Nonequilibrium Relaxation Study of Effect of Randomness on Critical Universality Classes of Ferromagnetic Phase Transitions

作者：Ozeki Yukiyasu^*; Yotsuyanagi Satoshi; Ito Nobuyasu

来源：Journal of the Physical Society of Japan, 2012, 81(7): 074602.

DOI：10.1143/JPSJ.81.074602

• disordered systems
• critical universality
• gauge glass
• Harris criterion
• nonequilibrium relaxation method

The ferromagnetic critical exponents are estimated along the phase boundary for the gauge glass model in three dimensions. The nonequilibrium relaxation method is applied to estimate the transition temperature and critical exponents. Together with the previously obtained results for the +/-J Ising model in two and three dimensions, universality classes are examined for these disordered models. The result reveals a direct numerical confirmation of the Harris criterion for typical models with positive, zero and negative values of alpha(0), the exponent for the specific heat in the regular case. In addition, we show a nonuniversal behavior of the dynamical exponent z with respect to the randomness for these models irrespective of alpha(0).

• 出版日期2012-7