Nonuniversality of Aging during Phase Separation of the Two-Dimensional Long-Range Ising Model.

We investigate the aging properties of phase-separation kinetics following quenches from T=∞ to a finite temperature below T_{c} of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range interactions ∼r^{-(2+σ)}. Physical aging with a power-law decay of the two-time autocorrelation function C(t,t_{w})∼(t/t_{w})^{-λ/z} is observed, displaying a complex dependence of the autocorrelation exponent λ on σ. A value of λ=3.500(26) for the corresponding nearest-neighbor model (which is recovered as the σ→∞ limit) is determined. The values of λ in the long-range regime (σ<1) are all compatible with λ≈4. In between, a continuous crossover is visible for 1≲σ≲2 with nonuniversal, σ-dependent values of λ. The performed Metropolis Monte Carlo simulations are primarily enabled by our novel algorithm for long-range interacting systems.