Potts spin glasses with 3, 4 and 5 states near $T=T_c$: expanding around the replica symmetric solution

Autor:	Gribova, N. V., Schelkacheva, T. I., Tareyeva, E. E.
Rok vydání:	2010
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics
Zdroj:	J. Phys. A: Math. Theor. 43, 495006 (2010)
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/43/49/495006
Popis:	Expansion for the free energy functionals of the Potts spin glass models with 3, 4 and 5 states up to the fourth order in $\delta q_{\alpha \beta }$ around the replica symmetric solution (RS) is investigated using a special quadrupole-like representation. The temperature dependence of the 1RSB order parameters is obtained in the vicinity of the point $T=T_c$ where the RS solution becomes unstable. The crossover from continuous to jumpwise behavior with increasing of number of states is derived analytically. The comparison is made of the free energy expansion for the Potts spin glass with that for other models. Comment: 10 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1007.0135 Zobrazit plný text záznamu View this record from Arxiv