The Physical Brownian Motion: Diffusion And Noise

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This chapter reviews the elementary phenomenology of diffusion and Fick’s derivation of the diffusion equation. It recounts Einstein’s theory that connects diffusion with the Brownian motion and Langevin’s extension of that theory. It presents the early mathematical theories of the Brownian motion.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages1-24
Number of pages24
DOIs
StatePublished - 2010

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume170
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Keywords

  • Brownian Motion
  • Brownian Particle
  • Colored Noise
  • Uhlenbeck Process
  • White Noise

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