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Sebastián Carruitero1,2,3, Alejo Costa Duran1,2,3, Giulia Pisegna4

  • 1<a href="https://ror.org/030qxdf23">Instituto de Física de Líquidos y Sistemas Biológicos</a> (IFLySiB), CONICET and <a href="https://ror.org/01tjs6929">Universidad Nacional de La Plata</a>, B1900BTE La Plata, Argentina.

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We extended the inertial spin model (ISM) for flocking and swarming by adding position-dependent forces. This allows for cohesion and confinement effects, revealing distinct behaviors compared to Brownian and active Brownian particles.

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Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • The inertial spin model (ISM) explains swarming dynamics like second sound and critical exponents.
  • Existing ISM formulations lack position-dependent forces, limiting analysis without periodic boundary conditions.

Purpose of the Study:

  • Extend the inertial spin model (ISM) to incorporate position-dependent forces.
  • Investigate effects like cohesion, excluded volume, and confinement.
  • Analyze model behavior without periodic boundary conditions.

Main Methods:

  • Introduced position-dependent forces into the inertial spin model (ISM).
  • Numerically simulated a single particle under an harmonic confining field.
  • Compared ISM particle behavior to Brownian and active Brownian oscillators.

Main Results:

  • The extended ISM exhibits qualitatively different behavior compared to Brownian and active Brownian oscillators.
  • Position-dependent forces enable the study of confinement and external fields.
  • The model can now be studied without periodic boundary conditions.

Conclusions:

  • The extended inertial spin model (ISM) provides a more versatile framework for studying collective behaviors.
  • Incorporating position-dependent forces reveals unique dynamics in confined active matter systems.
  • This extension facilitates the analysis of complex swarming phenomena under realistic conditions.