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Phase transitions in Ising model on a Euclidean network | | Arnab Chatterjee
; Parongama Sen
; | | Date: |
6 Jun 2006 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | | Abstract: | A one dimensional network on which there are long range bonds at lattice distances $l>1$ with the probability $P(l) propto l^{-delta}$ has been taken under consideration. We investigate the critical behavior of the Ising model on such a network where spins interact with these extra neighbours apart from their nearest neighbours for $0 leq delta < 2$. It is observed that there is a finite temperature phase transition in the entire range. For $0 leq delta < 1$, finite size scaling behaviour of various quantities are consistent with mean field exponents while for $1leq deltaleq 2$, the exponents depend on $delta$. The results are discussed in the context of earlier observations on the topology of the underlying network. | | Source: | arXiv, cond-mat/0606138 | | Services: | Forum | Review | PDF | Favorites | |
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