Flashing annihilation term of a logistic kinetic as a mechanism leading to Pareto distributions

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Scientific paper

10.1103/PhysRevE.77.021130

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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