Diffusion,peer pressure,and tailed distributions |
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Authors: | Cecconi Fabio Marsili Matteo Banavar Jayanth R Maritan Amos |
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Institution: | International School for Advanced Studies (SISSA) and Istituto Nazionale per la Fisica della Materia (INFM), Trieste-SISSA Unit, Via Beirut 2-4, 34014 Trieste, Italy. |
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Abstract: | We present a general, physically motivated nonlinear and nonlocal 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 behavior 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. |
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