Descending from infinity: Convergence of tailed distributions

Van den Broeck, Christian and Harbola, Upendra and Toral, Raul and Lindenberg, Katja (2015) Descending from infinity: Convergence of tailed distributions. In: PHYSICAL REVIEW E, 91 (1).

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Abstract

We investigate the relaxation of long-tailed distributions under stochastic dynamics that do not support such tails. Linear relaxation is found to be a borderline case in which long tails are exponentially suppressed in time but not eliminated. Relaxation stronger than linear suppresses long tails immediately, but may lead to strong transient peaks in the probability distribution. We also find that a delta-function initial distribution under stronger than linear decay displays not one but two different regimes of diffusive spreading.

Item Type:	Journal Article
Publication:	PHYSICAL REVIEW E
Publisher:	AMER PHYSICAL SOC
Additional Information:	Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Keywords:	NONLINEAR LANGEVIN EQUATION; NOISE; RELAXATION
Department/Centre:	Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited:	24 Apr 2015 06:06
Last Modified:	24 Apr 2015 06:06
URI:	http://eprints.iisc.ac.in/id/eprint/51393

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