.g. molecular motors). This invokes…

Statistical Mechanics · Physics 2018-12-05 Arnab Saha , Rahul Marathe , P. S. Pal , A. M. Jayannavar

The paper deals with the mechanism of particle creation in the framework of irreversible thermodynamics. The second order non-equilibrium thermodynamical prescription of Israel and Stewart has been presented with particle creation rate,…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Subenoy Chakraborty , Subhajit Saha

When coupling thermal baths at different temperatures, negative differential thermal conductivity is typically attributed to nonlinear interactions in the connecting medium. In this work, we demonstrate that such an effect can arise purely…

Statistical Mechanics · Physics 2026-05-13 Simon Krekels , Christian Maes , Ion Santra , Ruoxun Zhai

We consider a situation where an $N$-level system (NLS) is coupled successively to two heat baths with different temperatures without being necessarily thermalized and approaches a steady state. For this situation we apply a general…

Statistical Mechanics · Physics 2021-08-09 Heinz-Jürgen Schmidt , Jochen Gemmer

The stochastic differential equations for a model of dissipative particle dynamics, with both total energy and total momentum conservation at every time-step, are presented. The algorithm satisfies detailed balance as well as the…

Statistical Mechanics · Physics 2007-05-23 Allan D. Mackie , Josep Bonet Avalos

We show that systems driven by an external force and described by Nose-Hoover dynamics allow for a consistent nonequilibrium thermodynamics description when the thermostatted variable is initially assumed in a state of canonical…

Statistical Mechanics · Physics 2011-08-11 Massimiliano Esposito , Takaaki Monnai

The understanding of memory effects arising from the interaction between system and environment is a key for engineering quantum thermodynamic devices beyond the standard Markovian limit. We study the performance of measurement-based…

Quantum Physics · Physics 2020-01-14 Obinna Abah , Mauro Paternostro

Memory effects arise in many complex systems, from protein folding, to the spreading of epidemics and financial decisions. While so-called non-Markovian dynamics is common in larger systems with interacting components, observations in…

Systems out of equilibrium, in stationary as well as in nonstationary regimes, display a linear response to energy impulses simply expressed as the sum of two specific temporal correlation functions. There is a natural interpretation of…

Statistical Mechanics · Physics 2010-06-16 Marco Baiesi , Christian Maes , Bram Wynants

We propose thermodynamically consistent models for viscoelastic fluids with a stress diffusion term. In particular, we derive variants of compressible/incompressible Maxwell/Oldroyd-B models with a stress diffusion term in the evolution…

Fluid Dynamics · Physics 2018-03-14 Josef Málek , Vít Průša , Tomáš Skřivan , Endre Süli

We analyze the dynamics of the entanglement in two independent non-Markovian channels. In particular, we focus on the entanglement dynamics as a function of the initial states and the channel parameters like the temperature and the ratio…

Quantum Physics · Physics 2009-11-02 Wei Cui , Zairong Xi , Yu Pan

The exact non-Markovian dynamics of a microcavity strongly coupled to a general reservoir at arbitrary temperature is studied. With the exact master equation for the reduced density operator of the cavity system, we analytically solve the…

Quantum Physics · Physics 2010-07-30 Heng-Na Xiong , Wei-Min Zhang , Xiaoguang Wang , Meng-Hsiu Wu

The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions…

Analysis of PDEs · Mathematics 2025-02-05 Tomáš Roubíček

Stochastic thermodynamics is formulated under the assumption of perfect knowledge of all thermodynamic parameters. However, in any real-world experiment, there is non-zero uncertainty about the precise value of temperatures, chemical…

Statistical Mechanics · Physics 2024-01-11 Jan Korbel , David H. Wolpert

Using Brownian motion in periodic potentials $V(x)$ tilted by a force $f$, we provide physical insight into the thermodynamic uncertainty relation, a recently conjectured principle for statistical errors and irreversible heat dissipation in…

Statistical Mechanics · Physics 2017-08-09 Changbong Hyeon , Wonseok Hwang

We derive the generalized Markovian description for the non-equilibrium Brownian motion of a heated particle in a simple solvent with a temperature-dependent viscosity. Our analytical results for the generalized fluctuation-dissipation and…

Statistical Mechanics · Physics 2015-05-18 Daniel Rings , Romy Schachoff , Markus Selmke , Frank Cichos , Klaus Kroy

Many kinds of active particles, such as bacteria or active colloids, move in a thermostatted fluid by means of self-propulsion. Energy injected by such a non-equilibrium force is eventually dissipated as heat in the thermostat. Since…

Statistical Mechanics · Physics 2017-07-17 Andrea Puglisi , Umberto Marini Bettolo Marconi

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · Physics 2008-02-03 Z. Hens , X. de Hemptinne

We investigate the impact of intermittent energy injections on a Brownian particle, modeled as stochastic renewals of its kinetic energy to a fixed value. Between renewals, the particle follows standard underdamped Langevin dynamics. For…

Statistical Mechanics · Physics 2025-06-11 Ion Santra , Kristian Stølevik Olsen

We derive the entropy production for transport of multi-phase fluids in a non-deformable, porous medium exposed to differences in pressure, temperature, and chemical potentials. Thermodynamic extensive variables on the macro-scale are…

Fluid Dynamics · Physics 2020-12-03 Signe Kjelstrup , Dick Bedeaux , Alex Hansen , Bjørn Hafskjold , Olav Galteland