A Condition Equivalent to Ferromagnetism for a Generalized Ising Model

نویسنده

  • Douglas G. Kelly
چکیده

JBSTRACT In the real algebra R(G) over a certain finite group, the operator exp is defined. A condition is stated on exp J which is necessary and sufficient for J in R(G) to be nonnegative (where J is viewed as a function G + R). Physically, this amounts to a condition on the correlations of a generalized system of Ising spins which is necessary and sufficient for the ferromagnetism of the system.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 12  شماره 

صفحات  -

تاریخ انتشار 1972