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ac-driven phase-dependent directed diffusion.

O Yevtushenko1, S Flach, K Richter

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Directed diffusion occurs in symmetric systems due to a time-periodic field breaking phase space flow symmetry. This phenomenon, even in reflection-symmetric potentials, reveals the interplay between broken symmetry and dynamical chaos.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • Directed diffusion typically requires asymmetric potentials or fields.
  • Understanding symmetry breaking is crucial in statistical physics.

Purpose of the Study:

  • To investigate directed diffusion in a system with a symmetric potential and a time-periodic field.
  • To analyze how broken phase space flow symmetry leads to directed diffusion.
  • To explore the relationship between broken symmetry, dynamical chaos, and directed diffusion.

Main Methods:

  • Theoretical analysis of particle dynamics.
  • Study of phase space flow symmetry.
  • Investigation of external time-periodic fields.
  • Analysis of dynamical chaos.

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Main Results:

  • Directed diffusion is achieved in a reflection-symmetric periodic potential using a time-periodic external field.
  • The external field breaks the symmetry of the phase space flow, inducing directed particle movement.
  • An interplay between broken symmetry and dynamical chaos is identified as the mechanism for directed diffusion.

Conclusions:

  • Time-periodic fields can induce directed diffusion even in symmetric systems by breaking phase space flow symmetry.
  • Dynamical chaos plays a significant role in the observed directed diffusion.
  • The study provides insights into non-equilibrium statistical mechanics and the behavior of particles in complex potentials.