Time-dependent nucleation rate

Yoshiyuki Saito; Minoru Honjo; Tetsuji Konishi; Akihiko Kitada

Time-dependent nucleation rate

Yoshiyuki Saito^*, Minoru Honjo, Tetsuji Konishi, Akihiko Kitada

^*Corresponding author for this work

Waseda University

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This paper deals with a method of describing the asymptotic behaviour of the Fokker-Planck equation. The nucleation rate, J(t), approaches a steady state as J(t) = J_s[1 - exp(-t/t_lag)] with 1/(6.3a(l_c)Z²) ≥ t_lag ≥ 1/(12.0a(l_c)Z²), where J_s is the steady state nucleation rate, Z is the Zeldvitch factor and a(l_c) the rate at which monomers are absorbed by a cluster with critical size l_c. This result agrees with the numerical calculation by Kanne-Dannetschek and Stauffe and the prevoius theory.

Original language	English
Pages (from-to)	3304-3307
Number of pages	4
Journal	Journal of the Physical Society of Japan
Volume	69
Issue number	10
Publication status	Published - 2000 Oct

Keywords

Asymptotic behaviour
Becker-Döring theory
Fokker-Planck equation
Nucleation
Time lag

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

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title = "Time-dependent nucleation rate",

abstract = "This paper deals with a method of describing the asymptotic behaviour of the Fokker-Planck equation. The nucleation rate, J(t), approaches a steady state as J(t) = Js[1 - exp(-t/tlag)] with 1/(6.3a(lc)Z2) ≥ tlag ≥ 1/(12.0a(lc)Z2), where Js is the steady state nucleation rate, Z is the Zeldvitch factor and a(lc) the rate at which monomers are absorbed by a cluster with critical size lc. This result agrees with the numerical calculation by Kanne-Dannetschek and Stauffe and the prevoius theory.",

keywords = "Asymptotic behaviour, Becker-D{\"o}ring theory, Fokker-Planck equation, Nucleation, Time lag",

author = "Yoshiyuki Saito and Minoru Honjo and Tetsuji Konishi and Akihiko Kitada",

year = "2000",

month = oct,

language = "English",

volume = "69",

pages = "3304--3307",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

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TY - JOUR

T1 - Time-dependent nucleation rate

AU - Saito, Yoshiyuki

AU - Honjo, Minoru

AU - Konishi, Tetsuji

AU - Kitada, Akihiko

PY - 2000/10

Y1 - 2000/10

N2 - This paper deals with a method of describing the asymptotic behaviour of the Fokker-Planck equation. The nucleation rate, J(t), approaches a steady state as J(t) = Js[1 - exp(-t/tlag)] with 1/(6.3a(lc)Z2) ≥ tlag ≥ 1/(12.0a(lc)Z2), where Js is the steady state nucleation rate, Z is the Zeldvitch factor and a(lc) the rate at which monomers are absorbed by a cluster with critical size lc. This result agrees with the numerical calculation by Kanne-Dannetschek and Stauffe and the prevoius theory.

AB - This paper deals with a method of describing the asymptotic behaviour of the Fokker-Planck equation. The nucleation rate, J(t), approaches a steady state as J(t) = Js[1 - exp(-t/tlag)] with 1/(6.3a(lc)Z2) ≥ tlag ≥ 1/(12.0a(lc)Z2), where Js is the steady state nucleation rate, Z is the Zeldvitch factor and a(lc) the rate at which monomers are absorbed by a cluster with critical size lc. This result agrees with the numerical calculation by Kanne-Dannetschek and Stauffe and the prevoius theory.

KW - Asymptotic behaviour

KW - Becker-Döring theory

KW - Fokker-Planck equation

KW - Nucleation

KW - Time lag

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M3 - Article

AN - SCOPUS:0034555512

SN - 0031-9015

VL - 69

SP - 3304

EP - 3307

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 10

ER -

Time-dependent nucleation rate

Abstract

Keywords

ASJC Scopus subject areas

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