Thermal decay of a metastable state: Exact solution

M. Gitterman

Research output: Contribution to journalArticlepeer-review


The Laplace transform method was used to obtain exact solutions for the thermal decay of a metastable state for two different forms of potential. The exact inverse Laplace transforms were found for a symmetric case and the results were compared with the Kramers rate. The Focker-Planck equation was solved exactly for two types of metastable states, characterized by asymptotic partial decay.

Original languageEnglish
Article number011104
Pages (from-to)111041-111046
Number of pages6
JournalPhysical Review E
Issue number1 1
StatePublished - Jan 2003


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