Universality in the critical dynamics of the three-dimensional large-q Potts model with bond randomness

作者：Xiong, Wanjie; Xu, Chudong^*

来源：Phase Transitions, 2014, 87(1): 85-95.

DOI：10.1080/01411594.2013.771739

• random-bond Potts model
• critical exponents
• finite-time dynamics
• random fixed point
• Monte Carlo renormalization-group

The critical behavior of the three-dimensional random-bond Potts model for large state numbers with q=16 and q=32 is studied by the finite-time dynamics combining with Monte Carlo renormalization group method. The correlation length and dynamic exponents as well as the critical temperatures are calculated through reducing the influence of finite-size effects. According to the variations of critical exponents with disorder amplitude, we identify the asymptotic critical exponents with =0.424(14), z=3.03(12) and find that they are q-independent. The results further confirm that the intrinsic , instead of finite-size one, can escape the bound >2/d suggested previously.

• 出版日期2014-1-2
• 单位华南农业大学