Replica-symmetric solutions of a dilute Ising ferromagnet in a random field |
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Authors: | Hase M O de Almeida J RL Salinas S R |
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Institution: | 1.Instituto de Física, Universidade de S?o Paulo, Caixa Postal 66318, 05315-970, S?o Paulo, SP, Brazil ;2.Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, Brazil ; |
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Abstract: | We use the replica method in order to obtain an expression for the
variational free energy of an Ising ferromagnet on a Viana-Bray lattice in
the presence of random external fields. Introducing a global order
parameter, in the replica-symmetric context, the problem is reduced to the
analysis of the solutions of a nonlinear integral equation. At zero
temperature, and under some restrictions on the form of the random fields,
we are able to perform a detailed analysis of stability of the
replica-symmetric solutions. In contrast to the behaviour of the
Sherrington-Kirkpatrick model for a spin glass in a uniform
field, the paramagnetic solution is fully stable in a sufficiently large
random field. |
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