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).

arXiv comment4 pages; 3 figures

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• Global disorder transition in the community structure of large-q Potts systems
• The stability to instability transition in the structure of large scale networks
• Phase-transitions of the random bond Potts chain with long-range interactions
• Rounding of first-order phase transitions and optimal cooperation in scale-free networks
• Excess entropy and central charge of the two-dimensional random-bond Potts model in the large-Q limit
• Interface mapping in two-dimensional random lattice models