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Related papers: Entropy production estimation with optimal current

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Entropy production of an active particle in an external potential is identified through a thermodynamically consistent minimal lattice model that includes the chemical reaction providing the propulsion and ordinary translational noise. In…

Statistical Mechanics · Physics 2017-12-01 Patrick Pietzonka , Udo Seifert

We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and…

Statistical Mechanics · Physics 2015-07-02 Gabriel T. Landi , Tânia Tomé , Mario J. de Oliveira

We derive general expressions for the free energy, entropy production and entropy extraction rates for a Brownian particle that walks in a viscous medium where the dynamics of its motion is governed by the Langevin equation. It is shown…

Statistical Mechanics · Physics 2016-09-14 Mesfin Asfaw Taye

Entropy production plays an important role in the regulation and stability of active matter systems, and its rate quantifies the nonequilibrium nature of these systems. However, entropy production is hard to be experimentally estimated even…

Statistical Mechanics · Physics 2024-10-23 Ruicheng Bao , Zhonghuai Hou

We present a method of estimating the rate of entropy production in underdamped dynamics by decomposing it into contributions originating in different non-equilibrium effects. Specifically, a non-zero average velocity, a non-thermal width…

Statistical Mechanics · Physics 2025-12-01 Mario A. Ciampini , Jakob Rieser , Nikolai Kiesel , Andreas Dechant

The total entropy production and its three constituent components are described both as fluctuating trajectory-dependent quantities and as averaged contributions in the context of the continuous Markovian dynamics, described by stochastic…

Statistical Mechanics · Physics 2015-06-04 Richard E. Spinney , Ian J. Ford

In thermodynamics, entropy production and work quantify irreversibility and the consumption of useful energy, respectively, when a system is driven out of equilibrium. For quantum systems, these quantities can be identified at the…

We study irreversible processes for nonlinear oscillators networks described by complex-valued Langevin equations that account for coupling to different thermo-chemical baths. Dissipation is introduced via non-Hermitian terms in the…

Statistical Mechanics · Physics 2017-08-02 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Jonas Fransson

We investigate entropy production in the small-mass (or overdamped) limit of Langevin-Kramers dynamics. The results generalize previous works to provide a rigorous derivation that covers systems with magnetic field as well as anisotropic…

Mathematical Physics · Physics 2018-10-17 Jeremiah Birrell

We propose an expression for the production of entropy for system described by a stochastic dynamics which is appropriate for the case where the reverse transition rate vanishes but the forward transition is nonzero. The expression is…

Statistical Mechanics · Physics 2024-08-22 Tânia Tome , Mário J. de Oliveira

The thermodynamic uncertainty relation originally proven for systems driven into a non-equilibrium steady state (NESS) allows one to infer the total entropy production rate by observing any current in the system. This kind of inference…

Statistical Mechanics · Physics 2021-09-23 Timur Koyuk , Udo Seifert

The entropy production is commonly interpreted as measuring the distance from equilibrium. However, this explanation lacks a rigorous description due to the absence of a natural equilibrium measure. The present analysis formalizes this…

Statistical Mechanics · Physics 2025-10-23 David Andrieux

Nonequilibrium current fluctuations represent one of the central topics in nonequilibrium physics. The thermodynamic uncertainty relation (TUR) is widely acclaimed for rigorously establishing a lower bound on current fluctuations, expressed…

Statistical Mechanics · Physics 2025-12-09 Van Tuan Vo , Andreas Dechant , Keiji Saito

Predictability of behavior has emerged an an important characteristic in many fields including biology, medicine, and marketing. Behavior can be recorded as a sequence of actions performed by an individual over a given time period. This…

Methodology · Statistics 2017-11-13 Brian Vegetabile , Jenny Molet , Tallie Z. Baram , Hal Stern

For continuous-space diffusion processes, there is a strong connection between conservative forces and entropy production. For a given time evolution of the system's state, the entropy production is minimized when the system is driven by a…

Statistical Mechanics · Physics 2026-05-04 Andreas Dechant , Jann van der Meer

The Boltzmann distribution connects the energetics of an equilibrium system with its statistical properties, and it is desirable to have a similar principle for non-equilibrium systems. Here, we derive a variational principle for the…

Statistical Mechanics · Physics 2025-11-05 Atul Tanaji Mohite , Heiko Rieger

We consider the problem of estimating the mean entropy production rate in a nonequilibrium process from the measurements of first-passage quantities associated with a single current. For first-passage processes with large thresholds, Refs.…

Statistical Mechanics · Physics 2025-06-05 Izaak Neri

For a system moving away from equilibrium, we express the entropy production via a two-point correlation function for any time and any distance from equilibrium. The long-time limit gives the sum of the Lyapunov exponents for a general…

Chaotic Dynamics · Physics 2007-05-23 Gregory Falkovich , Alexander Fouxon

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers , Susan B. Rempe

We consider a one-dimensional persisent random walk viewed as a deterministic process with a form of time reversal symmetry. Particle reservoirs placed at both ends of the system induce a density current which drives the system out of…

Chaotic Dynamics · Physics 2009-10-31 T. Gilbert , J. R. Dorfman
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