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Influence of Long-range Interactions on the Critical Behavior of Systems with negative Fisher-Exponent | H.K. Janssen
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19 May 1998 | Journal: | Phys.Rev. E58 (1998) 2673-2676 | Subject: | Statistical Mechanics | cond-mat.stat-mech | Affiliation: | Heinrich-Heine-Universitaet, Duesseldorf, Germany | Abstract: | The influence of long-range interactions decaying in d dimensions as 1/R^{d+sigma} on the critical behavior of systems with Fisher’s correlation-function exponent for short-range interactions eta_{SR}<0, is re-examined. Such systems, typically described by Phi ^{3}-field theories, are e.g. the Potts-model in the percolation-limit, the Edwards-Anderson spin-glass, and the Yang-Lee edge singularity. In contrast to preceding studies, it is shown by means of Wilson’s momentum-shell renormalization-group recursion relations that the long-range interactions dominate as long as sigma <2-eta _{SR}. Exponents change continuously to their short-range values at the boundary of this region. | Source: | arXiv, cond-mat/9805223 | Services: | Forum | Review | PDF | Favorites |
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