Langevin dynamics in crossed magnetic and electric fields: Hall and diamagnetic fluctuations

Roy, Dibyendu ; Kumar, N. (2008) Langevin dynamics in crossed magnetic and electric fields: Hall and diamagnetic fluctuations Physical Review E, 78 (5). 052102_1-052102_4. ISSN 1063-651X

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Official URL: http://pre.aps.org/abstract/PRE/v78/i5/e052102

Related URL: http://dx.doi.org/10.1103/PhysRevE.78.052102

Abstract

Based on the classical Langevin equation, we have revisited the problem of orbital motion of a charged particle in two dimensions for a normal magnetic field crossed with or without an in-plane electric bias. We are led to two interesting fluctuation effects: First, we obtain not only a longitudinal 'work-fluctuation' relation as expected for a barotropic type system, but also a transverse work-fluctuation relation perpendicular to the electric bias. This 'Hall fluctuation' involves the product of the electric and the magnetic fields. Second, for the case of harmonic confinement without bias, the calculated probability density for the orbital magnetic moment gives nonzero even moments, not derivable as field derivatives of the classical free energy.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:18303
Deposited On:17 Nov 2010 12:49
Last Modified:17 May 2016 03:02

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