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Inertial dynamics of run-and-tumble particle.

Debraj Dutta1, Anupam Kundu2, Urna Basu1

  • 1S. N. Bose National Centre for Basic Sciences, Kolkata 700106, India.

Chaos (Woodbury, N.Y.)
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Summary

This study explores the motion of inertial run-and-tumble particles, revealing four distinct dynamic regimes based on inertial and active timescales. These findings offer new insights into particle dynamics and statistical physics.

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Area of Science:

  • Statistical Physics
  • Non-equilibrium Dynamics
  • Theoretical Physics

Background:

  • Run-and-tumble motion is a fundamental model for active particles.
  • Understanding the interplay of different timescales is crucial for predicting particle behavior.

Purpose of the Study:

  • To investigate the dynamics of a single inertial run-and-tumble particle on a line.
  • To identify and characterize distinct dynamical regimes arising from timescale interplay.
  • To analytically derive position distributions and large deviation functions.

Main Methods:

  • Analytical calculations of position distributions and large deviation functions.
  • Theoretical determination of persistence exponents.
  • Numerical simulations for validation.

Main Results:

  • Identified four distinct dynamical regimes governed by inertial and active timescales.
  • Derived analytical expressions for position distributions in well-separated timescale regimes.
  • Characterized large-time behavior with a large deviation form and computed the associated function.
  • Theoretically determined persistence exponents for each regime.

Conclusions:

  • The interplay of inertial and active timescales dictates the complex dynamics of run-and-tumble particles.
  • Analytical results provide a comprehensive understanding of particle behavior across different regimes.
  • Numerical simulations confirm the theoretical predictions, validating the model.