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- W4366654414 abstract "The author reformulates the proof by Aharony, Imry and Ma (Phys. Rev. Lett., vol.37, p.1364 (1976)) that, to all orders in perturbation theory, the critical exponents of a d-dimensional system with short-range interaction and a quenched random field are the same as those of a (d-2) dimensional pure system. The author thus shows explicitly the equivalence between these systems for terms with several momentum integrations, which involve non trivial combinatorial factors. If the forces are of long range, varying with distance R like R-(d+ sigma ), the proposed equivalence between a d-dimensional random system and the corresponding pure system in (d- sigma ) dimensions is shown not to hold in general and this is demonstrated explicitly by a calculation to second order in in (=3-d)." @default.
- W4366654414 created "2023-04-23" @default.
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- W4366654414 date "1977-05-14" @default.
- W4366654414 modified "2023-10-17" @default.
- W4366654414 title "On the lowering of dimensionality in phase transitions with random fields" @default.
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- W4366654414 doi "https://doi.org/10.1088/0022-3719/10/9/007" @default.
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