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Nonuniversal aging during phase separation with long-range interaction.

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This study investigates phase transition kinetics in the 2D long-range Ising model using Monte Carlo simulations. Results reveal nonuniversal aging and growth exponents, suggesting a crossover from long-range to short-range interactions.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Computational Physics

Background:

  • Phase transition kinetics are not well understood for conserved order parameters, especially with long-range interactions.
  • The Ising model is a fundamental tool for studying magnetism and phase transitions.

Purpose of the Study:

  • To investigate the structure, growth, and aging kinetics of the 2D long-range Ising model.
  • To analyze the dependence of aging and growth exponents on interaction range.
  • To identify potential crossovers in interaction behavior.

Main Methods:

  • Monte Carlo simulations of the 2D long-range Ising model.
  • Quenching random initial configurations to below the coexistence curve.
  • Analysis of domain size, structure, and time dependence.

Main Results:

  • Nonuniversal values for the aging exponent (λ) and growth exponent (α) were observed.
  • A crossover from long-range to short-range interaction behavior was suggested around σ≃1.
  • An anomaly in structural properties indicated this interaction crossover.

Conclusions:

  • The study provides a novel perspective on phase transition kinetics, differing from static critical phenomena.
  • A scaling law combining the growth and aging exponents is proposed.
  • The findings highlight the importance of interaction range in determining kinetic behavior.