Asymptotic Behaviour for Critical Slowing-Down Random Walks |
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Authors: | Yves Elskens |
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Institution: | (1) Equipe turbulence plasma de l'UMR 6633 CNRS, Université de Provence, case 321, Centre de Saint-Jérôme, F-13397 Marseille Cedex 13 |
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Abstract: | The jump processes W(t) on 0, with transitions w![rarr](/content/pp2685452172v633/xxlarge8594.gif) w at rate bw
(0![le](/content/pp2685452172v633/xxlarge8804.gif) <1, b>0, >0) are considered. Their moments are shown to decay not faster than algebraically for t![rarr](/content/pp2685452172v633/xxlarge8594.gif) , and an equilibrium probability density is found for a rescaled process U=(t+ )–
W. A corresponding birth process is discussed. |
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Keywords: | granular solids kinetic theory |
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