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Evolution of Staircase Structures in Diffusive Convection
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Dynamical thermalization and turbulence in social stratification models.

Klaus M Frahm1, Dima L Shepelyansky1

  • 1Laboratoire de Physique Théorique, Univ Toulouse, CNRS, Toulouse, France.

Chaos (Woodbury, N.Y.)
|July 8, 2026
PubMed
Summary

This study models social stratification using nonlinear chaotic dynamics in coupled oscillators. It reveals Rayleigh-Jeans condensation, mirroring wealth inequality and demonstrating Kolmogorov-Zakharov turbulence.

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Area of Science:

  • Physics
  • Sociology
  • Economics

Background:

  • Social systems can be modeled using physical dynamics.
  • Understanding wealth inequality requires analyzing complex interactions.

Purpose of the Study:

  • To model social stratification using nonlinear chaotic dynamics.
  • To investigate energy distribution and wealth inequality in a social model.

Main Methods:

  • Studying nonlinear chaotic dynamics in coupled linear oscillators.
  • Analyzing Hamiltonian evolution with integrals of motion.
  • Observing dynamical thermalization and Rayleigh-Jeans distribution.

Main Results:

  • Chaotic dynamics lead to dynamical thermalization with Rayleigh-Jeans distribution.
  • Observed Rayleigh-Jeans condensation at low energies, similar to wealth inequality.
  • System exhibits Kolmogorov-Zakharov turbulence with energy pumping.

Conclusions:

  • The oscillator system effectively models social stratification and wealth inequality.
  • Rayleigh-Jeans condensation provides insights into economic disparities.
  • The system demonstrates complex dynamics relevant to social and physical phenomena.