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We investigate the dynamical information exchange between a two-state system and its environment which is measured by von Neumann entropy. It is found that in the underdamping regime, the entropy dynamics exhibits an extremely non-Markovian…

量子物理 · 物理学 2015-05-27 Zhiguo Lü , H. Zheng

A trade-off between the precision of an arbitrary current and the dissipation, known as the thermodynamic uncertainty relation, has been investigated for various Markovian systems. Here, we study the thermodynamic uncertainty relation for…

统计力学 · 物理学 2019-09-23 Tan Van Vu , Yoshihiko Hasegawa

We study the effects of an intermittent harmonic potential of strength $\mu = \mu_0 \nu$ -- that switches on and off stochastically at a constant rate $\gamma$, on an overdamped Brownian particle with damping coefficient $\nu$. This can be…

统计力学 · 物理学 2021-07-28 Ion Santra , Santanu Das , Sujit Kumar Nath

We consider the two dimensional motion of a particle into a confining potential, subjected to Brownian forces, associated with two different temperatures on the orthogonal directions. Exact solutions are obtained for an asymmetric harmonic…

统计力学 · 物理学 2018-05-23 Vincent Mancois , Bruno Marcos , Pascal Viot , David Wilkowski

It is quite generally assumed that the overdamped Langevin equation provides a quantitative description of the dynamics of a classical Brownian particle in the long time limit. We establish and investigate a paradigm anomalous diffusion…

统计力学 · 物理学 2016-09-26 A. S. Bodrova , A. V. Chechkin , A. G. Cherstvy , H. Safdari , I. M. Sokolov , R. Metzler

We consider nonequilibrium transport in a simple chain of identical mechanical cells in which particles move around. In each cell, there is a rotating disc, with which these particles interact, and this is the only interaction in the model.…

统计力学 · 物理学 2008-07-15 Jean-Pierre Eckmann , Carlos Mejia-Monasterio , Emmanuel Zabey

We analyse the dynamical evolution of a fluid with non-linear drag, for which binary collisions are elastic, described at the kinetic level by the Enskog-Fokker-Planck equation. This model system, rooted in the theory of non-linear Brownian…

软凝聚态物质 · 物理学 2024-03-26 A. Patrón , B. Sánchez-Rey , A. Prados

We study the non-Markovian effects on the dynamics of entanglement in an exactly-solvable model that involves two independent oscillators each coupled to its own stochastic noise source. First, we develop Lie algebraic and functional…

统计力学 · 物理学 2012-05-23 Justin H. Wilson , Benjamin M. Fregoso , Victor M. Galitski

The accuracy of a model to describe the horizontal dynamics of a confined quasi-two-dimensional system of inelastic hard spheres is discussed by comparing its predictions for the relaxation of the temperature in an homogenous system with…

统计力学 · 物理学 2015-06-19 J. Javier Brey , M. I. García de Soria , P. Maynar , V. Buzón

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

统计力学 · 物理学 2022-06-30 Cillian Cockrell , Ian J Ford

We study experimentally the impact of inertial reference frame changes on overdamped Brownian motion. The reference frame changes are implemented by inducing, with a laser, laminar convection flows in a column of fluid where Brownian…

统计力学 · 物理学 2021-09-01 Minghao Li , Oussama Sentissi , Stefano Azzini , Cyriaque Genet

We study the relaxation of a Brownian particle with long range memory under confinement in one dimension. The particle diffuses in an arbitrary confining potential and resets at random times to previously visited positions, chosen with a…

统计力学 · 物理学 2025-07-15 Denis Boyer , Satya N. Majumdar

We study an inertial Brownian particle moving in a symmetric periodic substrate, driven by a zero-mean biharmonic force and correlated thermal noise. The Brownian motion is described in terms of a Generalized Langevin Equation with an…

统计力学 · 物理学 2010-10-19 Lukasz Machura , Jerzy Luczka

We address memory effects in the dynamics of a two-level open quantum system interacting with a classical fluctuating field via dipole interaction. In particular, we study the backflow of information for a field with a Lorentzian spectrum,…

量子物理 · 物理学 2019-02-20 Samaneh Hesabi , Davood Afshar , Matteo G. A. Paris

Recent work has addressed the problem of inferring Langevin dynamics from data. In this work, we address the problem of relating terms in the Langevin equation to statistical properties, such as moments of the probability density function…

统计力学 · 物理学 2026-04-09 Yeeren I. Low

The time evolution of quantum correlations of entangled two-mode continuous variable states is examined in single-reservoir as well as two-reservoir models, representing noisy correlated or uncorrelated non-Markovian quantum channels. For…

量子物理 · 物理学 2009-11-13 C. Hoerhammer , H. Buettner

We study the random processes with non-local memory and obtain new solutions of the Mori-Zwanzig equation describing non-markovian systems. We analyze the system dynamics depending on the amplitudes $\nu$ and $\mu_0$ of the local and…

统计力学 · 物理学 2021-03-24 S. S. Melnyk , O. V. Usatenko , V. A. Yampol'skii

We discuss inertial effects in systems outside equilibrium within the framework of non-equilibrium thermodynamics. By introducing a Gibbs equation in which the entropy depends on the probability density, we are able to describe a system of…

统计力学 · 物理学 2015-06-25 J. M. Rubi , A. Perez-Madrid

Adaptive physical and biological systems continually process fluctuating information from their environments. When the environment is nonstationary, inference itself becomes a nonequilibrium process with thermodynamic cost. We analyse a…

统计力学 · 物理学 2026-03-23 Aditya Gupta

Based on analytical and numerical calculations we study the dynamics of an overdamped colloidal particle moving in two dimensions under time-delayed, non-linear feedback control. Specifically, the particle is subject to a force derived from…

软凝聚态物质 · 物理学 2025-03-07 Robin A. Kopp , Sabine H. L. Klapp