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Using a time-averaging technique we obtain exactly the probability distribution for position and velocity of a Brownian particle under the influence of two heat baths at different temperatures. These baths are expressed by a white noise…

统计力学 · 物理学 2011-07-01 D. O. Soares-Pinto , W. A. M. Morgado

Nowadays many tools, e.g. fluctuation relations, are available to characterize the statistical properties of non-equilibrium systems. However, most of these tools rely on the assumption that the driving noise is normally distributed. Here…

统计力学 · 物理学 2023-11-29 Dario Lucente , Andrea Puglisi , Massimiliano Viale , Angelo Vulpiani

After establishing stochastic thermodynamics for underdamped Langevin systems in contact with multiple reservoirs, we derive its overdamped limit using timescale separation techniques. The overdamped theory is different from the naive…

统计力学 · 物理学 2017-01-03 Yûto Murashita , Massimiliano Esposito

Kinetics of biological motors such as kinesin or dynein is notably influenced by viscoelastic intracellular environment. The characteristic relaxation time of the cytosol is not separable from the colloidal timescale and therefore their…

统计力学 · 物理学 2025-12-09 Mateusz Wiśniewski , Jakub Spiechowicz

We study stochastic thermodynamics of over-damped Brownian motion in a flowing fluid. Unlike some previous works, we treat the effects of the flow field as a non-conservational driving force acting on the Brownian particle. This allows us…

统计力学 · 物理学 2024-04-23 Jun Wu , Mingnan Ding , Xiangjun Xing

We show that in driven systems the Gaussian nature of the fluctuating force and time-reversibility are equivalent properties. This result together with the potential condition of the external force drastically restricts the form of the…

统计力学 · 物理学 2007-06-11 M. H. Vainstein , J. M. Rubi

We discuss the dynamics of a Brownian particle under the influence of a spatially periodic noise strength in one dimension using analytical theory and computer simulations. In the absence of a deterministic force, the Langevin equation can…

统计力学 · 物理学 2022-01-28 Davide Breoni , Ralf Blossey , Hartmut Löwen

Observation of the Brownian motion of a small probe interacting with its environment is one of the main strategies to characterize soft matter. Essentially two counteracting forces govern the motion of the Brownian particle. First, the…

We analyze underdamped Brownian motion in non-isothermal media with quadratic, linear, and piecewise-constant temperature profiles. Exact identities for entropy production and entropy extraction are derived, addressing whether a vanishing…

统计力学 · 物理学 2025-09-10 Mesfin Taye

We provide a comprehensive analysis of the positional dynamics and average thermodynamics of an overdamped Brownian particle subject to both, harmonic confinement and annealed disorder due to a temporarily fluctuating trap stiffness. We…

统计力学 · 物理学 2025-09-17 Deepak Gupta , Sabine H. L. Klapp

We study the stochastic motion of a particle subject to spatially varying Lorentz force in the small-mass limit. The limiting procedure yields an additional drift term in the overdamped equation that cannot be obtained by simply setting…

软凝聚态物质 · 物理学 2019-09-04 Hidde Derk Vuijk , Joseph Michael Brader , Abhinav Sharma

We consider different Markovian embedding schemes of non-Markovian stochastic processes that are described by generalized Langevin equations (GLE) and obey thermal detailed balance under equilibrium conditions. At thermal equilibrium…

统计力学 · 物理学 2010-02-08 Peter Siegle , Igor Goychuk , Peter Talkner , Peter Hanggi

We introduce an example of thermodynamic uncertainty relation (TUR) for systems modeled by a one-dimensional generalised Langevin dynamics with memory, determining the motion of a micro-bead driven in a complex fluid. Contrary to TURs…

统计力学 · 物理学 2020-11-06 Ivan Di Terlizzi , Marco Baiesi

In this work, we examine the impact of time-varying temperature and force on the thermodynamic features of active Brownian motor that moves with velocity against the force as well as passive Brownian motor. By deriving analytical…

统计力学 · 物理学 2025-09-10 Mesfin Taye

Recent pioneering experiments on non-Markovian dynamics done e.g. for active matter have demonstrated that our theoretical understanding of this challenging yet hot topic is rather incomplete and there is a wealth of phenomena still…

统计力学 · 物理学 2024-02-27 M. Wiśniewski , J. Łuczka , J. Spiechowicz

We use the Quantum Langevin equation as a starting point to study the response function, the position-velocity correlation function and the velocity autocorrelation function of a charged Quantum Brownian particle in the presence of a…

统计力学 · 物理学 2022-03-10 Suraka Bhattacharjee , Urbashi Satpathi , Supurna Sinha

It is analytically shown that the one-dimensional Ising model with Glauber dynamics exhibits short time memory effects when submitted to an abrupt change in the temperature. These effects are qualitatively similar to those experimentally…

统计力学 · 物理学 2009-11-07 J. Javier Brey , A. Prados

Condensation phenomena in non-equilibrium systems have been modeled by the zero-range process, which is a model of particles hopping between boxes with Markovian dynamics. In many cases, memory effects in the dynamics cannot be neglected.…

统计力学 · 物理学 2012-12-18 Ori Hirschberg , David Mukamel , Gunter M. Schütz

The phenomena of subdiffusion are widely observed in physical and biological systems. To investigate the effects of external potentials, say, harmonic potential, linear potential, and time dependent force, we study the subdiffusion…

统计力学 · 物理学 2019-04-24 Yao Chen , Xudong Wang , Weihua Deng

We provide a quantitative description of the evolution of memory from the apparently random Markovian dynamics of a pair of optically trapped colloidal microparticles in water. The particles are trapped in very close proximity of each other…

软凝聚态物质 · 物理学 2018-08-15 Shuvojit Paul , Randhir Kumar , Ayan Banerjee