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Persistent exclusion process with time-periodic drive.

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Summary
This summary is machine-generated.

A moving defect in a lattice of run-and-tumble particles creates large clusters by aligning particle movement. Too much particle tumbling or a too-fast defect breaks these clusters, leading to varied densities.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Non-equilibrium Systems

Background:

  • Run-and-tumble particles exhibit complex behaviors in exclusion processes.
  • External potentials can significantly alter particle dynamics and system states.

Purpose of the Study:

  • Investigate the impact of a moving defect on a 1D exclusion process with run-and-tumble particles.
  • Understand the formation and stability of particle clusters under varying defect speeds and tumbling probabilities.

Main Methods:

  • Numerical simulations of a 1D lattice with hard-core exclusion.
  • Modeling a 'defect' site with altered tumbling probability (γ=1).
  • Analyzing particle clustering and density fluctuations for different defect speeds (u) and tumbling probabilities (γ).

Main Results:

  • A moving defect induces a phase-separated state with large particle clusters for small/moderate u.
  • Cluster stability depends on the competition between defect motion timescale and particle tumbling (γ).
  • Long-range order is maintained when γ is comparable to u/L, but destroyed at higher γ.

Conclusions:

  • The moving defect is crucial for creating long-range order and large-scale clustering.
  • Particle tumbling acts to disrupt this order, leading to density inhomogeneities.
  • A phase diagram in the γ-u plane reveals distinct regions of density variation.