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Explicit two cycle model in investigation of stochastic effects in diffusion regime of metastable phase decay

2004/10/24 by Victor Kurasov, Kurasov, Victor
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #High Temperature Alloys and Creep #Solidification and crystal growth phenomena #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0410616

61 pages, 24 figures

arxiv created 2004/10/24 · openalex publication_date 2004/10/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The theory for manifestation of stochastic appearance of embryos in the global decay of metastable phase has been constructed. The regime of droplets growth is supposed to be both free molecular one and diffusion one. The deviation for a mean droplets number from the value predicted by the theory based on averaged characteristics have been calculated. The value of dispersion for the distribution of the total droplets number in particular attempt has been also calculated analytically. Comparison with results of numerical simulation has been given and the correspondence between simulation and analytical approximate results is rather good.

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