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- W2058704590 abstract "The critical properties of a random Ising model with long-range isotropic interactions decaying as R-(d+ sigma ) are analysed by using renormalisation group methods in an expansion in epsilon '=2 sigma -d, where d is dimensionality. For epsilon '>O the critical behaviour is described by a stable fixed point O( epsilon 12/') in the physical region of parameter space. The crossover to short-range behaviour is analysed and takes place when sigma =2+ epsilon /106, epsilon =4-d>O. There is then a small region O< sigma -2<O( epsilon ) where the system is still dominated by long-range behaviour. The results for d=1 are compared with those obtained previously for the random hierarchical model and it is found that the two models do not show the same critical behaviour in the epsilon ' expansion." @default.
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- W2058704590 date "1981-10-01" @default.
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- W2058704590 title "Random Ising model with long-range interactions" @default.
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- W2058704590 doi "https://doi.org/10.1088/0305-4470/14/10/027" @default.
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