Dynamics of directed polymers with cutting interactions

Sergei E. Esipov; A. Alan Middleton

doi:10.1103/PhysRevA.45.7288

Dynamics of directed polymers with cutting interactions

Sergei E. Esipov, A. Alan Middleton

Department of Physics

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

Abstract

An equation for the time evolution of the density of directed polymers is derived in the limit of a high rate of cutting. The equilibrium solution is found to be equivalent to that obtained from the transfer-matrix approach for a single directed polymer. For potentials that depend only on the transverse coordinates, the logarithm of the mobility is found to behave as (-U1/2), or barrier height U. Application to the motion of flux lines in superconductors is briefly discussed.

Original language	English (US)
Pages (from-to)	7288-7291
Number of pages	4
Journal	Physical Review A
Volume	45
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevA.45.7288
State	Published - 1992

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.45.7288

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abstract = "An equation for the time evolution of the density of directed polymers is derived in the limit of a high rate of cutting. The equilibrium solution is found to be equivalent to that obtained from the transfer-matrix approach for a single directed polymer. For potentials that depend only on the transverse coordinates, the logarithm of the mobility is found to behave as (-U1/2), or barrier height U. Application to the motion of flux lines in superconductors is briefly discussed.",

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Dynamics of directed polymers with cutting interactions

Abstract

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