Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior
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چکیده
35 where the expectation value is deened by hA(x)i = R dx e ?x 2 p 2 cosh m (p 2x)A(x) R dx e ?x 2 p 2 cosh m (p 2x) : (62) Inserting in (56) this value of we have searched among the 5 values of g the one which gives the maximum free energy when the stability is marginal (i.e. when (56) is saturated). We have found that the eigenvalue g 5 is the one which gives the maximal free energy. This leads us to the marginality condition (46). We have searched for a solution of the marginality condition in which m behaves linearly with T for low temperatures, but we have not been able to nd it. It is plausible that such well behaved solution does not exist and that to improve our solution one would need to break the replica symmetry with a larger number of steps.
منابع مشابه
Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior
We introduce and study a model which admits a complex landscape without containing quenched disorder. Continuing our previous investigation we introduce a disordered model which allows us to reconstruct all the main features of the original phase diagram, including a low T spin glass phase and a complex dynamical behavior. cond-mat/9406074 ROM2F/94/016 Roma-La Sapienza 1027
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