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Article overview
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Critical scaling in random-field systems: 2 or 3 independent exponents? | | Gilles Tarjus
; Ivan Balog
; Matthieu Tissier
; | | Date: |
15 Apr 2013 | | Abstract: | We show that the critical scaling behavior of random-field systems with
short-range interactions and disorder correlations cannot be described in
general by only two independent exponents, contrary to previous claims. This
conclusion is based on a theoretical description of the whole (d,N) domain of
the d-dimensional random-field O(N) model and points to the role of rare events
that are overlooked by the proposed derivations of two-exponent scaling. Quite
strikingly, however, the numerical estimates of the critical exponents of the
random field Ising model are extremely close to the predictions of the
two-exponent scaling, so that the issue cannot be decided on the basis of
numerical simulations. | | Source: | arXiv, 1304.4146 | | Services: | Forum | Review | PDF | Favorites | |
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