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Related Experiment Videos

Diffusive transport and self-consistent dynamics in coupled maps.

Guido Boffetta1, Diego del-Castillo-Negrete, Cristóbal López

  • 1Dipartimento di Fisica Generale and INFM, Università di Torino, via P. Giuria 1, 10125 Turin, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
Summary

Self-consistency significantly impacts diffusion in Hamiltonian systems. This study analyzes coupled symplectic maps, revealing how feedback mechanisms alter transport properties in realistic physical models.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Diffusion in Hamiltonian systems is a long-standing research area.
  • Self-consistency, the feedback of transported quantities on flow dynamics, is crucial but often neglected in models, particularly in plasma physics.

Purpose of the Study:

  • To investigate the influence of self-consistency on diffusion properties in systems of coupled symplectic maps.
  • To introduce and analyze self-consistent models where transported quantities affect the driving flow.

Main Methods:

  • Development of self-consistent models using ensembles of globally coupled maps.
  • Analysis of two types of self-consistent maps: phase-coupled and fully coupled (phase and amplitude).

Main Results:

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  • Characterization of diffusion properties for both phase-coupled and fully coupled self-consistent maps.
  • Detailed comparison of the analogies and differences in diffusion behavior between the two model types.

Conclusions:

  • Self-consistency introduces significant effects on diffusion dynamics in Hamiltonian systems.
  • The specific coupling mechanism (phase-only vs. full coupling) critically determines the system's transport characteristics.