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We suggest a certain statistical interpretation for the entropy produced in driven thermodynamic processes. The exponential function of half irreversible entropy re-weights the probability of the standard Ornstein-Uhlenbeck-type…

化学物理 · 物理学 2007-05-23 Lajos Diosi

The second law of thermodynamics is a statement about the statistics of the entropy production, $\langle \Sigma \rangle \geq 0$. For small systems, it is known that the entropy production is a random variable and negative values ($\Sigma <…

统计力学 · 物理学 2022-01-05 Domingos S. P. Salazar

This paper shows an estimation of a lower bound on the total entropy production rate(EPR) for a system following Langevin dynamics with a single observed variable coarse-grained into a few discrete states, by invoking the underlying broken…

统计力学 · 物理学 2022-09-07 Aishani Ghosal , Gili Bisker

We study the stochastic thermodynamics of resetting systems. Violation of microreversibility means that the well known derivations of fluctuations theorems break down for dynamics with resetting. Despite that we show that stochastic…

统计力学 · 物理学 2017-12-27 Arnab Pal , Saar Rahav

Non-equilibrium stationary fluctuations may exhibit a special symmetry called fluctuation relations (FR). Here, we show that this property is always satisfied by the subtraction of two random and independent variables related by a…

统计力学 · 物理学 2011-12-13 Adrian A. Budini

Nonequilibrium thermodynamics of a general second-order stochastic system is investigated. We prove that at steady state, under inversion of velocities, the condition of time-reversibility over the phase space is equivalent to the…

统计力学 · 物理学 2015-10-28 Hao Ge

We formulate a dynamical fluctuation theory for stationary non equilibrium states (SNS) which is tested explicitly in stochastic models of interacting particles. In our theory a crucial role is played by the time reversed dynamics. Within…

统计力学 · 物理学 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

We consider stochastic energy balance and entropy production (EP) in a generalized Langevin dynamics of macrospins, allowing for both amplitude and direction fluctuations, under external magnetic field. EP is calculated using Fokker-Planck…

统计力学 · 物理学 2015-10-09 Swarnali Bandopadhyay , Debasish Chaudhuri , A. M. Jayannavar

We propose an $f$-divergence extension of the Hasegawa-Nishiyama thermodynamic uncertainty relation. More precisely, we introduce the stochastic thermodynamic entropy production based on generalised $f$-divergences and derive corresponding…

统计力学 · 物理学 2025-04-17 Yi C. Huang , Xinhang Tong

In stochastic thermodynamics, the entropy production of a thermodynamic system is defined by the irreversibility measured by the logarithm of the ratio of the path probabilities in the forward and reverse processes. We derive the relation…

统计力学 · 物理学 2018-03-14 Hyun-Myung Chun , Jae Dong Noh

Entropy production (EP) is a central measure in nonequilibrium thermodynamics, as it can quantify the irreversibility of a process as well as its energy dissipation in special cases. Using the time-reversal asymmetry in a system's path…

统计力学 · 物理学 2022-04-26 Dong-Kyum Kim , Sangyun Lee , Hawoong Jeong

We study the symmetry of large deviation functions associated with time-integrated currents in Markov pure jump processes. One current known to have this symmetry is the fluctuating entropy production and this is the content of the…

统计力学 · 物理学 2012-12-03 A. C. Barato , R. Chetrite

This essay fuses concepts and approaches used to describe fluctuating phenomena in climate systems and statistical mechanics, and explores new ideas essential for understanding such phenomena. Its starting points are the Langevin equation…

大气与海洋物理 · 物理学 2026-02-27 Jin-Song von Storch

Detailed fluctuation theorems are statements about the probability distribution for the stochastic entropy production along a trajectory. It involves the consideration of a suitably transformed dynamics, such as the time reversed, the…

统计力学 · 物理学 2015-01-07 T. Becker , T. Willaert , B. Cleuren , C. Van den Broeck

The "ratchet principle" asserts that non-equilibrium systems which violate parity symmetry generically exhibit steady-state currents. As recently shown, there are exceptions to this principle, due to the existence of hidden time-reversal…

统计力学 · 物理学 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

The combined law of thermodynamics derived by Gibbs laid the foundation of thermodynamics though only applicable to systems without internal processes. Gibbs further derived the classical statistical thermodynamics in terms of the…

统计力学 · 物理学 2023-09-19 Zi-Kui Liu

Sagawa and Ueda established a fluctuation theorem of information exchange by revealing the role of correlations in stochastic thermodynamics and unified the non-equilibrium thermodynamics of measurement and feedback control [T. Sagawa and…

统计力学 · 物理学 2019-03-26 Lee Jinwoo

We consider a stochastic model described by two stochastic differential equations of motion; one is for the stochastic evolution forward in time and the other for backward in time. We further introduce averaged quantities for the two…

统计力学 · 物理学 2009-07-21 T. Koide , M. Mine , M. Okumura , Y. Yamanaka

A non-vanishing entropy production rate is one of the defining characteristics of any non-equilibrium system, and several techniques exist to determine this quantity directly from experimental data. The short-time inference scheme, derived…

统计力学 · 物理学 2022-11-29 Biswajit Das , Sreekanth K Manikandan , Ayan Banerjee

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

统计力学 · 物理学 2011-08-26 M. Belushkin , R. Livi , G. Foffi