Flashing annihilation term of a logistic kinetic as a mechanism leading to Pareto distributions
arXiv:cond-mat/0602491 · doi:10.1103/PhysRevE.77.021130
Abstract
It is shown analytically that the flashing annihilation term of a Verhulst kinetic leads to the power--law distribution in the stationary state. For the frequency of switching slower than twice the free growth rate this provides the quasideterministic source of a Levy noises at the macroscopic level.
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