Magnetization of Each Site in Ising Model under Weak Field on the Cayley Tree

1 January 1976

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 55 (1) , 81-89
https://doi.org/10.1143/ptp.55.81

Abstract

Magnetization of each site in the ferromagnetic Ising model under weak field on the finite Cayley tree is studied in the limit of large size. It is shown numerically that below the Bethe transition temperature T_B, magnetization per spin increases exponentially from the surface to the interior and converges to a certain value which is determined by the Bethe approximation. The results obtained are explained theoretically using the recurrence formula for the partition function.

Keywords

ISING MODEL
WEAK FIELD
MODEL UNDER WEAK
FERROMAGNETIC
CONVERGES
CAYLEY TREE
BETHE
RECURRENCE

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