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We present the stochastic thermodynamic analysis of a time-periodic single particle pump, including explicit results for flux, thermodynamic force, entropy production, work, heat and efficiency. These results are valid far from equilibrium.…

Statistical Mechanics · Physics 2017-12-06 Alexandre Rosas , Christian Van den Broeck , Katja Lindenberg

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

A general formulation of stochastic thermodynamics is presented for open systems exchanging energy and particles with multiple reservoirs. By introducing a partition in terms of "macrostates" (e.g. sets of "microstates"), the consequence on…

Statistical Mechanics · Physics 2015-06-03 Massimiliano Esposito

The extension of thermodynamic principles to active matter remains a challenge due to the non-equilibrium nature inherent to active systems. In this study, we introduce a framework to assess entropy in our minimal macroscopic experiment…

Soft Condensed Matter · Physics 2024-09-26 Francesco Romanò , Michael Riedl

Recently, the theoretical framework of stochastic thermodynamics has been revealed to be useful for macroscopic systems. However, despite its conceptual and practical importance, the connection to hydrodynamics has yet to be explored. In…

Statistical Mechanics · Physics 2024-06-21 Kohei Yoshimura , Sosuke Ito

A first principles analysis of an open system thermodynamical Carnot cycle is provided, and the results are compared to those proposed by Gibbs for open systems. The Kelvin-Clausius statement concerning heat transfer for reversible cycles…

General Mathematics · Mathematics 2007-05-23 Christopher G. Jesudason

The thermodynamic limit of the internal energy and the entropy of the system of quantum interacting particles in random medium is shown to exist under the crucial requirements of stability and temperedness of interactions. The energy turns…

Mathematical Physics · Physics 2012-01-24 Nikolaj A. Veniaminov

Dunkel and Hilbert, "Consistent thermostatistics forbids negative absolute temperatures," Nature Physics, {\bf 10}, 67 (2014), and Hilbert, H\"anggi, and Dunkel, "Thermodynamic laws in isolated systems," Phys. Rev. E {\bf 90}, 062116 (2014)…

Statistical Mechanics · Physics 2015-07-09 Jian-Sheng Wang

In this work we study, at the single molecular level, the thermodynamic and dynamic characteristics of an enzymatic reaction comprising a rate limiting step. We investigate how the stability of the enzyme-state stationary probability…

Subcellular Processes · Quantitative Biology 2015-05-20 Moisés Santillán

On the basis of information theory, a new formalism of classical non-relativistic mechanics of a mass point is proposed. The particle trajectories of a general dynamical system defined on an (1+n)-dimensional smooth manifold are treated…

Quantum Physics · Physics 2014-07-30 Yoshimasa Kurihara , Khiem Hong Phan , Nhi My Uyen Quach

The resource theory of thermal operations, an established model for small-scale thermodynamics, provides an extension of equilibrium thermodynamics to nonequilibrium situations. On a lattice of any dimension with any translation-invariant…

In a recent paper [P. Strasberg and M. Esposito, Phys. Rev. E {\bf 101}, 050101(R) (2020)] an attempt is presented to formulate the nonequilibrium thermodynamics of an open system in terms of the Hamiltonian of mean force. The purpose of…

Statistical Mechanics · Physics 2021-01-04 Peter Talkner , Peter Hänggi

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

The entropy production is one of the most essential features for systems operating out of equilibrium. The formulation for discrete-state systems goes back to the celebrated Schnakenberg's work and hitherto can be carried out when for each…

Statistical Mechanics · Physics 2020-04-15 D. M. Busiello , D. Gupta , A. Maritan

Quantum thermodynamics has emerged as a central field for understanding how energy conversion processes occur in microscopic systems. In these systems, effects such as coherence, entanglement, and non-Markovianity play key roles. In this…

Quantum Physics · Physics 2025-12-02 J. M. Z. Choquehuanca

Based on the theory of stochastic chemical kinetics, the inherent randomness and stochasticity of biochemical reaction networks can be accurately described by discrete-state continuous-time Markov chains. The analysis of such processes is,…

Numerical Analysis · Mathematics 2014-10-14 Andreychenko Alexander , Mikeev Linar , Wolf Verena

We build a rigorous nonequilibrium thermodynamic description for open chemical reaction networks of elementary reactions. Their dynamics is described by deterministic rate equations satisfying mass action law. Our most general framework…

Statistical Mechanics · Physics 2017-01-13 Riccardo Rao , Massimiliano Esposito

Comment on the paper J. Solsvik and E. Manger, "Kinetic theory models for granular mixtures with unequal granular temperature: Hydrodynamic velocity," Phys. Fluids \textbf{33}, 043321 (2021).

Soft Condensed Matter · Physics 2021-08-17 Vicente Garzó

We study the configurational probability distribution of a mono-atomic gas with a finite number of particles N in the micro-canonical ensemble. We give two arguments why the thermodynamic entropy of the configurational subsystem involves…

Statistical Mechanics · Physics 2015-05-19 Maarten Baeten , Jan Naudts

Reciprocal relations correlate fairly accurately a great variety of experimental results. Nevertheless, the concepts of statistical fluctuations, and microscopic reversibility - the bases of the accepted proof of the relations by Onsager -…

Chemical Physics · Physics 2007-05-23 Elias P. Gyftopoulos
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