Flashing annihilation term of a logistic kinetic as a mechanism leading to Pareto distributions
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2006
- DOI:
- arXiv:
- arXiv:cond-mat/0602491
- Bibcode:
- 2006cond.mat..2491Z
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 1 fig