Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-04-20
Physics
Condensed Matter
Statistical Mechanics
7 pages and 7 figures
Scientific paper
We investigate analytically and numerically an Ising spin model with ferromagnetic coupling defined on random graphs corresponding to Feynman diagrams of a $\phi^q$ field theory, which exhibits a mean field phase transition. We explicitly calculate the correlation functions both in the symmetric and in the broken symmetry phase in the large volume limit. They agree with the results for finite size systems obtained from Monte Carlo simulations.
Bialas Piotr
Oleś Andrzej K.
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