2002/10/28 by Victor Kurasov, V. Kurasov, Kurasov, V.
Computer Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0210618
Latex
arxiv created 2002/10/28 · openalex publication_date 2002/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A system of a metastable phase with several sorts of heterogeneous centers is considered. An analytical theory for the process of decay in such a system has been constructed. The free energy of formation of a critical embryo is assumed to be known in the macroscopic approach. At first all asymptotic cases are investigated and then a general intermediate solution is suggested. All approximate transformations are accomplished with the corresponding numerical estimates and analytical justifications. This is the first part of the manuscript, the second part is cond-mat/0210619 .