Critical Behavior of Ising Model with Long Range Correlated QuenchedImpurities

The theoretic renormalization-group approach is applied to the study ofthe critical behavior of the d-dimensionalIsing model with long-range correlated quenched impurities,which has a power-like correlations r^-(d-ρ).The asymptotic scaling law is studied in the framework of theexpansion in ε=4-d. In d<4, the dynamic exponent z is calculated up to the second orderin ρ with ρ=O(ε^1/2). The shape function is obtained in one-loop calculation. When d=4, the logarithmic corrections to the critical behaviorare found. The finite size effect on the order parameterrelaxation rate is also studied.