Toshiya Ohtsuki

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We consider stochastic processes where randomly chosen particles with positive quantities x,y (>0) interact and exchange the quantities asymmetrically by the rule x(') =c [(1-a) x+by] , y(') =d [ax+(1-b) y] (x> or =y) , where (0< or =) a,b (< or =1) and c,d (>0) are interaction parameters. Noninteger power-law tails in the probability distribution function(More)
Temporal evolution of a distribution function P(X,t) for X clusters is analyzed in aggregation-chipping processes, which is a model incorporating simultaneously aggregation and the chipping off of a monomeric unit from a randomly chosen aggregate. Numerical simulations show that P(1,t) exhibits the singular time dependence P(1,t)-P(1,infinity) proportional,(More)
The asymptotic behaviour of a distribution function P(X) for X clusters is investigated in aggregation-chipping processes, where aggregation and chipping off of a finite unit of size less than L take place simultaneously. Numerical simulations show that above a certain threshold <X>c of an average cluster size, the system exhibits partial condensation where(More)
Analytical and numerical studies on many-body stochastic processes with multiplicative interactions are reviewed. The method of moment relations is used to investigate effects of asymmetry and randomness in interactions. Probability distribution functions of the processes generally have similarity solutions with power-law tails. Growth rates of the system(More)
Effects of randomness on non-integer power law tails in multiplicatively interacting stochastic processes are investigated theoretically. Generally, randomness causes decrease of the exponent of tails and the growth rate of processes. Explicit calculations are performed for two examples: uniformly distributed and two peaked systems. Significant influence is(More)
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