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Transition path dynamics for one-dimensional run and tumble particle.

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Summary

This study analyzes active run and tumble particle motion, revealing that transition path properties remain symmetrical despite variations in tumbling rate and speed. These findings are supported by master equations and Monte Carlo simulations.

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Area of Science:

  • Statistical Physics
  • Biophysics
  • Active Matter Physics

Background:

  • Understanding particle dynamics is crucial in various scientific fields.
  • Run and tumble motion is a common model for active particles, like bacteria.
  • Characterizing transition paths provides insights into dynamic processes.

Purpose of the Study:

  • To theoretically describe and simulate transition path properties of active run and tumble particles.
  • To investigate symmetry breaking in these properties under unconstrained motion.
  • To determine the influence of parameters like tumbling rate and speed on symmetry.

Main Methods:

  • Utilized forward and backward master equations for theoretical analysis.
  • Employed Monte Carlo simulations to validate theoretical predictions.
  • Examined properties including transient probability density, transition time, and splitting probability.

Main Results:

  • Demonstrated that transition path properties do not exhibit symmetry breaking for the studied run and tumble particles.
  • Confirmed the emergence of symmetry in transition path properties with variations in particle speed and tumbling rate.
  • Illustrated the transition path shape and its distribution.

Conclusions:

  • The study confirms the inherent symmetry of transition path properties in run and tumble particle systems.
  • Theoretical models and simulations consistently support these findings.
  • The research provides a robust framework for analyzing active particle dynamics.