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Mobility in a periodic potential: A simple derivation

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  • Gunther, Leon
  • Revzen, Michael
  • Ron, Amiram

Abstract

A simple derivation is given for the mobility of Brownian particles in a periodic potential in the overdamped regime. The method makes use of the fact that the steady state current density, in response to a uniform external force, is uniform in space and can be expressed as a product of the particle density and mean velocity field. To lowest order in the external force, the particle density is given by the equilibrium density in the absence of the external force.

Suggested Citation

  • Gunther, Leon & Revzen, Michael & Ron, Amiram, 1979. "Mobility in a periodic potential: A simple derivation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(2), pages 367-369.
    • Handle: RePEc:eee:phsmap:v:95:y:1979:i:2:p:367-369
    DOI: 10.1016/0378-4371(79)90062-1
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    1. Carvalho, Glauco Rodrigues & Costa, Rafael, "undated". "The Impacts of Compulsory Crop Insurance in the Brazilian Dairy Sector," 2015 Annual Meeting, January 31-February 3, 2015, Atlanta, Georgia 196871, Southern Agricultural Economics Association.
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