Affordable Access

Solution of Kramers' problem for a moderately to heavily damped elastic string.

Authors
Type
Published Article
Journal
Physical review. E, Statistical, nonlinear, and soft matter physics
Publication Date
Volume
65
Issue
1 Pt 2
Pages
16106–16106
Identifiers
PMID: 11800735
Source
Medline
License
Unknown

Abstract

We obtain the nucleation rate of critical droplets for an elastic string moving in a double-well potential and subject to noise and damping forces. We obtain this rate for a class of potentials that includes both the asymmetric straight phi(4) and the straight phi(6) potentials. The frequencies of small oscillations about the critical droplet are obtained from a Heun equation. We solve the Fokker-Planck equation for the phase-space probability density by projecting onto the eigenfunction basis. We present a comparison with simulations for the case of the asymmetric straight phi(4) potential.

Statistics

Seen <100 times