Intrawell relaxation of overdamped brownian particles

Martin Bier, Imre Derényi, Marcin Kostur, R. Dean Astumian

Research output: Contribution to journalArticle

75 Citations (Scopus)


We consider an overdamped Brownian particle in a well. When the particle escapes, it does so as an instanton, i.e., in one run and without dwelling anywhere on the way from the bottom of the well to the top of the barrier. For a sufficiently steep slope the instanton time equals the time it takes the particle to deterministically slide down the same slope. We show that the instanton time is also the relaxation time for the escape rate after the barrier changes shape.

Original languageEnglish
Pages (from-to)6422-6432
Number of pages11
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number6
Publication statusPublished - Jan 1 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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