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Effective diffusion coefficient in tilted disordered potentials: optimal relative diffusivity at a finite

R Salgado-García1

  • 1Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Avenida Universidad 1001, Colonia Chamilpa, 62209, Cuernavaca Morelos, Mexico.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary
This summary is machine-generated.

We investigated particle transport in disordered potentials, finding optimal diffusion at specific noise levels. This phenomenon, resembling stochastic resonance, arises from the interplay between deterministic and noisy dynamics.

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Area of Science:

  • Statistical Physics
  • Soft Matter Physics
  • Complex Systems

Background:

  • Transport properties of particles in disordered systems are crucial for understanding various physical phenomena.
  • The influence of noise and potential landscape on particle dynamics is a key area of research.

Purpose of the Study:

  • To derive exact formulas for drift and diffusion coefficients of non-interacting overdamped particles in tilted disordered potentials.
  • To investigate the effect of random polymer interactions on particle transport.
  • To explore the non-monotonous behavior of the diffusion coefficient with noise intensity.

Main Methods:

  • Analytical derivation of transport coefficients using exact formulas.
  • Modeling random potentials based on polymer interactions with various monomer types.
  • Numerical simulations of Langevin dynamics for an ensemble of particles.

Main Results:

  • Exact formulas for drift and diffusion coefficients were obtained for random polymer potentials.
  • The diffusion coefficient shows non-monotonous dependence on noise intensity for uncorrelated random polymers.
  • Optimal relative diffusivity was observed at finite temperatures, analogous to stochastic resonance.

Conclusions:

  • The observed optimal diffusivity is explained by the interplay between deterministic and noisy dynamics.
  • Weakly disordered potentials enhance the temperature-dependent behavior of the diffusion coefficient.
  • Numerical simulations confirm the analytical findings for particle diffusion on random potentials.