Inhomogeneous magnetization in dilute asymmetric and symmetric systems

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Abstract

A dilute nonsymmetric ferromagnet and a version of the Hopfield model are solved in the limit where the average number of inputs per spin is finite. The solution is based on the fact that the magnetization of each site is a function of the number and the type of inputs and their connection strengths. Extension of this solution to the symmetric case is discussed. The solution can also be extended to any other distribution of interactions.

Original languageEnglish
Pages (from-to)1891-1894
Number of pages4
JournalPhysical Review Letters
Volume60
Issue number19
DOIs
StatePublished - 9 May 1988
Externally publishedYes

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