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29 March 2024
 
  » arxiv » cond-mat/0202212

 Article overview


Diffusion, peer pressure and tailed distributions
Fabio Cecconi ; Matteo Marsili ; Jayanth R. Banavar ; Amos Maritan ;
Date 13 Feb 2002
Subject Statistical Mechanics; Populations and Evolution | cond-mat.stat-mech q-bio.PE
AbstractWe present a general, physically motivated non-linear and non-local advection equation in which the diffusion of interacting random walkers competes with a local drift arising from a kind of peer pressure. We show, using a mapping to an integrable dynamical system, that on varying a parameter, the steady state behaviour undergoes a transition from the standard diffusive behavior to a localized stationary state characterized by a tailed distribution. Finally, we show that recent empirical laws on economic growth can be explained as a collective phenomenon due to peer pressure interaction.
Source arXiv, cond-mat/0202212
Other source [GID 356989] pmid12190502
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