A simple model for Brownian motion leading to the Langevin equation

B.G. de Grooth

doi:10.1119/1.19111

A simple model for Brownian motion leading to the Langevin equation

B.G. de Grooth

Faculty of Science and Technology

Research output: Contribution to journal › Article › Academic › peer-review

26 Citations (Scopus)

65 Downloads (Pure)

Abstract

A simple one-dimensional model is presented for the motion of a Brownian particle. It is shown how the collisions between a Brownian particle and its surrounding molecules lead to the Langevin equation, the power spectrum of the stochastic force, and the equipartition of kinetic energy.

Original language	Undefined
Pages (from-to)	1248-1252
Number of pages	5
Journal	American journal of physics
Volume	67
Issue number	12
DOIs	https://doi.org/10.1119/1.19111
Publication status	Published - 2000

Keywords

METIS-128417
IR-80290

Access to Document

10.1119/1.19111

Cite this

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AB - A simple one-dimensional model is presented for the motion of a Brownian particle. It is shown how the collisions between a Brownian particle and its surrounding molecules lead to the Langevin equation, the power spectrum of the stochastic force, and the equipartition of kinetic energy.

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KW - IR-80290

U2 - 10.1119/1.19111

DO - 10.1119/1.19111

M3 - Article

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JF - American journal of physics

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