Transient properties of probability distribution for a Markov process with size-dependent additive noise

Yuhei Yamada, Yoshihiro Yamazaki

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    Abstract

    This study considered a stochastic model for cluster growth in a Markov process with a cluster size dependent additive noise. According to this model, the probability distribution of the cluster size transiently becomes an exponential or a log-normal distribution depending on the initial condition of the growth. In this letter, a master equation is obtained for this model, and derivation of the distributions is discussed.

    Original languageEnglish
    Article number043001
    JournalJournal of the Physical Society of Japan
    Volume87
    Issue number4
    DOIs
    Publication statusPublished - 2018 Jan 1

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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