One-dimensional nonrelativistic and relativistic Brownian motions: A microscopic collision model

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dc.creatorDunkel, Jörn
dc.creatorHänggi, Peter
dc.date2006-06-19
dc.date2006-07-10
dc.date.accessioned2026-07-07T07:12:45Z
dc.date.available2026-07-07T07:12:45Z
dc.descriptionWe study a simple microscopic model for the one-dimensional stochastic motion of a (non)relativistic Brownian particle, embedded into a heat bath consisting of (non)relativistic particles. The stationary momentum distributions are identified self-consistently (for both Brownian and heat bath particles) by means of two coupled integral criteria. The latter follow directly from the kinematic conservation laws for the microscopic collision processes, provided one additionally assumes probabilistic independence of the initial momenta. It is shown that, in the nonrelativistic case, the integral criteria do correctly identify the Maxwellian momentum distributions as stationary (invariant) solutions. Subsequently, we apply the same criteria to the relativistic case. Surprisingly, we find here that the stationary momentum distributions differ slightly from the standard Jüttner distribution by an additional prefactor proportional to the inverse relativistic kinetic energy.
dc.descriptionversion accepted for publication in Physica A; references added
dc.identifierhttps://arxiv.org/abs/cond-mat/0606487
dc.identifierhttp://arxiv.org/abs/cond-mat/0606487
dc.identifierPhysica A374 (2007) 559-572
dc.identifierdoi:10.1016/j.physa.2006.07.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112181
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleOne-dimensional nonrelativistic and relativistic Brownian motions: A microscopic collision model
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