Dynamic Monte Carlo renormalization group determination of critical exponents with linearly changing temperature

摘要

We extend the Monte Carlo renormalization-group technique to investigate the scaling behavior in the vicinity of the critical point of the two-dimensional Ising model in the presence of linearly changing temperatures, instead of some static temperatures. We find that it is possible in such a dynamically driven, nonequi-librium case to measure both the dynamic and static critical exponents. Two additional critical exponents associated with the temperature sweep rate are presented, and scaling laws relating them to other known exponents are obtained. Also a scaling form of the order parameter is extracted.