Brownian Motion in a Classical Ideal Gas: a Microscopic Approach to Langevin's Equation
| dc.creator | Lahiri, Rangan | |
| dc.creator | Arvind | |
| dc.creator | Sain, Anirban | |
| dc.date | 2002-07-10 | |
| dc.date.accessioned | 2026-07-07T02:46:12Z | |
| dc.date.available | 2026-07-07T02:46:12Z | |
| dc.description | We present an insightful ``derivation'' of the Langevin equation and the fluctuation dissipation theorem in the specific context of a heavier particle moving through an ideal gas of much lighter particles. The Newton's Law of motion ($m{\ddot x}=F$) for the heavy particle reduces to a Langevin equation (valid on a coarser time scale) with the assumption that the lighter gas particles follow a Boltzmann velocity distribution. Starting from the kinematics of the random collisions we show that (1) the average force $<F> \propto -{\dot x}$ and (2) the correlation function of the fluctuating force $η= F-< F>$ is related to the strength of the average force. | |
| dc.description | 7 pages revtex4 3 eps figures included using psfig | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0207246 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0207246 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19578 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Physics Education | |
| dc.title | Brownian Motion in a Classical Ideal Gas: a Microscopic Approach to Langevin's Equation | |
| dc.type | text |