Descending from infinity: Convergence of tailed distributions

Christian Van den Broeck, Upendra Harbola, Raul Toral, and Katja Lindenberg
Phys. Rev. E 91, 012128 – Published 15 January 2015

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 δ-function initial distribution under stronger than linear decay displays not one but two different regimes of diffusive spreading.

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  • Received 6 August 2014

DOI:https://doi.org/10.1103/PhysRevE.91.012128

©2015 American Physical Society

Authors & Affiliations

Christian Van den Broeck

  • Hasselt University, B-3500 Hasselt, Belgium

Upendra Harbola

  • Inorganic and Physical Chemistry, Indian Institute of Science, Bangalore 560012, India

Raul Toral

  • IFISC (Instituto de Física Interdisciplinar y Sistemas Complejos), Universitat de les Illes Balears-CSIC, Palma de Mallorca 07122, Spain

Katja Lindenberg

  • Department of Chemistry and Biochemistry and BioCircuits Institute, University of California San Diego, La Jolla, California 92093-0340, USA

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Issue

Vol. 91, Iss. 1 — January 2015

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