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

Yuhei Yamada, Yoshihiro Yamazaki

Research output: Contribution to journalArticlepeer-review

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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