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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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