Violation of adiabatic scaling in the distribution of particles nucleated in a rapid quench

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Abstract

A singular perturbation type analysis is applied to nucleation and growth equations with rapidly changing temperature. It is shown that conventional adiabatic scaling breaks down in a nonanalytical manner for any finite quench rate. An "effective" nucleation rate is introduced, which allows one to reconstruct the nonadiabatic distribution at large sizes. A new, nonadiabatic scaling law for the third moment of the distribution (i.e., volume fraction of the new phase) as a function of the quench rate is proposed and tested for several glass-forming systems.

Original languageEnglish (US)
Pages (from-to)4634-4637
Number of pages4
JournalPhysical Review Letters
Volume75
Issue number25
DOIs
StatePublished - Jan 1 1995
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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