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

M. Prähofer; H. Spohn

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

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

M. Prähofer, H. Spohn

University of Munich

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

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.

Original language	English
Pages (from-to)	191-207
Number of pages	17
Journal	Physica A: Statistical Mechanics and its Applications
Volume	233
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-4371(96)00226-9
State	Published - 15 Nov 1996
Externally published	Yes

Keywords

Electrophoresis
Random processes
Reptation

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10.1016/S0378-4371(96)00226-9

Cite this

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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.",

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AU - Spohn, H.

PY - 1996/11/15

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N2 - 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.

AB - 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.

KW - Electrophoresis

KW - Random processes

KW - Reptation

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DO - 10.1016/S0378-4371(96)00226-9

M3 - Article

AN - SCOPUS:0030288599

SN - 0378-4371

VL - 233

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EP - 207

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

ER -

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

Abstract

Keywords

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