Freezing in random graph ferromagnets

Details Freezing in random graph ferromagnets Freezing in random graph ferromagnets

2001-05-03

arxiv.org/abs/cond-mat/0105061v2

PRE 64 036122

Physics

Condensed Matter

Statistical Mechanics

Published version: 1 reference deleted, 1 word added. 4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.64.036122

Using T=0 Monte Carlo and simulated annealing simulation, we study the energy relaxation of ferromagnetic Ising and Potts models on random graphs. In addition to the expected exponential decay to a zero energy ground state, a range of connectivities for which there is power law relaxation and freezing to a metastable state is found. For some connectivities this freezing persists even using simulated annealing to find the ground state. The freezing is caused by dynamic frustration in the graphs, and is a feature of the local search-nature of the Monte Carlo dynamics used. The implications of the freezing on agent-based complex systems models are briefly considered.

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