Non-universal critical behaviour in mean-field theory of inhomogeneous systems

Ferenc Iglói and Gábor Palágyi

Physica A: Statistical Mechanics and its Applications, 1997, vol. 240, issue 3, 685-693

Abstract: We consider the layered magnetic systems with inhomogeneous inter-layer couplings and study their critical properties within the framework of mean-field theory. We consider two kinds of distribution of the couplings: (i) quasi-periodic, according to the Fibonacci sequence and (ii) smoothly inhomogeneous, in which the couplings deviate from the bulk couplings by an amount of Al−2, where l measures the distance from a free surface. According to analytical and accurate numerical results the critical behaviour of both the problems is non-universal and the corresponding critical exponents are coupling dependent.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:240:y:1997:i:3:p:685-693

DOI: 10.1016/S0378-4371(97)00035-6

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