Continuous RSB mean-field solution of the Potts glass

Details Continuous RSB mean-field solution of the Potts glass Continuous RSB mean-field solution of the Potts glass

2010-02-24

arxiv.org/abs/1002.4576v1

J. Phys.: Condens. Matter 23 (2011) 022204

Physics

Condensed Matter

Disordered Systems and Neural Networks

REVTeX4.1, 4 pages, 1 figure

Scientific paper

10.1088/0953-8984/23/2/022204

We investigate the p-state mean-field model of the Potts glass ($2\le p \le 4$) below the continuous phase transition to a glassy phase. We find that apart from a solution with a first hierarchical level of replica-symmetry breaking (1RSB), locally stable close to the transition point, there is a continuous full replica-symmetry breaking (FRSB) solution. The latter is marginally stable and has a higher free energy than the former. We argue that the true equilibrium is reached only by FRSB, being globally thermodynamically homogeneous, whereas 1RSB is only locally homogeneous.

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