Nonuniversal aging during phase separation with long-range interaction

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.