Short-time critical behaviour of anisotropic cubic systems with long-range interaction

Abstract

The renormalization group approach is applied to the study of the short-time critical behaviour of the d-dimensional n-component anisotropic cubic spin systems with long-range interaction of the form pσsps-p in momentum space. Firstly, the system is quenched from a high temperature to the critical temperature and then relaxes to equilibrium within the model A dynamics. The asymptotic scaling laws and the initial slip exponents θ' and θ of the order parameter and the response function, respectively, are calculated to the second order in = 2σ-d. For 1≤d nc, the cubic anisotropy affects the short-time critical behaviour.