We introduce a mean field spin glass model with gaussian distribuited spins and pairwise interactions, whose couplings are drawn randomly from a gaussian distribution N (0, 1) too. We completely control the main thermodynamical properties of the model (free energy, phase diagram, fluctuations theory) in the whole phase space. In particular we prove that in thermodynamic limit the free energy equals its replica symmetric expression.
Barra Adriano, Genovese Giuseppe, Guerra Francesco, Tantari Daniele (2014). About a solvable mean field model of a Gaussian spin glass. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 47, 155002-155018 [10.1088/1751-8113/47/15/155002].
About a solvable mean field model of a Gaussian spin glass
Tantari Daniele
2014
Abstract
We introduce a mean field spin glass model with gaussian distribuited spins and pairwise interactions, whose couplings are drawn randomly from a gaussian distribution N (0, 1) too. We completely control the main thermodynamical properties of the model (free energy, phase diagram, fluctuations theory) in the whole phase space. In particular we prove that in thermodynamic limit the free energy equals its replica symmetric expression.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
