کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
978275 933270 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
One-dimensional non-relativistic and relativistic Brownian motions: a microscopic collision model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
One-dimensional non-relativistic and relativistic Brownian motions: a microscopic collision model
چکیده انگلیسی

We 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 non-relativistic 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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 374, Issue 2, 1 February 2007, Pages 559–572
نویسندگان
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