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Ordering kinetics in the active Ising model.

Sayam Bandyopadhyay1, Swarnajit Chatterjee2, Aditya Kumar Dutta1

  • 1School of Mathematical &amp; Computational Sciences, <a href="https://ror.org/050p6gz73">Indian Association for the Cultivation of Science</a>, Kolkata 700032, India.

Physical Review. E
|July 18, 2024
PubMed
Summary
This summary is machine-generated.

The two-dimensional active Ising model (AIM) exhibits domain growth kinetics similar to passive systems, following the Lifshitz-Cahn-Allen law. Transverse diffusion significantly influences this growth, regardless of noise or self-propulsion variations.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Complex Systems

Background:

  • The active Ising model (AIM) describes systems with conserved density and nonconserved magnetization.
  • Understanding ordering kinetics is crucial for active matter systems.

Purpose of the Study:

  • To numerically investigate the ordering kinetics in the 2D active Ising model.
  • To determine the characteristic length scale and domain growth laws.
  • To identify factors influencing domain growth in the AIM.

Main Methods:

  • Numerical simulations of the 2D active Ising model.
  • Analysis using two-point correlation functions and structure factor.
  • Solving hydrodynamic equations of the AIM.

Main Results:

  • Domain growth follows the Lifshitz-Cahn-Allen law (R(t)∼t^{1/2}) in coexistence and ordered liquid regions.
  • System morphology conforms to Porod's law, indicating smooth, compact domains.
  • Domain growth exponent is independent of noise strength and self-propulsion velocity.
  • Transverse diffusion is identified as the dominant factor in growth kinetics.

Conclusions:

  • The 2D AIM exhibits passive-like ordering kinetics under specific conditions.
  • Transverse diffusion is a key driver of domain coarsening in the AIM.
  • Hydrodynamic descriptions can accurately predict the growth exponent.