Brownian motion with linear and quadratic friction
Abstract
We study Brownian motion in a medium in which a frictional force varying quadratically as the velocity acts on the particle. We solve the approximate time-dependent propagator by obtaining the eigenfunctions and eigenvalues of the Fokker-Planck equation using Riccati-Pad ́e method. High noise limit resulted in dominance of quadratic friction with eigen-states related to a potential studied in supersymmetric quantum mechanics.
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Physics linkfest: Spanning science & technology
23-25 October 2013, University of San Carlos, Cebu City