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A resetting particle embedded in a viscoelastic bath.

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We studied colloidal particle behavior in viscoelastic fluids with stochastic resetting. The generalized Langevin equation and renewal formalism reveal how memory effects and resetting influence particle dynamics and relaxation times.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Colloidal particles in viscoelastic media deviate from classical Brownian motion due to memory effects.
  • The generalized Langevin equation (GLE) accounts for these memory effects, crucial for describing particle transport.

Purpose of the Study:

  • To investigate colloidal particle dynamics under the generalized Langevin equation with stochastic resetting.
  • To analyze the influence of environmental memory and resetting on particle behavior.

Main Methods:

  • Extension of the renewal formalism to calculate position variance and correlation functions for resetting particles.
  • Application of the Jeffreys viscoelastic fluid model for illustration.

Main Results:

  • Derived general expressions for position variance and correlation functions under resetting dynamics.
  • Identified distinct timescales and transient plateaus in the system's relaxation to a steady state.
  • Demonstrated the impact of stochastic resetting on these dynamic behaviors.

Conclusions:

  • The study provides a theoretical framework for understanding resetting particle dynamics in viscoelastic environments.
  • Results are validated by numerical simulations, showing excellent agreement.
  • Highlights the interplay between memory effects, viscoelasticity, and resetting on colloidal transport.