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

✍ Scribed by Dunkel, Jörn; Hänggi, Peter


Book ID
111910770
Publisher
The American Physical Society
Year
2006
Tongue
English
Weight
172 KB
Volume
74
Category
Article
ISSN
1063-651X

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📜 SIMILAR VOLUMES


One-dimensional non-relativistic and rel
✍ Jörn Dunkel; Peter Hänggi 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 235 KB

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 parti

From microscopic to macroscopic models:
✍ A. Bellouquid 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 672 KB

This paper deals with the asymptotic analysis of the Broadwell model towards the wave equation. Appropriately scaled solutions of the Broadwell model are shown to have fluctuations that locally in time converge weakly to a limit governed by a solution of wave equations provided that the initial fluc