理论物理通讯:英文版
Short—Time Critical Behavior Affected by Weakly Long—Range Interactions
CHENYuan, LIZhi-Bing
Abstract
The theoretic renormalization group approach is applied to the study of short-time critical behavior of the Ginzburg-Landau model with weakly long-range interactions pσsps-p. The system initially at a high temperature is firstly quenched to the critical temperature Tc and then released to an evolution with a model A dynamics. A double expansion in ∈ = 2σ-d and α = 1 -σ/2 with α of order ∈ is employed, where d is the spatial dimension. The asymptotic scaling laws and the initial slip exponents θ' and θ for the order parameter and the response function respectively are calculated to the second order in ∈ for σ close to 2.