On the Diffusion Coefficient: The Einstein Relation and Beyond

DOI10.1081/STM-120023566zbMath1037.60072MaRDI QIDQ4414371

Goran Peskir

Publication date: 24 July 2003

Published in: Stochastic Models (Search for Journal in Brave)

zbMATH Keywords

heat equationFokker-Planck equationBrownian motiondiffusion processinteracting Brownian particlesstochastic integrationdiffusion coefficient

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Heat equation (35K05) Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Partial differential equations of mathematical physics and other areas of application (35Q99) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (1)

On the Einstein-Smoluchowski relation in the framework of generalized statistical mechanics

Cites Work

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• A gas of Brownian particles in statistical dynamics
• Diffusion processes and their sample paths.
• The Soret and Dufour effects in statistical dynamics
• Stochastic integral
• Stochastic Problems in Physics and Astronomy
• Brownian motion in a field of force and the diffusion model of chemical reactions
• On a stochastic integral equation

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