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

Yuhei Yamada, Yoshihiro Yamazaki

    Research output: Contribution to journalArticle


    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
    Issue number4
    Publication statusPublished - 2018 Jan 1


    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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