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We study the consequences of adopting the memory dependent, non-Markovian, physics with the memory-less over-damped approximation usually employed to investigate Brownian particles. Due to the finite correlation time scale associated with…

统计力学 · 物理学 2019-02-05 Eduardo dos S. Nascimento , Welles A. M. Morgado

We investigate the stochastic behavior of a two-temperature Langevin system with non-Markovian thermal reservoirs. The model describes an overdamped Brownian particle in a quadratic potential and coupled to heat baths at different…

统计力学 · 物理学 2020-02-20 Eduardo dos S. Nascimento , Welles A. M. Morgado

The steady state of a Langevin equation with short ranged memory and coloured noise is analyzed. When the fluctuation-dissipation theorem of second kind is not satisfied, the dynamics is irreversible, i.e. detailed balance is violated. We…

统计力学 · 物理学 2015-05-13 Andrea Puglisi , Dario Villamaina

We discuss the two-dimensional motion of a Brownian particle that is confined to a harmonic trap and driven by a shear flow. The surrounding medium induces memory effects modelled by a linear, typically nonreciprocal coupling of the…

统计力学 · 物理学 2024-04-26 Lea Fernandez , Siegfried Hess , Sabine H. L. Klapp

We study the thermodynamics of a Brownian particle under the influence of a time multiplexed harmonic potential of finite width. The memory storage mechanism and the erasure protocol realized by time multiplexed potentials are utilized to…

统计力学 · 物理学 2017-06-28 Saurav Talukdar , Shreyas Bhaban , Murti V. Salapaka

The generalized Langevin equation with an exponential kernel is used to analyze memory effects on the optimal work done by a Brownian particle in a heat bath and subjected to a harmonic moving potential. The generalized overdamping scenario…

统计力学 · 物理学 2023-02-03 Pedro J. Colmenares

Non-Markovian dynamics arise when a system is coupled to a bath with finite correlation time, giving rise to memory effects that allow the bath to temporarily store and return excitations. However, how memory modifies irreversibility and…

统计力学 · 物理学 2026-04-29 Ken Funo , Tan Van Vu , Keiji Saito

We study the effect of temporal correlation in a Langevin equation describing non-adiabatic dynamics at metal surfaces. For a harmonic oscillator the Langevin equation preserves the quantum dynamics exactly and it is demonstrated that…

材料科学 · 物理学 2010-10-07 Thomas Olsen , Jakob Schiøtz

The transport of individual particles in inhomogeneous environments is complex and exhibits non-Markovian responses. The latter may be quantified by a memory function within the framework of the linear generalised Langevin equation (GLE).…

软凝聚态物质 · 物理学 2024-07-08 Arthur V. Straube , Felix Höfling

Analysis of non-Markovian systems and memory induced phenomena poses an everlasting challenge for physics. As a paradigmatic example we consider a classical Brownian particle of mass $M$ subjected to an external force and exposed to…

统计力学 · 物理学 2024-05-21 Mateusz Wiśniewski , Jerzy Łuczka , Jakub Spiechowicz

We study a Langevin-like model which describes an inertial particle in a one-dimensional harmonic potential and subjected to two heat baths and one athermal environment. The thermal noises are white and Gaussian, and the temperatures of…

统计力学 · 物理学 2022-09-21 E. S. Nascimento , W. A. M. Morgado

We analyze non-Markovian memory effects displayed by the quantum Brownian motion modelled as quantum harmonic oscillators coupled to a bath consisting of harmonic oscillators. We study the time evolution of fidelity, Petz-R\'enyi relative…

量子物理 · 物理学 2023-06-14 Samaneh Hesabi , Anindita Bera , Dariusz Chruściński

We investigate the impact of intermittent energy injections on a Brownian particle, modeled as stochastic renewals of its kinetic energy to a fixed value. Between renewals, the particle follows standard underdamped Langevin dynamics. For…

统计力学 · 物理学 2025-06-11 Ion Santra , Kristian Stølevik Olsen

Memory effects, sometimes, can not be neglected. In the framework of continuous time random walk, memory effect is modeled by the correlated waiting times. In this paper, we derive the two-point probability distribution of the stochastic…

统计力学 · 物理学 2019-01-23 Yao Chen , Xudong Wang , Weihua Deng

We develop the thermodynamics of non-Markovian generalized Langevin equations by embedding them in a high-dimensional Markovian representation involving auxiliary degrees of freedom. If the memory is linear and satisfies detailed balance…

统计力学 · 物理学 2026-04-29 Andreas Dechant , Kiyoshi Kanazawa

A dynamics between Newton and Langevin formalisms is elucidated within the framework of the generalized Langevin equation. For thermal noise yielding a vanishing zero-frequency friction the corresponding non-Markovian Brownian dynamics…

统计力学 · 物理学 2007-07-23 Jing-Dong Bao , Yi-Zhong Zhuo , Fernando A. Oliveira , Peter Hanggi

Generative diffusion models have emerged as powerful tools for sampling high-dimensional distributions, yet they typically rely on white gaussian noise and noise schedules to destroy and reconstruct information. Here, we demonstrate that…

We show that memory, feedback, and activity are all describable by the same unifying concept, that is non-reciprocal (NR) coupling. We demonstrate that characteristic thermodynamic features of these intrinsically nonequilibrium systems are…

统计力学 · 物理学 2019-10-21 Sarah A. M. Loos , Simon M. Hermann , Sabine H. L. Klapp

To describe the spatial trajectory of an overdamped Brownian particle, inertial effects can be neglected. Yet, at the energetic level of stochastic thermodynamics, changes in kinetic energy must be considered to accurately predict the heat…

统计力学 · 物理学 2024-08-30 Pedro V. Paraguassú , Rui Aquino , Pablo de Castro

The underdamped, non-linear, generalized Langevin equation is widely used to model coarse-grained dynamics of soft and biological materials. By means of a projection operator formalism, we show under which approximations this equation can…

软凝聚态物质 · 物理学 2022-02-04 Fabian Glatzel , Tanja Schilling
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