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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…

Classical Physics · Physics 2009-07-21 N. Kumar , K. Vijay Kumar

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…

Statistical Mechanics · Physics 2010-04-14 K. Vijay Kumar , N. Kumar

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…

Statistical Mechanics · Physics 2010-02-22 Punyabrata Pradhan , Udo Seifert

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…

Classical Physics · Physics 2015-05-19 Hanno Essen

The well known Bohr-van Leeuwen Theorem states that the orbital diamagnetism of classical charged particles is identically zero in equilibrium. However, results based on real space-time approach using the classical Langevin equation…

Statistical Mechanics · Physics 2015-05-14 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

Classical plasmas in thermodynamic equilibrium should be neither para- nor diamagnetic due to the action of the Lorentz force. Magnetic confinement, however, is based on the observed diamagnetism of laboratory plasmas. The apparent paradox…

Plasma Physics · Physics 2015-06-26 Wolfgang Engelhardt

The strongly damping-dependent nonlinear dynamical response of classical superparamagnets is investigated by means of an analytical approach. Using rigorous balance equations for the spin occupation numbers a simple approximate expression…

Statistical Mechanics · Physics 2007-05-23 J. L. Garcia-Palacios , D. A. Garanin

We report the results of our numerical simulation of classical-dissipative dynamics of a charged particle subjected to a non-markovian stochastic forcing. We find that the system develops a steady-state orbital magnetic moment in the…

Statistical Mechanics · Physics 2017-09-25 Avinash A. Deshpande , N. Kumar

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…

Statistical Mechanics · Physics 2016-09-07 P. S. Pal , Arnab Saha , A. M. Jayannavar

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…

Soft Condensed Matter · Physics 2025-08-15 Vladimir Lisy , Jan Busa , Jana Tothova

A macroscopic equation of motion for the magnetization of a ferromagnet at elevated temperatures should contain both transverse and longitudinal relaxation terms and interpolate between Landau-Lifshitz equation at low temperatures and the…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin

The original formulation of the Bohr-van Leeuwen (BvL) theorem states that, in a uniform magnetic field and in thermal equilibrium, the magnetization of an electron gas in the classical Drude-Lorentz model vanishes identically. This stems…

Mathematical Physics · Physics 2018-11-30 Baptiste Savoie

We study the restricted motion of an electric charge in a spherical surface in the field of a magnetic dipole. This is the classical non-relativistic St\"oermer problem within a sphere, with the dipole in its centre. We start from a…

Classical Physics · Physics 2013-01-14 Emilio Cortés , D Cortés-Poza

The magnetization for electrons on a two-dimensional sphere, under a spherically symmetrical normal magnetic field has been studied in the large field limit. This allows us to use an Euclidean approximation for low energies electron states…

Mathematical Physics · Physics 2007-05-23 Cesar Castilho , Andre Penna-Firme

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…

Statistical Mechanics · Physics 2015-05-30 N. Kumar

We show that it is possible to obtain self-consistent and physically acceptable relativistic classical equations of motion for a point-like spin-half particle possessing an electric charge and a magnetic dipole moment, directly from a…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Costella , Bruce H. J. McKellar

Quantum mechanics of bending of a nonrelativistic monoenergetic charged particle beam by a dipole magnet is studied in the paraxial approximation. The transfer map for the position and momentum components of a particle of the beam between…

Quantum Physics · Physics 2020-04-22 Sameen Ahmed Khan , Ramaswamy Jagannathan

When considering magnetic systems in the thermodynamic limit and at low enough temperature, one finds typically magnetically ordered phases. In contrast, in the high-temperature regime, the interactions between the spin degrees of freedom…

Strongly Correlated Electrons · Physics 2025-01-27 Sylvain Capponi

The confinement mechanism proposed earlier and then applied successfully to meson spectroscopy by one of the authors is interpreted in classical terms. For this aim the unique solution of the Maxwell equations, an analog of the…

High Energy Physics - Theory · Physics 2014-11-20 Yu. P. Goncharov , N. E. Firsova

An effective description is presented for a Brownian particle in a magnetized plasma. In order to systematically capture various corrections to linear Langevin equation, we construct effective action for the Brownian particle, to quartic…

High Energy Physics - Theory · Physics 2022-10-06 Yanyan Bu , Biye Zhang , Jingbo Zhang
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