Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-11-13
J. Stat. Phys. 135 (2009), 1039
Physics
Condensed Matter
Disordered Systems and Neural Networks
32 pages, added refs and a discussion on hyperscaling
Scientific paper
10.1007/s10955-009-9705-5
We consider the random-bond +- J Ising model on a square lattice as a function of the temperature T and of the disorder parameter p (p=1 corresponds to the pure Ising model). We investigate the critical behavior along the paramagnetic-ferromagnetic transition line at low temperatures, below the temperature of the multicritical Nishimori point at T*= 0.9527(1), p*=0.89083(3). We present finite-size scaling analyses of Monte Carlo results at two temperature values, T=0.645 and T=0.5. The results show that the paramagnetic-ferromagnetic transition line is reentrant for T
Pelissetto Andrea
Toldin Francesco Parisen
Vicari Ettore
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