Continuous approximation of a random walk

V. A. Shneidman, P. Hänggi

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We consider the problem of nucleation affected by pre-existing nuclei which can be treated as a one-step random process described by a nonlinear master equation (ME). We construct a nontrivial time-dependent expression for the flux of nucleated particles and demonstrate that in the sense of a specific criterion-the time lag of transient nucleation-this expression satisfies the ME with asymptotic accuracy. A Fokker-Planck approximation to the ME which describes correctly both nucleation and growth is also constructed.

Original languageEnglish (US)
Pages (from-to)894-897
Number of pages4
JournalPhysical Review E
Issue number1
StatePublished - 1994
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


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