Relativistic Brownian motion: From a microscopic binary collision model to the Langevin equation

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dc.creatorDunkel, Jörn
dc.creatorHänggi, Peter
dc.date2006-07-04
dc.date2006-09-25
dc.date.accessioned2026-07-07T11:26:16Z
dc.date.available2026-07-07T11:26:16Z
dc.descriptionThe Langevin equation (LE) for the one-dimensional relativistic Brownian motion is derived from a microscopic collision model. The model assumes that a heavy point-like Brownian particle interacts with the lighter heat bath particles via elastic hard-core collisions. First, the commonly known, non-relativistic LE is deduced from this model, by taking into account the non-relativistic conservation laws for momentum and kinetic energy. Subsequently, this procedure is generalized to the relativistic case. There, it is found that the relativistic stochastic force is still $\gd$-correlated (white noise) but does \emph{no} longer correspond to a Gaussian white noise process. Explicit results for the friction and momentum-space diffusion coefficients are presented and discussed.
dc.descriptionv2: Eqs. (17c) and (28) corrected; v3: discussion extended, Eqs. (33) added, thereby connection to earlier work clarified; v4: final version, accepted for publication in Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/cond-mat/0607082
dc.identifierhttp://arxiv.org/abs/cond-mat/0607082
dc.identifierPhys.Rev.E74:051106,2006; Erratum-ibid.E74:069902,2006
dc.identifierdoi:10.1103/PhysRevE.74.051106 10.1103/PhysRevE.74.069902
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195770
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleRelativistic Brownian motion: From a microscopic binary collision model to the Langevin equation
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