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Hydrodynamic memory can boost enormously driven nonlinear diffusion and transport.

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Hydrodynamic memory, or Basset force, significantly impacts Brownian motion. This force causes a giant enhancement in driven diffusion and particle mobility, even under moderate damping conditions.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Fluid Dynamics

Background:

  • Hydrodynamic memory force (Basset force) is a long-standing concept.
  • Its effect on Brownian motion and nonlinear transport is underexplored.
  • Previous work identified giant diffusion enhancement in a tilted washboard potential.

Purpose of the Study:

  • Investigate the role of hydrodynamic memory force in nonlinear transport and diffusion.
  • Explore its impact on a paradigmatic tilted washboard potential model.
  • Analyze effects under varying damping conditions, including moderately strong damping.

Main Methods:

  • Utilized a paradigmatic model of a tilted washboard potential.
  • Analyzed the influence of Basset force on particle dynamics.
  • Examined transport and diffusion phenomena under different damping regimes.

Main Results:

  • Discovered substantial hydrodynamic memory impact even for moderate damping.
  • Observed diffusion boost at nonvanishing potential barriers, orders of magnitude larger.
  • Identified transient anomalous diffusion regimes over extended time and potential periods.
  • Found dramatic enhancement in particle mobility and emergence of long transient supertransport.

Conclusions:

  • Hydrodynamic memory force plays a crucial, often unexpected, role in nonlinear transport and diffusion.
  • The Basset force significantly alters diffusion and mobility, leading to phenomena like supertransport.
  • Findings challenge existing theories in the overdamped limit and highlight memory effects in physics.