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Summary
This summary is machine-generated.

Active dynamics and spreading processes create collective behavior in living systems. This study reveals how motility influences phase transitions and wave propagation, leading to novel pattern formation.

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Area of Science:

  • Theoretical biophysics
  • Statistical mechanics
  • Complex systems

Background:

  • Collective behavior in living systems often emerges from simple individual rules.
  • Active matter, characterized by self-propulsion, introduces unique dynamics not seen in passive systems.
  • Understanding phase transitions in active systems is crucial for deciphering biological organization.

Purpose of the Study:

  • To investigate the interplay between active run-and-tumble dynamics and spreading processes.
  • To analyze the impact of motility parameters on absorbing state phase transitions.
  • To characterize emergent pattern formation mechanisms in active systems.

Main Methods:

  • Modeling active dynamics using run-and-tumble kinetics.
  • Incorporating coagulation/decoagulation reactions to study phase transitions.
  • Analyzing wave front propagation and stability beyond the mean-field regime.

Main Results:

  • Active dynamics do not alter the phase transition point but affect relaxation times.
  • Competition between spreading and active motion generates long-lived currents.
  • Wave front propagation shifts from traveling to diffusive, with finite-scale instabilities causing mode crossovers.

Conclusions:

  • The study provides a theoretical framework for collective behavior in active systems.
  • Motility parameters critically influence system dynamics and pattern formation.
  • Emergent phenomena range from Fisher-Kolmogorov to Kardar-Parisi-Zhang dynamics.