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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…

We provide a justification, via the thermodynamic limit, of the modular formula for entropy production in two-times measurement proposed in [Benoist, Bruneau, Jak\v{s}i\'c, Panati and Pillet: Lett. Math. Phys. 114:32, (2023)]. We consider…

Mathematical Physics · Physics 2024-10-02 Tristan Benoist , Laurent Bruneau , Vojkan Jakšić , Annalisa Panati , Claude-Alain Pillet

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

We derive a general lower bound on distributions of entropy production in interacting active matter systems. The bound is tight in the limit that interparticle correlations are small and short-ranged, which we explore in four canonical…

Statistical Mechanics · Physics 2021-02-03 Trevor GrandPre , Katherine Klymko , Kranthi K. Mandadapu , David T. Limmer

We investigate the decomposition of the total entropy production in continuous stochastic dynamics when there are odd-parity variables that change their signs under time reversal. The first component of the entropy production, which…

Statistical Mechanics · Physics 2020-01-08 Joonhyun Yeo , Chulan Kwon , Hyun Keun Lee , Hyunggyu Park

Systems coupled to multiple thermodynamic reservoirs can exhibit nonequilibrium dynamics, breaking detailed balance to generate currents. To power these currents, the entropy of the reservoirs increases. The rate of entropy production, or…

Statistical Mechanics · Physics 2019-04-16 Junang Li , Jordan M. Horowitz , Todd R. Gingrich , Nikta Fakhri

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 rate of entropy production by a stochastic process quantifies how far it is from thermodynamic equilibrium. Equivalently, entropy production captures the degree to which detailed balance and time-reversal symmetry are broken. Despite…

Statistical Mechanics · Physics 2020-12-02 Luca Cocconi , Rosalba Garcia-Millan , Zigan Zhen , Bianca Buturca , Gunnar Pruessner

Second law of thermodynamics imposes that in any thermodynamic process the entropy production must be nonnegative. In continuum physics such a requirement is fulfilled by postulating the constitutive equations which represent the material…

Mathematical Physics · Physics 2022-02-03 V. A. Cimmelli , P. Rogolino

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

The thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the…

We present a new outlook on the climate system thermodynamics, studying some of its macroscopic properties in terms of the 1st and 2nd laws of thermodynamics. We review and clarify the notion of efficiency of the climate system by…

Atmospheric and Oceanic Physics · Physics 2011-10-11 Valerio Lucarini

Work fluctuation and total entropy production play crucial roles in small thermodynamic systems subject to large thermal fluctuations. We investigate a trade-off relation between them in a nonequilibrium situation in which a system starts…

Statistical Mechanics · Physics 2016-12-15 Ken Funo , Tomohiro Shitara , Masahito Ueda

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small nonequilibrium systems. While work and heat are equally important forms of energy exchange, fluctuation relations have not been experimentally…

Statistical Mechanics · Physics 2022-02-24 Markus Rademacher , Michael Konopik , Maxime Debiossac , David Grass , Eric Lutz , Nikolai Kiesel

A typical strategy of realizing an adiabatic change of a many-particle system is to vary parameters very slowly on a time scale $t_\text{r}$ much larger than intrinsic equilibration time scales. In the ideal case of adiabatic state…

Statistical Mechanics · Physics 2021-03-24 Philipp S. Weiß , Dennis Hardt , Achim Rosch

We consider a system of two Brownian particles (say A and B), coupled to each other via harmonic potential of stiffness constant $k$. Particle-A is connected to two heat baths of constant temperatures $T_1$ and $T_2$, and particle-B is…

Statistical Mechanics · Physics 2018-07-04 Deepak Gupta , Sanjib Sabhapandit

In a thermodynamical process, the dissipation or production of entropy can only be positive or zero according to the second law of thermodynamics. However the laws of thermodynamics are applicable to large systems in the thermodynamic…

Statistical Mechanics · Physics 2015-05-13 Soma Datta , Arun Roy

A rigorous derivation of nonequilibrium entropy production via the path-integral formalism is presented. Entropy production is defined as the entropy change piled in a heat reservoir as a result of a nonequilibrium thermodynamic process. It…

Statistical Mechanics · Physics 2015-10-28 Chulan Kwon

We derive an exact expression for entropy production during effusion of an ideal gas driven by momentum transfer in addition to energy and particle flux. Following the treatment in Phys. Rev. E Vol. 74, 021117 (2006), we construct a master…

Classical Physics · Physics 2009-11-13 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

The quantum fluctuations of the entropy production for fermionic systems in the Landauer-Buttiker non-equilibrium steady state are investigated. The probability distribution, governing these fluctuations, is explicitly derived by means of…

Statistical Mechanics · Physics 2017-11-22 Mihail Mintchev , Luca Santoni , Paul Sorba