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Random motion with interfacial contact: driven diffusion vis-à-vis mechanical activation.

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External noise enables sphere motion on patterned elastomers, revealing a temperature-like parameter. This parameter, related to diffusivity and mobility, offers insights into non-linear friction systems.

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Area of Science:

  • Physics
  • Materials Science
  • Non-linear Dynamics

Background:

  • Rolling motion on patterned elastomers is governed by non-linear friction.
  • External fields weaker than friction do not induce motion.
  • External noise can alter system behavior, introducing emergent properties.

Purpose of the Study:

  • Investigate the effect of external noise on sphere rolling dynamics.
  • Characterize the emergence of viscous-like behavior and diffusive drift.
  • Develop methods to estimate an effective temperature in non-linear friction systems.

Main Methods:

  • Studied sphere rolling on patterned elastomer supports under external fields and noise.
  • Analyzed stick-slip behavior and diffusive drift at varying noise strengths.
  • Introduced a barrier crossing experiment with hard or soft spheres on undulated substrates.

Main Results:

  • External noise induces viscous friction-like behavior and uniform drift velocity.
  • At low noise, stick-slip motion occurs; at higher noise, diffusive drift with displacements is observed.
  • An effective temperature parameter, conforming to Einstein's ratio, was estimated and found to increase with noise strength.

Conclusions:

  • The effective temperature in non-linear friction systems may not be unique.
  • Barrier crossing experiments provide a method for direct effective temperature estimation.
  • Diffusivity increases super-linearly with noise strength, while the estimated parameter increases almost linearly.