Diffusion, Peer Pressure, and Tailed Distributions

Fabio Cecconi; Matteo Marsili; Jayanth R. Banavar; Amos Maritan

doi:10.1103/physrevlett.89.088102

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.

Keywords

Statistical physicsAdvectionDiffusionIntegrable systemNonlinear systemPhysicsPeer pressureDistribution (mathematics)State (computer science)Classical mechanicsMathematicsMathematical analysisQuantum mechanicsMathematical physicsLaw

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Publication Info

Year: 2002
Type: article
Volume: 89
Issue: 8
Pages: 088102-088102
Citations: 24
Access: Closed

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APA Style

                            
                                
                                    Fabio Cecconi, 
                                
                                    Matteo Marsili, 
                                
                                    Jayanth R. Banavar
                                
                                et al.
                            
                            (2002). 
                            Diffusion, Peer Pressure, and Tailed Distributions. 
                            Physical Review Letters
                            , 89
                            (8)
                            , 088102-088102.
                            https://doi.org/10.1103/physrevlett.89.088102
                        

Identifiers

DOI: 10.1103/physrevlett.89.088102