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Inhomogeneous Ising model on the Bethe lattice

✍ Scribed by L. Šamaj

Book ID: 108003056
Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 527 KB
Volume: 153
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(88)90238-5

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We give a simple proof that the limit Ising Gibbs measure with free boundary conditions on the Bethe lattice with the forward branching ratio k /> 2 is extremal if and only if/~ is less or equal to the spin glass transition value, given by tanh(Bc so) = 1/x/k.