• Diffusion controlled multiplicative process: typical versus average behaviour

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      https://www.ias.ac.in/article/fulltext/pram/035/05/0461-0471

    • Keywords

       

      Random walk; multiplicative process; fluctuations; reaction kinetics; random growth process; diffusion

    • Abstract

       

      We investigate the dynamics of the number of particles diffusing in a multiplicative medium. We show that the typical behaviour of the growth process is different from the average. We develop a new formalism to study the average growth process and extend it to the calculation of higher moments and finally of the probability distribution. We show that the fluctuations of the growth process increase exponentially with time. We describe the interesting features of the distribution.

    • Author Affiliations

       

      M C Valsakumar1 K P N Murthy1

      1. Theoretical Physics Section, Materials Science Division, Indira Gandhi Centre for Atomic Research, Kalpakkam - 603 102, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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