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Effect of repulsive interaction and initial velocity on collective motion process.

I Tarras1, A Eddakoun1, A Hader1,2

  • 1Laboratory of Bio-Geosciences and Materials Engineering, Higher Normal School of Casablanca, University of Hassan II. Casablanca, Casablanca, Morocco.

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Investigating kinetic phase transitions in collective motion, this study reveals initial velocity and repulsion significantly influence system dynamics. Critical noise in the transition phase is not universal, depending on velocity and repulsion radius.

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Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • Self-propelled collective motion is a complex phenomenon with applications in agent-based modeling and evacuation strategies.
  • The transition from rest to equilibrium in collective systems, like flocks or schools, is recognized as a phase transition.

Purpose of the Study:

  • To investigate the kinetic phase transition in multi-agent systems.
  • To elucidate the impact of initial velocity and repulsive interactions on system dynamics.
  • To understand the parameters governing the transitional phase in collective motion.

Main Methods:

  • Utilized an extended Vicsek model incorporating a repulsive interaction zone to prevent particle collisions.
  • Employed numerical simulations to explore system behavior under varying conditions.
  • Focused on analyzing the influence of initial velocity on collective particle movement.

Main Results:

  • Initial velocity was found to significantly affect both system noise and particle density.
  • The critical noise level required for a phase transition is dependent on initial velocity and repulsion radius.
  • Repulsion radius and particle density are key factors in transitioning between equilibrium states.

Conclusions:

  • The kinetic phase transition in this model lacks universal characteristics due to velocity and repulsion dependencies.
  • Collective motion dynamics are sensitive to initial conditions and inter-particle interactions.
  • Understanding these parameters is crucial for predicting and controlling emergent collective behaviors.