Relaxation mode analysis of nonlinear birth and death processes

作者: Kazuhiro Matsuo

DOI: 10.1007/BF01418750

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摘要: Nonlinear birth and death processes with one variable are considered. The general master equations describing these analyzed in terms of their eigenmodes eigenvalues using the method a WKB approximation. Formulas for density eigenstates obtained. lower lying calculated to investigate long-time relaxation, such as relaxations metastable unstable states. Anomalous accumulation is shown exist when system infinitesimally close critical or marginal state. results obtained applied some instructive examples, kinetic Weiss-Ising model stochastic nonlinear chemical reactions.

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