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We present an analytical treatment of the dissipative-stochastic dynamics of a charged classical particle confined bi-harmonically in a plane with a uniform static magnetic field directed perpendicular to the plane. The stochastic dynamics…

统计力学 · 物理学 2015-05-30 N. Kumar

It is generally known that the orbital diamagnetism of a classical system of charged particles in thermal equilibrium is identically zero -- the Bohr-van Leeuwen theorem. Physically, this null result derives from the exact cancellation of…

经典物理 · 物理学 2009-07-21 N. Kumar , K. Vijay Kumar

We consider a dilute suspension of active (self-propelling) particles in a visco-elastic fluid. Particles are charged and constrained to move in a two dimensional harmonic trap. Their dynamics is coupled to a constant magnetic field applied…

统计力学 · 物理学 2021-10-04 M Muhsin , M Sahoo , A Saha

We provide an experimental study of the relationship between the action of different classical noises on the dephasing dynamics of a two-level system and the non-Markovianity of the quantum dynamics. The two-level system is encoded in the…

Recently [EPL, 86, (2009) 17001], we had simulated the classical Langevin dynamics of a charged particle on the surface of a sphere in the presence of an externally applied magnetic field, and found a finite value for the orbital…

统计力学 · 物理学 2010-04-14 K. Vijay Kumar , N. Kumar

The non-Markovian nature of quantum systems recently turned to be a key subject for investigations on open quantum system dynamics. Many studies, from its theoretical grounding to its usefulness as a resource for quantum information…

The dynamics of a Brownian particle in a constant magnetic field and time-dependent electric field is studied in the limit of white noise, using a Langevin approach for the classical problem and the path-integral Feynman-Vernon and…

统计力学 · 物理学 2022-06-20 Marco Patriarca , Pasquale Sodano

We analyze the effect of a classical noise into the entanglement dynamics between two particles, initially entangled, subject to continuous time quantum walks in a one-dimensional lattice. The noise is modeled by randomizing the transition…

量子物理 · 物理学 2012-10-12 Paolo Bordone , Fabrizio Buscemi , Claudia Benedetti

We show that the classical Langevin dynamics for a charged particle on a closed curved surface in a time-independent magnetic field leads to the canonical distribution in the long time limit. Thus the Bohr-van Leeuwen theorem holds even for…

统计力学 · 物理学 2010-02-22 Punyabrata Pradhan , Udo Seifert

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

Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-type theories) and microscopic dynamics, we have undertaken a kinetic-theoretical study of the dynamics of a classical test-particle weakly…

统计力学 · 物理学 2009-11-11 I. Kourakis , A. P. Grecos

We investigate the time dependent orbital diamagnetic moment of a charged particle in a magnetic field in a viscous medium via the Quantum Langevin Equation. We study how the interplay between the cyclotron frequency and the viscous damping…

量子物理 · 物理学 2019-07-24 Urbashi Satpathi , Supurna Sinha

The transport of ultra-cold atoms in magneto-optical potentials provides a clean setting in which to investigate the distinct predictions of classical versus quantum dynamics for a system with coupled degrees of freedom. In this system,…

Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for…

量子物理 · 物理学 2023-04-12 Peter Groszkowski , Alireza Seif , Jens Koch , A. A. Clerk

We study Langevin dynamics of a driven charged particle in the presence as well as in the absence of magnetic field. We discuss the validity of various work fluctuation theorems using different model potentials and external drives. We also…

统计力学 · 物理学 2007-05-23 A. M. Jayannavar , Mamata Sahoo

The Bohr-van Leeuwen theorem is often summarized as saying that there is no classical magnetic susceptibility, in particular no diamagnetism. This is seriously misleading. The theorem assumes position dependent interactions but this is not…

经典物理 · 物理学 2015-05-19 Hanno Essen

We investigate the classical problem of motion of a mathematical pendulum with an oscillating pivot. This simple mechanical setting is frequently used as the prime example of a system exhibiting the parametric resonance phenomenon, which…

动力系统 · 数学 2021-12-30 Dalibor Pražák , Vít Průša , Karel Tůma

The celebrated theorem of Bohr and van Leeuwen guarantees that a classical charged system cannot have a magnetization in thermal equilibrium. Quantum mechanically, however, a diamagnetic response is obtained. In contrast, we show here that…

软凝聚态物质 · 物理学 2025-06-04 Balázs Németh , Ronojoy Adhikari

The Bohr - van Leeuwen theorem [1-6] consists in follow paradox: classical statistical ensambles of moving charges in external static magnetic field can't have the induced orbital magnetic moment. I.e., the diamagnetism is not possible. In…

综合物理 · 物理学 2011-05-02 A. N. Pechenkov

Over the last century Bohr van Leuween theorem attracted the notice of physicists. The theorem states about the absence of magnetization in classical systems in thermal equilibrium. In this paper, we discuss about fluctuations of magnetic…

统计力学 · 物理学 2016-09-07 P. S. Pal , Arnab Saha , A. M. Jayannavar
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