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The postulational basis of classical thermodynamics has been expanded to incorporate equilibrium fluctuations. The main additional elements of the proposed thermodynamic theory are the concept of quasi-equilibrium states, a definition of…

统计力学 · 物理学 2019-06-11 Y. Mishin

Thermo-Kinetic relations bound thermodynamic quantities such as entropy production with statistics of dynamical observables. We introduce a Thermo-Kinetic Relation to bound the entropy production or the non-adiabatic (Hatano-Sasa, excess)…

统计力学 · 物理学 2022-06-06 Jean-Charles Delvenne , Gianmaria Falasco

The uncertainty relations in hydrodynamics are numerically studied. We first give a review for the formulation of the generalized uncertainty relations in the stochastic variational method (SVM), following the paper by two of the present…

流体动力学 · 物理学 2020-11-25 G. Gonçalves de Matos , T. Kodama , T. Koide

We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient…

统计力学 · 物理学 2009-11-13 Debra J. Searles , Lamberto Rondoni , Denis J. Evans

We analyze F\"urth's 1933 classical uncertainty relations in the modern language of stochastic differential equations. Our interest is motivated by applications to non-equilibrium classical statistical mechanics. We show that F\"urth's…

统计力学 · 物理学 2025-11-11 Paolo Muratore-Ginanneschi , Luca Peliti

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…

统计力学 · 物理学 2015-10-28 Chulan Kwon

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…

统计力学 · 物理学 2019-04-16 Junang Li , Jordan M. Horowitz , Todd R. Gingrich , Nikta Fakhri

We obtain exact results for the recently discovered finite-time thermodynamic uncertainty relation in a stochastically driven system with non-Gaussian work statistics, both in the steady state and transient regimes, by obtaining exact…

统计力学 · 物理学 2018-03-13 Sreekanth K Manikandan , Supriya Krishnamurthy

The Boltzmann distribution for an equilibrium system constrains the statistics of the system by the energetics. Despite the non-equilibrium generalization of the Boltzmann distribution being studied extensively, a unified framework valid…

统计力学 · 物理学 2025-11-05 Atul Tanaji Mohite , Heiko Rieger

We establish universal relations between pattern formation and dissipation with a geometric approach to nonequilibrium thermodynamics of deterministic reaction-diffusion systems. We first provide a way to systematically decompose the…

统计力学 · 物理学 2026-05-04 Ryuna Nagayama , Kohei Yoshimura , Artemy Kolchinsky , Sosuke Ito

Thermodynamics is usually formulated on the presumption that the observer has complete information about the system he/she deals with: no parasitic current, exact evaluation of the forces that drive the system. For example, the acclaimed…

统计力学 · 物理学 2017-12-15 Matteo Polettini , Massimiliano Esposito

We explore the consequences of a deterministic microscopic thermostat-reservoir contact mechanism. With different temperature reservoirs at each end of a two-dimensional system, a heat current is produced and the system has an anomalous…

统计力学 · 物理学 2015-06-15 Gary P. Morriss , Daniel P. Truant

Accurately simulating coupled physical processes under uncertainty is essential for reliable modeling and design in performance-critical applications such as combustion systems. Ablative heat shield design, as a specific example of this…

计算物理 · 物理学 2025-10-07 Diba Behnoudfar , Kyle E. Niemeyer

Uncertainty relations state that there exist certain incompatible measurements, to which the outcomes cannot be simultaneously predicted. While the exact incompatibility of quantum measurements dictated by such uncertainty relations can be…

量子物理 · 物理学 2015-06-05 Esther Hänggi , Stephanie Wehner

We study two-mode bosonic engines undergoing an Otto cycle. The energy exchange between the two bosonic systems is provided by a tunable unitary bilinear interaction in the mode operators modeling frequency conversion, whereas the cyclic…

量子物理 · 物理学 2021-01-14 Massimiliano F. Sacchi

We derive bounds to the thermodynamic uncertainty relations in the linear-response regime for steady-state transport in two-terminal systems when time reversal symmetry is broken. We find that such bounds are different for charge and heat…

介观与纳米尺度物理 · 物理学 2023-09-26 Fabio Taddei , Rosario Fazio

We here present the complete analysis of experiments on driven Brownian motion and electric noise in a $RC$ circuit, showing that thermodynamic entropy production can be related to the breaking of time-reversal symmetry in the statistical…

We proved when random-variable fluctuations obey the central limit theorem the equality of the uncertainty relation corresponds to the thermodynamic equilibrium state. The inequality corresponds to the thermodynamic non-equilibrium state.…

量子物理 · 物理学 2007-05-23 You-gang Feng

Systems with interacting degrees of freedom play a prominent role in stochastic thermodynamics. Our aim is to use the concept of detached path probabilities and detached entropy production for bipartite Markov processes and elaborate on a…

统计力学 · 物理学 2017-10-17 Jannik Ehrich , Andreas Engel

We study a model of isothermal steady-state work-to-work converter, where a single quantum two-level system (TLS) driven by time-dependent periodic external fields acts as the working medium and is permanently put in contact with a thermal…

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