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For chemical reaction networks described by a master equation, we define energy and entropy on a stochastic trajectory and develop a consistent nonequilibrium thermodynamic description along a single stochastic trajectory of reaction…

Statistical Mechanics · Physics 2009-11-11 Tim Schmiedl , Udo Seifert

Small systems in contact with a heat bath evolve by stochastic dynamics. Here we show that, when one such small system is weakly coupled to another one, it is possible to infer the presence of such weak coupling by observing the violation…

Statistical Mechanics · Physics 2016-11-07 Deepak Gupta , Sanjib Sabhapandit

Out-of-equilibrium systems continuously generate entropy, with its rate of production being a fingerprint of non-equilibrium conditions. In small-scale dissipative systems subject to thermal noise, fluctuations of entropy production are…

Statistical Mechanics · Physics 2023-01-19 Prajwal Padmanabha , Daniel Maria Busiello , Amos Maritan , Deepak Gupta

The expressions for entropy production, free energy, and entropy extraction rates are derived for a Brownian particle that walks in an underdamped medium. Our analysis indicates that as long as the system is driven out of equilibrium, it…

Statistical Mechanics · Physics 2021-02-18 Mesfin Asfaw Taye

Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived…

Statistical Mechanics · Physics 2007-08-02 R. J. Harris , G. M. Schütz

We analyze the production of entropy along non-equilibrium processes in quantum systems coupled to generic environments. First, we show that the entropy production due to final measurements and the loss of correlations obeys a fluctuation…

Quantum Physics · Physics 2018-08-08 Gonzalo Manzano , Jordan M. Horowitz , Juan M. R. Parrondo

We consider the additional entropy production (EP) incurred by a fixed quantum or classical process on some initial state $\rho$, above the minimum EP incurred by the same process on any initial state. We show that this additional EP, which…

Quantum Physics · Physics 2022-11-22 Artemy Kolchinsky , David H. Wolpert

Fluctuation theorems impose constraints on the probability of observing negative entropy production in small systems driven out of equilibrium. The range of validity of fluctuation theorems has been extensively tested for transitions…

Statistical Mechanics · Physics 2015-04-21 Léo Granger , Jumna Mehlis , Édgar Roldán , Sergio Ciliberto , Holger Kantz

The total entropy production fluctuations are studied in some exactly solvable models. For these systems, the detailed fluctuation theorem holds even in the transient state, provided initially the system is prepared in thermal equilibrium.…

Statistical Mechanics · Physics 2009-08-08 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

The probability distribution of the entropy production for the effusion of a relativistic ideal gas is calculated explicitly. This result is then extended to include particle and anti-particle pair production and annihilation. In both…

Statistical Mechanics · Physics 2009-11-13 B. Cleuren , K. Willaert , A. Engel , C. Van den Broeck

We investigate the total entropy production of a Brownian particle in a driven bistable system. This system exhibits the phenomenon of stochastic resonance. We show that in the time-periodic steady state, the probability density function…

Statistical Mechanics · Physics 2009-11-13 Sourabh Lahiri , A. M. Jayannavar

Active systems comprise a class of nonequilibrium dynamics in which individual components autonomously dissipate energy. Efforts towards understanding the role played by activity have centered on computation of the entropy production rate…

Statistical Mechanics · Physics 2024-11-22 Nicholas M. Boffi , Eric Vanden-Eijnden

The total entropy production of stochastic systems can be divided into three quantities. The first corresponds to the excess heat, whilst the second two comprise the house-keeping heat. We denote these two components the transient and…

Statistical Mechanics · Physics 2015-06-03 Richard E. Spinney , Ian J. Ford

The laws of thermodynamics apply to biophysical systems on the nanoscale as described by the framework of stochastic thermodynamics. This theory provides universal, exact relations for quantities like work, which have been verified in…

Statistical Mechanics · Physics 2024-09-26 Julius Degünther , Jann van der Meer , Udo Seifert

Using fluorescence spectroscopy we directly measure entropy production of a single two-level system realized experimentally as an optically driven defect center in diamond. We exploit a recent suggestion to define entropy on the level of a…

Statistical Mechanics · Physics 2007-05-23 C. Tietz , S. Schuler , T. Speck , U. Seifert , J. Wrachtrup

We introduce a model for a periodically driven electron pump that sequentially interact with an arbitrary number of heat and particle reservoirs. Exact expressions for the thermodynamic fluxes, such as entropy production and particle flows…

Statistical Mechanics · Physics 2021-09-03 Pedro E. Harunari , Carlos E. Fiore , Karel Proesmans

Fluctuation theorems specify the non-zero probability to observe negative entropy production, contrary to a naive expectation from the second law of thermodynamics. For closed particle trajectories in a fluid, Stokes theorem can be used to…

Statistical Mechanics · Physics 2022-07-06 Benoît Mahault , Evelyn Tang , Ramin Golestanian

We study full counting statistics for transferred heat and entropy production between multi-terminal systems in absence of a finite junction. The systems are modelled as collections of coupled harmonic oscillators which are kept at…

Statistical Mechanics · Physics 2015-06-16 Bijay Kumar Agarwalla , Huanan Li , Baowen Li , Jian-Sheng Wang

The fluctuation theorem for entropy production is a remarkable symmetry of the distribution of produced entropy that holds universally in non-equilibrium steady states with Markovian dynamics. However, in systems with slow degrees of…

Statistical Mechanics · Physics 2018-02-21 Matthias Uhl , Patrick Pietzonka , Udo Seifert

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

Statistical Mechanics · Physics 2013-05-30 Ian J. Ford , Richard E. Spinney