Bounds on the diffusion constant for the Rubinstein-Duke model of electrophoresis

M. Prähofer and H. Spohn

Physica A: Statistical Mechanics and its Applications, 1996, vol. 233, issue 1, 191-207

Abstract: We prove bounds on the diffusion constant for the Rubinstein-Duke model by means of a variational formula. The leading term decreases quadratically with the length of the polymer chain. The coefficient of proportionality agrees with the one for the model with periodic boundary conditions. The next leading term is anomalous. Upper and lower bounds on the corresponding scaling exponent are given.

Keywords: Reptation; Random processes; Electrophoresis (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:233:y:1996:i:1:p:191-207

DOI: 10.1016/S0378-4371(96)00226-9

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