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Stochastic resetting impacts diffusion-controlled reactions. Boundary local time resetting does not change the standard propagator for constant reactivity but affects generalized propagators for other surface reactions.

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Area of Science:

  • Statistical physics
  • Chemical kinetics
  • Mathematical modeling

Background:

  • Encounter-based approaches use boundary local time to model particle-target interactions and surface reactions.
  • Stochastic resetting introduces random resets to particle position or boundary interactions, altering diffusion dynamics.

Purpose of the Study:

  • Investigate the impact of stochastic resetting on diffusion-controlled reactions within confined domains.
  • Analyze the effects of both position resetting and boundary local time resetting.

Main Methods:

  • Theoretical analysis of diffusion processes in bounded domains.
  • Mathematical derivation of propagators under different resetting conditions.
  • Illustration of results using diffusion on an interval with reactive endpoints.

Main Results:

  • Position resetting reproduces and complements existing findings on diffusion propagators.
  • Boundary local time resetting does not alter the conventional propagator for constant reactivity targets.
  • Generalized propagators for alternative surface reaction mechanisms are significantly affected by boundary local time resetting.

Conclusions:

  • Stochastic resetting, particularly boundary local time resetting, offers a tunable mechanism to influence diffusion-controlled reactions.
  • The findings provide new insights into reaction dynamics in confined systems with resetting.
  • Opens avenues for exploring complex reaction pathways and further theoretical developments.