Induction time in transient nucleation theory

Vitaly A. Shneidman; Michael C. Weinberg

doi:10.1063/1.462945

Induction time in transient nucleation theory

Vitaly A. Shneidman, Michael C. Weinberg

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57 Scopus citations

Abstract

We derive an exact expression for the induction time associated with the Zeldovich nucleation equation in terms of rapidly convergent integrals. Also, we consider an asymptotic approximation of the exact expression which is obtained in the limit of a high nucleation barrier and derive explicit formulas for several widely employed nucleation models. We demonstrate that analytical results are in excellent agreement with numerical results of the present and previous studies.

Original language	English (US)
Pages (from-to)	3621-3628
Number of pages	8
Journal	The Journal of Chemical Physics
Volume	97
Issue number	5
DOIs	https://doi.org/10.1063/1.462945
State	Published - 1992
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.462945

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title = "Induction time in transient nucleation theory",

abstract = "We derive an exact expression for the induction time associated with the Zeldovich nucleation equation in terms of rapidly convergent integrals. Also, we consider an asymptotic approximation of the exact expression which is obtained in the limit of a high nucleation barrier and derive explicit formulas for several widely employed nucleation models. We demonstrate that analytical results are in excellent agreement with numerical results of the present and previous studies.",

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AU - Shneidman, Vitaly A.

AU - Weinberg, Michael C.

PY - 1992

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N2 - We derive an exact expression for the induction time associated with the Zeldovich nucleation equation in terms of rapidly convergent integrals. Also, we consider an asymptotic approximation of the exact expression which is obtained in the limit of a high nucleation barrier and derive explicit formulas for several widely employed nucleation models. We demonstrate that analytical results are in excellent agreement with numerical results of the present and previous studies.

AB - We derive an exact expression for the induction time associated with the Zeldovich nucleation equation in terms of rapidly convergent integrals. Also, we consider an asymptotic approximation of the exact expression which is obtained in the limit of a high nucleation barrier and derive explicit formulas for several widely employed nucleation models. We demonstrate that analytical results are in excellent agreement with numerical results of the present and previous studies.

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U2 - 10.1063/1.462945

DO - 10.1063/1.462945

M3 - Article

AN - SCOPUS:0001219571

SN - 0021-9606

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SP - 3621

EP - 3628

JO - The Journal of Chemical Physics

JF - The Journal of Chemical Physics

IS - 5

ER -

Induction time in transient nucleation theory

Abstract

All Science Journal Classification (ASJC) codes

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