Asymmetric potentials and motor effect: a homogenization approach |
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| Authors: | Benoî t Perthame,Panagiotis E. Souganidis |
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| Affiliation: | 1. Université Pierre et Marie Curie–Paris 6, and Institute Universitaire de France, CNRS, UMR 7598 LJLL, BC187, 4, place Jussieu, 75252 Paris 5, France;2. The University of Texas at Austin, Department of Mathematics, 1, University Station – C1200, Austin, TX 78712-0257, USA |
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| Abstract: | ![]()
We provide a mathematical analysis for the appearance of motor effects, i.e., the concentration (as Dirac masses) at one side of the domain, for the solution of a Fokker–Planck system with two components, one with an asymmetric potential and diffusion and one with pure diffusion. The system has been proposed as a model for motor proteins moving along molecular filaments. Its components describe the densities of different conformations of proteins. |
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| Keywords: | 35B25 35B27 49L25 92C05 |
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