Nucleation and growth with periodic modulation: Asymptotic versus exact results

V. A. Shneidman, P. Hänggi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We consider the nucleation and growth of cavities in a metastable viscous liquid with a periodically modulated pressure. Growth is described from the continuity equation with a source of supercritical nuclei. The solution is matched in an asymptotically smooth manner with the solution of the time-dependent Fokker-Planck equation describing nucleation. It is shown that as a function of the driving frequency the time-dependent flux of nuclei undergoes a characteristic transition. The transition marks the abrupt breakaway from the adiabatic regime. An exactly solvable model of nucleation and growth is introduced which confirms the asymptotic analysis.

Original languageEnglish (US)
Pages (from-to)641-648
Number of pages8
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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