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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...
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...