Disorder driven phase transitions of the large q-state Potts model in 3d

Abstract

Phase transitions induced by varying the strength of disorder in the large-q state Potts model in 3d are studied by analytical and numerical methods. By switching on the disorder the transition stays of first order, but different thermodynamical quantities display essential singularities. Only for strong enough disorder the transition will be soften into a second-order one, in which case the ordered phase becomes non-homogeneous at large scales, while the non-correlated sites percolate the sample. In the critical regime the critical exponents are found universal: β/ν=0.60(2) and ν=0.73(1).

4 pages; 3 figures

References in corpus (1)

• Disorder induced rounding of the phase transition in the large q-state Potts model

Cited by in corpus (4)

• Distribution of pseudo-critical temperatures and lack of self-averaging in disordered Poland-Scheraga models with different loop exponents
• Global disorder transition in the community structure of large-q Potts systems
• Phase-transitions of the random bond Potts chain with long-range interactions
• Excess entropy and central charge of the two-dimensional random-bond Potts model in the large-Q limit