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Related papers: Thermodynamic work of partial resetting

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In this article, we study the dynamics of a nonlinear system governed by an ordinary differential equation under the combined influence of fast periodic sampling with period $\delta$ and small jump noise of size $\varepsilon, 0<…

Probability · Mathematics 2024-11-28 Shivam Singh Dhama

We combine the processes of resetting and first-passage to define \emph{first-passage resetting}, where the resetting of a random walk to a fixed position is triggered by a first-passage event of the walk itself. In an infinite domain,…

Statistical Mechanics · Physics 2021-06-22 B. De Bruyne , J. Randon-Furling , S. Redner

Inspired by many examples in nature, stochastic resetting of random processes has been studied extensively in the past decade. In particular, various models of stochastic particle motion were considered where upon resetting the particle is…

Statistical Mechanics · Physics 2022-11-23 Ofir Tal-Friedman , Yael Roichman , Shlomi Reuveni

A stochastic process, when subject to resetting to its initial condition at a constant rate, generically reaches a non-equilibrium steady state. We study analytically how the steady state is approached in time and find an unusual relaxation…

Statistical Mechanics · Physics 2015-05-29 Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr

By periodically returning a search process to a known or random state, random resetting possesses the potential to unveil new trajectories, sidestep potential obstacles, and consequently enhance the efficiency of locating desired targets.…

Statistical Mechanics · Physics 2024-12-31 Arnab Pal , Viktor Stojkoski , Trifce Sandev

We define a proper effective temperature for relativistic nonequilibrium steady states (NESSs). A conventional effective temperature of NESSs is defined from the ratio of the fluctuation to the dissipation. However, NESSs have relative…

High Energy Physics - Theory · Physics 2020-12-02 Hironori Hoshino , Shin Nakamura

In this paper we investigate the normal and the large fluctuations of additive functionals associated with a stochastic process under a general non-Poissonian resetting mechanism. Cumulative functionals of regenerative processes are very…

Probability · Mathematics 2023-04-24 Marco Zamparo

In our former work [K. Tadaki, Local Proceedings of CiE 2008, pp.425-434, 2008], we developed a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities at temperature T,…

Information Theory · Computer Science 2019-09-04 Kohtaro Tadaki

Nonequilibrium thermodynamics (NET) investigates processes in systems out of global equilibrium. On a mesoscopic level, it provides a statistical dynamic description of various complex phenomena such as chemical reactions, ion transport,…

Statistical Mechanics · Physics 2016-04-20 Hong Qian , Signe Kjelstrup , Anatoly B. Kolomeisky , Dick Bedeaux

We derive a formulation of the First Law of nonequilibrium thermodynamics for biological information-processing systems by partitioning entropy in the Second Law into microscopic and mesoscopic components and by assuming that natural…

Statistical Mechanics · Physics 2025-11-03 Roger D. Jones , Achille Giacometti , Alan M. Jones

We formulate a comprehensive theoretical description of excitation harvesting in molecular aggregates photoexcited by weak incoherent radiation. An efficient numerical scheme that respects the continuity equation for excitation fluxes is…

Chemical Physics · Physics 2021-01-01 Veljko Janković , Tomáš Mančal

We examine stochastic processes that are used to model nonequilibrium processes (e.g, pulling RNA or dragging colloids) and so deliberately violate detailed balance. We argue that by combining an information-theoretic measure of…

Statistical Mechanics · Physics 2009-11-13 R. A. Blythe

The nonequilibrium steady state (NESS) of integrable spin chains experiencing strong boundary dissipation is accounted by introducing quasiparticles with a renormalized -- dissipatively dressed -- dispersion relation. This allows us to…

Statistical Mechanics · Physics 2025-05-23 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaž Prosen

We study discrete-time random walks on networks subject to a time-dependent stochastic resetting, where the walker either hops randomly between neighboring nodes with a probability $1-\phi(a)$, or is reset to a given node with a…

Statistical Mechanics · Physics 2025-06-18 Hanshuang Chen , Yanfei Ye

Ehrenfest urns with interaction that are connected in a ring is considered as a paradigm model for non-equilibrium thermodynamics and is shown to exhibit two distinct non-equilibrium steady states (NESS) of uniform and non-uniform particle…

Statistical Mechanics · Physics 2021-06-03 Chi-Ho Cheng , Pik-Yin Lai

We study the behaviour of a symmetric exclusion process in the presence of non-Markovian stochastic resetting, where the configuration of the system is reset to a step-like profile at power-law waiting times with an exponent $\alpha$. We…

Statistical Mechanics · Physics 2023-08-22 Seemant Mishra , Urna Basu

The effect of partial absorption on a diffusive particle which stochastically resets its position with a finite rate $r$ is considered. The particle is absorbed by a target at the origin with absorption `velocity' $a$; as the velocity $a$…

Statistical Mechanics · Physics 2015-06-12 Justin Whitehouse , Martin R. Evans , Satya N. Majumdar

In this paper we introduce a general stochastic representation for an important class of processes with resetting. It allows to describe any stochastic process intermittently terminated and restarted from a predefined random or non-random…

Probability · Mathematics 2023-10-11 Marcin Magdziarz , Kacper Taźbierski

We introduce an explicit solution for the non-equilibrium steady state (NESS) of a ring that is coupled to a thermal bath, and is driven by an external hot source with log-wide distribution of couplings. Having time scales that stretch over…

Statistical Mechanics · Physics 2013-12-31 Daniel Hurowitz , Saar Rahav , Doron Cohen

The possibility of a controlled manipulation with molecules at the nanoscale allows us to gain net work from thermal energy, although this seems to be in contradiction to the Second Law of thermodynamics. Any manipulation, however, causes…

Statistical Mechanics · Physics 2019-07-03 Miroslav Holeček