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Anomalous diffusion in the square soft Lorentz gas.

Esko Toivonen1, Joni Kaipainen1,2, Matti Molkkari1

  • 1Tampere University, Computational Physics Laboratory, P.O. Box 600, FI-33014 Tampere, Finland.

Physical Review. E
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Summary
This summary is machine-generated.

We studied particle diffusion in a square soft Lorentz gas, finding it can be normal or anomalous. Anomalous diffusion arises from quasiballistic orbits, unlike hard-wall systems.

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Area of Science:

  • Statistical Physics
  • Dynamical Systems
  • Computational Physics

Background:

  • Understanding particle diffusion is crucial in various physical systems.
  • The transition from hard-wall potentials to soft potentials significantly impacts diffusion dynamics.
  • The square soft Lorentz gas model provides a unique platform to study these effects.

Purpose of the Study:

  • To analyze anomalous diffusion properties of particles in a 2D square soft Lorentz gas.
  • To investigate the interplay between normal and anomalous diffusion based on system parameters.
  • To characterize the dynamical system properties governing diffusion transitions.

Main Methods:

  • Numerical simulations of point-like particles in a 2D system with circular scatterers.
  • Development of a unit cell hopping model for normal diffusion regimes.
  • Analysis of particle displacement vector distributions and phase space structures.

Main Results:

  • Observed a rich interplay of normal and anomalous diffusion dependent on system parameters.
  • Identified quasiballistic orbits and Kolmogorov-Arnold-Moser islands characterizing anomalous diffusion.
  • Found similarities in displacement distributions to hard-wall Lorentz gas, with Gaussian behavior or long tails.

Conclusions:

  • The square soft Lorentz gas exhibits complex diffusion behaviors, including anomalous diffusion.
  • Parameter space analysis reveals intricate structures influencing diffusion regimes.
  • This study catalogs key properties for understanding diffusion changes from hard to soft potentials.