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We consider stochastic rotational dynamics of a macrospin at a constant temperature, in presence of an external magnetic field. Starting from the appropriate Langevin equation which contains multiplicative noise, we calculate entropy…

Statistical Mechanics · Physics 2016-01-15 Swarnali Bandopadhyay , Debasish Chaudhuri , A. M. Jayannavar

Certain thermal non-equilibrium situations, outside of the astrophysical realm, suggest that entropy production extrema, instead of entropy extrema, are related to stationary states. In an effort to better understand the evolution of…

Astrophysics of Galaxies · Physics 2015-05-27 Eric I. Barnes , Liliya L. R. Williams

We characterize the possible moments of entropy production for general overdamped Markovian systems. We find a general formulation of the problem, and derive a new necessary condition between the second and third moment. We determine all…

Statistical Mechanics · Physics 2024-04-02 Jean-Charles Delvenne , Léopold Van Brandt

The reduced density matrix that characterises the state of an open quantum system is a projection from the full density matrix of the quantum system and its environment, and there are many full density matrices consistent with a given…

Quantum Physics · Physics 2024-11-28 Claudia L. Clarke , Ian J. Ford

We study entropy production (EP) in processes involving repeated quantum measurements of finite quantum systems. Adopting a dynamical system approach, we develop a thermodynamic formalism for the EP and study fine aspects of irreversibility…

Mathematical Physics · Physics 2017-08-02 Tristan Benoist , Vojkan Jaksic , Yan Pautrat , Claude-Alain Pillet

We introduce lower bounds for the rate of entropy production of an active stochastic process by quantifying the irreversibility of stochastic traces obtained from mesoscopic degrees of freedom. Our measures of irreversibility reveal…

Statistical Mechanics · Physics 2021-04-29 Édgar Roldán , Jérémie Barral , Pascal Martin , Juan M. R. Parrondo , Frank Jülicher

The entropy production rate associated with broken time-reversal symmetry provides an essential characterization of nanosystems out of equilibrium, from driven colloidal particles to molecular motors. Limited access to the dynamical states…

Statistical Mechanics · Physics 2020-11-25 Gianluca Teza , Attilio L. Stella

Nonequilibrium processes break time-reversal symmetry and generate entropy. Living systems are driven out-of-equilibrium at the microscopic level of molecular motors that exploit chemical potential gradients to transduce free energy to…

Statistical Mechanics · Physics 2022-12-06 Eden Nitzan , Aishani Ghosal , Gili Bisker

Recent large deviation results have provided general lower bounds for the fluctuations of time-integrated currents in the steady state of stochastic systems. A corollary are so-called thermodynamic uncertainty relations connecting precision…

Statistical Mechanics · Physics 2017-03-29 Juan P. Garrahan

The inference of thermodynamic quantities from the description of an only partially accessible physical system is a central challenge in stochastic thermodynamics. A common approach is coarse-graining, which maps the dynamics of such a…

Statistical Mechanics · Physics 2022-08-19 Jann van der Meer , Benjamin Ertel , Udo Seifert

The thermodynamic definition of entropy can be extended to nonequilibrium systems based on its relation to information. To apply this definition in practice requires access to the physical system's microstates, which may be prohibitively…

Statistical Mechanics · Physics 2020-08-21 Gil Ariel , Haim Diamant

The appealing theoretical measure of irreversibility in a stochastic process, as the ratio of the probabilities of a trajectory and its time reversal, cannot be accessed directly in experiment since the probability of a single trajectory is…

Statistical Mechanics · Physics 2022-04-14 Julian Kappler , Ronojoy Adhikari

Evaluating the entropy production (EP) along a stochastic trajectory requires the knowledge of the system probability distribution, an ensemble quantity notoriously difficult to measure. In this paper, we show that the EP of nonautonomous…

Statistical Mechanics · Physics 2015-06-18 Gregory Bulnes Cuetara , Massimiliano Esposito , Alberto Imparato

Energy flow in bio-molecular motors and machines are vital to their function. Yet experimental observations are often limited to a small subset of variables that participate in energy transport and dissipation. Here we show, through a…

Statistical Mechanics · Physics 2016-08-17 Shou-Wen Wang , Kyogo Kawaguchi , Shin-ichi Sasa , Lei-Han Tang

Interpreting partial information collected from systems subject to noise is a key problem across scientific disciplines. Theoretical frameworks often focus on the dynamics of variables that result from coarse-graining the internal states of…

Statistical Mechanics · Physics 2022-08-18 Pedro E. Harunari , Annwesha Dutta , Matteo Polettini , Édgar Roldán

We prove that the transport of any differentiable scalar observable in $d$-dimensional non-equilibrium systems is bounded from above by the total entropy production scaled by the amount the observation "stretches" microscopic coordinates.…

Statistical Mechanics · Physics 2024-10-10 Cai Dieball , Aljaž Godec

Observational entropy captures both the intrinsic uncertainty of a thermodynamic state and the lack of knowledge due to coarse-graining. We demonstrate two interpretations of observational entropy, one as the statistical deficiency…

Quantum Physics · Physics 2024-11-20 Ge Bai , Dominik Šafránek , Joseph Schindler , Francesco Buscemi , Valerio Scarani

We study the multiple definitions of the entropy production for discrete-time Markov processes in single systems and composite systems. These definitions have been studied in single systems, but less so in composite systems. With a clear…

Statistical Mechanics · Physics 2025-05-30 Masanao Igarashi

The second law of thermodynamics, which asserts the non-negativity of the average total entropy production of a combined system and its environment, is a direct consequence of applying Jensen's inequality to a fluctuation relation. It is…

Statistical Mechanics · Physics 2017-03-22 Surachate Limkumnerd

For periodically driven systems, we derive a family of inequalities that relate entropy production with experimentally accessible data for the mean, its dependence on driving frequency, and the variance of a large class of observables. With…

Statistical Mechanics · Physics 2019-06-25 Timur Koyuk , Udo Seifert