Diffusion controlled multiplicative process: typical versus average behaviour |
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| Authors: | M C Valsakumar K P N Murthy |
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| Institution: | (1) Theoretical Physics Section, Materials Science Division, Indira Gandhi Centre for Atomic Research, 603 102 Kalpakkam, India |
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| 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. |
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| Keywords: | Random walk multiplicative process fluctuations reaction kinetics random growth process diffusion |
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