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First-order transition in Potts models with "invisible' states: Rigorous proofs
First-order transition Potts models Rigorous proofs
2011/7/28
Abstract: In some recent papers by Tamura, Tanaka and Kawashima [arXiv:1102.5475, arXiv:1012.4254], a class of Potts models with "invisible" states was introduced, for which the authors argued by nume...
Percolation in Interdependent and Interconnected Networks: Abrupt Change from Second to First Order Transition
Cascading failures, Percolation, Coupled networks, Phase transition
2011/9/5
Robustness of two coupled networks system has been studied only for dependency coupling (S. Buldyrev et. al., Nature, 2010) and only for connectivity coupling (E. A. Leicht and R. M. D’Souza, arxiv:09...
Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization
Charged polymers attractive regime Brownian scaling four points localization
2010/11/11
We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperatu...
Dynamo Onset as a First-Order Transition: Lessons from a Shell Model for Magnetohydrodynamics
First-Order Transition Magnetohydrodynamics
2010/4/8
We carry out systematic and high-resolution studies of dynamo action in a shell model for magnetohydrodynamic (MHD) turbulence over wide ranges of the magnetic Prandtl number $Pr_{\rm M}$ and the magn...