Nonequilibrium relaxation of fluctuations of physical quantities

The nonequilibrium relaxation (NER) process of fluctuations of physical quantities is studied simulationally. It is shown that the NER method, which is a convenient technique for studying the phase and transition, is useful not only for identifying the phase and locating the transition point, but also for estimating both static and dynamical exponents. As an example, the cubic-lattice ferromagnetic Ising model is analyzed. The transition inverse-temperature is estimated to be K-c = 0.2216595(15). The exponents of correlation length, magnetization, and specific heat are estimated to be nu = 0.635(5), beta = 0.325(5) and alpha = 0.14(2), respectively. The dynamical exponent z is estimated to be 2.055(10).