Brownian motion with linear and quadratic friction

Authors

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