Replica analysis of the generalized p-spin interaction glass model

Details Replica analysis of the generalized p-spin interaction glass model Replica analysis of the generalized p-spin interaction glass model

2011-03-22

arxiv.org/abs/1103.4308v2

J. Phys. A: Math. Theor. 44, 445004 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 1 figure

Scientific paper

10.1088/1751-8113/44/44/445004

We investigate stability of replica symmetry breaking solutions in generalized $p$-spin models. It is shown that the kind of the transition to the one-step replica symmetry breaking state depends not only on the presence or absence of the reflection symmetry of the generalized "spin"-operators $\hat{U}$ but on the number of interacting operators and their individual characteristics.

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