J. Phys. I France
Volume 1, Numéro 8, August 1991
Page(s) 1123 - 1130
DOI: 10.1051/jp1:1991194
J. Phys. I France 1 (1991) 1123-1130

Information transfer in the lattice gas on random lattices

A. Yu. Kitaev

L. D. Landau Institute for Theoretical Physics, Academy of Sciences of the U.S.S.R., 117940, Kosygina Str. 2, Moscow, U.S.S.R.

(Received 5 April 1991, accepted 25 April 1991)

A lattice gas model on a random graph with vertex connectivity p is studied. Information-theoretical arguments are used to verify the TAP equations and to identify the transition temperature. The transition from the low density phase to a glass phase is continuous at small p and discontinuous at large p.

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