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The Bohr-van Leeuwen (BvL) theorem, stating the absence of classical magnetization in equilibrium, a fundamental result in the field of magnetic phenomena, was originally proved for an electron gas. In the present work, we deal with the…

软凝聚态物质 · 物理学 2025-08-15 Vladimir Lisy , Jan Busa , Jana Tothova

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

The Bohr-Van Leeuwen theorem states that an external static magnetic field does not influence the state of a classical equilibrium system: there is no equilibrium classical magnetism, since the magnetic field does not do work. We revisit…

统计力学 · 物理学 2023-07-07 Ashot Matevosyan , Armen E. Allahverdyan

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

The study of decoherence plays a key role in our understanding of the transition from the quantum to the classical world. Typically, one considers a system coupled to an external bath which forms a model for an open quantum system. While…

量子物理 · 物理学 2024-04-24 Suraka Bhattacharjee , Koushik Mandal , Supurna Sinha

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

We study the Quantum Brownian motion of a charged particle moving in a harmonic potential in the presence of an uniform external magnetic field and linearly coupled to an Ohmic bath through momentum variables. We analyse the growth of the…

统计力学 · 物理学 2022-08-31 Suraka Bhattacharjee , Urbashi Satpathi , Supurna Sinha

We propose a new look at the heat bath for two Brownian particles, in which the heat bath as a `system' is both perturbed and sensed by the Brownian particles. Non-local thermal fluctuation give rise to bath-mediated static forces between…

统计力学 · 物理学 2015-06-17 Caterina De Bacco , Fulvio Baldovin , Enzo Orlandini , Ken Sekimoto

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

When the density of the fluid surrounding suspended Brownian particles is appreciable, in addition to the forces appearing in the traditional Ornstein and Uhlenbeck theory of Brownian motion, additional forces emerge as the displaced fluid…

软凝聚态物质 · 物理学 2021-08-19 Nicos Makris

The study of the Brownian motion of a charged particle in electric and magnetic fields fields has many important applications in plasma and heavy ions physics, as well as in astrophysics. In the present paper we consider the electromagnetic…

高能天体物理现象 · 物理学 2016-03-25 Tiberiu Harko , Gabriela Mocanu

The Brownian motion of a quantum particle in a harmonic confining potential and coupled to a harmonic quantum thermal bath is exactly solvable. It is shown that at low enough temperatures the stationary state is non-Gibbsian due to an…

统计力学 · 物理学 2007-05-23 Th. M. Nieuwenhuizen , A. E. Allahverdyan

The Brownian motion of a harmonically bound quantum particle and coupled to a harmonic quantum bath is exactly solvable. At low enough temperatures the stationary state is non-Gibbsian due to an entanglement with the bath. This happens when…

统计力学 · 物理学 2009-11-07 Theo M. Nieuwenhuizen , Armen E. Allahverdyan

We provide insights into energetics of a Brownian oscillator in contact with a heat bath and driven by an external unbiased time-periodic force that takes the system out of thermodynamic equilibrium. Solving the corresponding Langevin…

统计力学 · 物理学 2018-03-06 Mohammad Yaghoubi , M. Ebrahim Foulaadvand , Antoine Bérut , Jerzy Łuczka

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

The behavior of a heavy tagged intruder immersed in a bath of particles evolving under ballistic annihilation dynamics is investigated. The Fokker-Planck equation for this system is derived and the peculiarities of the corresponding…

统计力学 · 物理学 2009-01-07 M. I. Garcia de Soria , P. Maynar , E. Trizac

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

量子物理 · 物理学 2011-07-05 D. M. Valente , A. O. Caldeira

We develop a theoretical framework to study the effective dynamics of a tracer immersed in a nonequilibrium bath consisting of active particles. By using a mean-field approximation and extending the linearized Dean equation to…

统计力学 · 物理学 2021-10-04 Mengkai Feng , Zhonghuai Hou

Magnetic nanoparticles are useful in many medical applications because they interact with biology on a cellular level thus allowing microenvironmental investigation. An enhanced understanding of the dynamics of magnetic particles may lead…

介观与纳米尺度物理 · 物理学 2014-03-26 Daniel B Reeves , John B Weaver

Numerical algorithms are proposed for simulating the Brownian dynamics of charged particles in an external magnetic field, taking into account the Brownian motion of charged particles, damping effect and the effect of magnetic field…

计算物理 · 物理学 2009-05-21 L. J. Hou , Z. L. Mišković , A. Piel , P. K. Shukla
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