Brownian motion with linear and quadratic friction

Authors

James N. Vance National Institute of Physics, University of the Philippines Diliman
Jose Perico Esguerra National Institute of Physics, University of the Philippines Diliman

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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Issue

2013: Proceedings of the 31st Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2013-4C-7

Section

Complex Systems

Published

2013-10-23

How to Cite

[1]

JN Vance and JP Esguerra, Brownian motion with linear and quadratic friction, Proceedings of the Samahang Pisika ng Pilipinas 31, SPP2013-4C-7 (2013). URL: https://proceedings.spp-online.org/article/view/SPP2013-4C-7.