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We derive the nonequilibrium transient state work fluctuation theorem and also the Jarzynski equality for a classical harmonic oscillator linearly coupled to a harmonic heat bath, which is dragged by an external agent. Coupling with the…

统计力学 · 物理学 2012-07-09 Rajarshi Chakrabarti

In this paper, we discuss some aspects of the energetics of a quantum Brownian particle placed in a harmonic trap, also known as the dissipative quantum oscillator. Based on the fluctuation-dissipation theorem, we analyze two distinct…

量子物理 · 物理学 2023-10-06 Aritra Ghosh , Jasleen Kaur , Malay Bandyopadhyay

The work fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally. For the work both the transient and stationary state fluctuation theorems hold. The…

Stochastic dynamics in the energy representation is employed as a method to study non-equilibrium Brownian-like systems. It is shown that the equation of motion for the energy of such systems can be taken in the form of the Langevin…

统计力学 · 物理学 2015-05-18 Bohdan I. Lev , Alexei D. Kiselev

Rotating equilibrated systems are widespread, but relatively little attention has been devoted to studying them from the first principles of statistical mechanics. We fill this gap by studying a Brownian particle coupled with a thermal bath…

统计力学 · 物理学 2025-11-19 Ashot Matevosyan , Armen E. Allahverdyan

This review provides a brief and quick introduction to the quantum Langevin equation for an oscillator, while focusing on the steady-state thermodynamic aspects. A derivation of the quantum Langevin equation is carefully outlined based on…

统计力学 · 物理学 2024-07-19 Aritra Ghosh , Malay Bandyopadhyay , Sushanta Dattagupta , Shamik Gupta

We apply the concept of a frequency-dependent effective temperature based on the fluctuation-dissipation ratio to a driven Brownian particle in a nonequilibrium steady state. Using this system as a thermostat for a weakly coupled harmonic…

统计力学 · 物理学 2017-06-07 Robert Wulfert , Michael Oechsle , Thomas Speck , Udo Seifert

A Brownian harmonic oscillator, which dissipates energy either by friction or via emission of electromagnetic radiation, is considered. This Brownian emitter is driven by the surrounding thermo-quantum fluctuations, which are theoretically…

量子物理 · 物理学 2016-06-17 R. Tsekov

We consider an open (Brownian) classical harmonic oscillator in contact with a non-Markovian thermal bath and described by the generalized Langevin equation. When the bath's spectrum has a finite upper cutoff frequency, the oscillator may…

统计力学 · 物理学 2022-02-02 Alex V. Plyukhin

The work fluctuations of an oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally and theoretically within the context of Fluctuation Theorems (FTs). The oscillator dynamics is…

Brownian dynamics simulations are used to study the detachment of a particle from a substrate. Although the model is simple and generic, we attempt to map its energy, length and time scales onto a specific experimental system, namely a bead…

软凝聚态物质 · 物理学 2021-01-08 Emma Hodges , B. M. Cooke , E. M. Sevick , Debra J. Searles , B. Duenweg , J. Ravi Prakash

Recent results on the stationary state Fluctuation Theorems for work and heat fluctuations of Langevin systems are presented. The relevance of finite time corrections in understanding experimental and simulation results is explained in the…

统计力学 · 物理学 2007-07-31 E. G. D. Cohen , Ramses van Zon

Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of non-interacting oscillators. We follow a non-perturbative approach, proposed earlier by us for the free Brownian particle. The…

量子物理 · 物理学 2013-05-29 Jishad Kumar , S. Sinha , P. A. Sreeram

The Brownian motion of a particle immersed in a medium of charged particles is considered when the system is placed in magnetic or electric fields. Coming from the Zwanzig-Caldeira-Legget particle-bath model, we modify it so that not only…

统计力学 · 物理学 2020-09-24 Vladimir Lisy , Jana Tothova

Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider…

统计力学 · 物理学 2007-05-23 Sylvain Joubaud , Nicolas B. Garnier , Sergio Ciliberto

We derive general expressions for the free energy, entropy production and entropy extraction rates for a Brownian particle that walks in a viscous medium where the dynamics of its motion is governed by the Langevin equation. It is shown…

统计力学 · 物理学 2016-09-14 Mesfin Asfaw Taye

We exactly analyze the vibrational properties of a chain of harmonic oscillators in contact with local Langevin heat baths. Nonequilibrium steady-state fluctuations are found to be described by a set of mode-temperatures, independent of the…

统计力学 · 物理学 2017-06-13 Gianmaria Falasco , Marco Baiesi , Leo Molinaro , Livia Conti , Fulvio Baldovin

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 energetics of a Brownian heat engine and heat pump driven by position dependent temperature, known as the B\"uttiker-Landauer heat engine and heat pump, is investigated by numerical simulations of the inertial Langevin equation. We…

统计力学 · 物理学 2014-06-03 Ronald Benjamin

We study experimentally and numerically the dynamics of colloidal beads confined by a harmonic potential in a bath of swimming E. coli bacteria. The resulting dynamics is well approximated by a Langevin equation for an overdamped oscillator…

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