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

Authors
  • Graham, A J
  • Kerr, W C
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Jan 01, 2002
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.

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