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.
CITATION STYLE
de Grooth, B. G. (1999). A simple model for Brownian motion leading to the Langevin equation. American Journal of Physics, 67(12), 1248–1252. https://doi.org/10.1119/1.19111
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