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Diffusion, peer pressure, and tailed distributions.

Fabio Cecconi1, Matteo Marsili, Jayanth R Banavar

  • 1International School for Advanced Studies (SISSA) and Istituto Nazionale per la Fisica della Materia (INFM), Trieste-SISSA Unit, Via Beirut 2-4, 34014 Trieste, Italy.

Physical Review Letters
|August 23, 2002
PubMed
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We developed a new advection equation where random walker diffusion competes with peer pressure. This model explains economic growth laws as a collective phenomenon, showing a transition to localized states.

Area of Science:

  • Physics
  • Economics
  • Mathematical Modeling

Background:

  • Interacting random walkers exhibit complex behaviors.
  • Understanding collective phenomena requires advanced mathematical models.

Purpose of the Study:

  • To introduce a novel nonlinear and nonlocal advection equation.
  • To investigate the transition from diffusive to localized behavior.
  • To explain empirical economic growth laws.

Main Methods:

  • Developing a physically motivated advection equation.
  • Mapping the system to an integrable dynamical system.
  • Analyzing steady-state behavior and parameter-dependent transitions.

Main Results:

Related Experiment Videos

  • Demonstrated a transition from standard diffusive behavior to a localized stationary state.
  • Characterized the localized state by a tailed distribution.
  • Linked peer pressure interactions to empirical economic growth laws.

    • Conclusions:

    • The proposed advection equation provides a unified framework for diffusion and drift phenomena.
    • Peer pressure is a significant factor in collective economic behavior.
    • The model offers insights into the emergence of tailed distributions in complex systems.