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The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. Fluctuation theorems provide fundamental…

Statistical Mechanics · Physics 2017-11-16 Robert Marsland , Jeremy England

Periodic driving is used to operate machines that go from standard macroscopic engines to small non-equilibrium micro-sized systems. Two classes of such systems are small heat engines driven by periodic temperature variations and molecular…

Statistical Mechanics · Physics 2017-11-16 Somrita Ray , Andre C. Barato

Fluctuations arising in nonlinear dissipative systems (diode, transistors, chemical reaction, etc.) subject to an external drive (voltage, chemical potential, etc.) are well known to elude any simple characterization such as the…

Statistical Mechanics · Physics 2023-07-10 Jean-Charles Delvenne , Léopold Van Brandt

Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually…

Statistical Mechanics · Physics 2015-05-29 Aki Kutvonen , Tapio Ala-Nissilä , Jukka P. Pekola

We consider a reversal of the magnetic moment of a nano-magnet by the fluctuating spin-torque induced by a non-equilibrium current of electron spins. This is an example of the problem of the escape of a particle from a metastable state…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Yasuhiro Utsumi , Tomohiro Taniguchi

We extend the definition of non-adiabatic entropy production given for Markovian systems in [M. Esposito and C. Van den Broeck, Phys. Rev. Lett. 104 090601, (2010)], to arbitrary non-Markov ergodic dynamics. We also introduce a notion of…

Statistical Mechanics · Physics 2012-09-14 Reinaldo García-García

We generalize the link between fluctuation theorems and thermodynamic uncertainty relations by deriving a bound on the variance of fluxes that satisfy an isometric fluctuation theorem. The resulting bound, which depends on the system's…

Statistical Mechanics · Physics 2020-02-11 Hadrien Vroylandt , Karel Proesmans , Todd R. Gingrich

Based on a generalized local Kolmogorov-Hill equation expressing the evolution of kinetic energy integrated over spheres of size $\ell$ in the inertial range of fluid turbulence, we examine a possible definition of entropy and entropy…

Fluid Dynamics · Physics 2024-04-22 H. Yao , T. A. Zaki , C. Meneveau

Insight into the problem of two-dimensional turbulence can be obtained by an analogy with a heat conduction network. It allows the identification of an entropy function associated to the enstrophy dissipation and that fluctuates around a…

Statistical Mechanics · Physics 2007-05-23 Marco Baiesi , Christian Maes

The experimental verification of the fluctuation theorem by Wang et al. is explained in terms of a simple Langevin dynamics. This implies that the entropy consuming trajectories found by Wang et al. are fluctuations generated by a random…

Statistical Mechanics · Physics 2007-05-23 S. Tasaki , I. Terasaki , T. Monnai

One of the major goals of quantum thermodynamics is the characterization of irreversibility and its consequences in quantum processes. Here, we discuss how entropy production provides a quantification of the irreversibility in open quantum…

Fluctuation theorems play a central role in nonequilibrium physics and stochastic thermodynamics. Here we derive an integral fluctuation theorem for the dissipated heat in systems governed by an underdamped Langevin dynamics. We show that…

Statistical Mechanics · Physics 2016-02-17 M. L. Rosinberg , G. Tarjus , T. Munakata

We illustrate the mathematical theory of entropy production in repeated quantum measurement processes developed in a previous work by studying examples of quantum instruments displaying various interesting phenomena and singularities. We…

Mathematical Physics · Physics 2021-03-04 Tristan Benoist , Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet

Heat fluctuations over a time \tau in a non-equilibrium stationary state and in a transient state are studied for a simple system with deterministic and stochastic components: a Brownian particle dragged through a fluid by a harmonic…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

We revisit the model of a Brownian particle in a heat bath submitted to an actively controlled force proportional to the velocity that leads to thermal noise reduction (cold damping). We investigate the influence of the continuous feedback…

Statistical Mechanics · Physics 2015-06-04 T. Munakata , M. L. Rosinberg

We investigate fluctuations in the momentum flux across a surface perpendicular to the velocity gradient in a stationary shear flow maintained by either thermostated deterministic or by stochastic boundary conditions. In the deterministic…

Chaotic Dynamics · Physics 2009-11-07 Federico Bonetto , Joel Lebowitz

We study the dynamics of inertial particles in turbulence using datasets obtained from both direct numerical simulations and laboratory experiments of turbulent swirling flows. By analyzing time series of particle velocity increments at…

The fluctuation-dissipation-theorem connects equilibrium to mildly (linearly) perturbed situations in a thermodynamic manner: It involves the observable of interest and the entropy production caused by the perturbation. We derive a relation…

Statistical Mechanics · Physics 2021-03-24 Tristan Holsten , Matthias Krüger

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

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