Entropic forces in Brownian motion
Abstract
Interest in the concept of entropic forces has risen considerably since Verlinde proposed in 2011 to interpret the force in Newton's second law and gravity as entropic forces. Brownian motion—the motion of a small particle (pollen) driven by random impulses from the surrounding molecules—may be the first example of a stochastic process in which such forces are expected to emerge. In this article, it is shown that at least two types of entropic force can be identified in threedimensional Brownian motion. This analysis yields simple derivations of known results of Brownian motion, Hooke's law, and—applying an external (nonradial) force—Curie's law and the LangevinDebye equation.
 Publication:

American Journal of Physics
 Pub Date:
 December 2014
 DOI:
 10.1119/1.4894381
 arXiv:
 arXiv:1310.4139
 Bibcode:
 2014AmJPh..82.1161R
 Keywords:

 Physics  General Physics
 EPrint:
 11 pages, 1 figure