Application of p-adic analysis to models of spontaneous breaking of the replica symmetry

Details Application of p-adic analysis to models of spontaneous breaking of the replica symmetry Application of p-adic analysis to models of spontaneous breaking of the replica symmetry

1999-04-26

arxiv.org/abs/cond-mat/9904360v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Latex, 8 pages

Scientific paper

10.1088/0305-4470/32/50/301

Methods of p-adic analysis are applied to the investigation of the spontaneous symmetry breaking in the models of spin glasses. A p-adic expression for the replica matrix is given and moreover the replica matrix in the models of spontaneous breaking of the replica symmetry in the simplest case is expressed in the form of the Vladimirov operator of p-adic fractional differentiation. Also the model of hierarchical diffusion (that was proposed to describe relaxation of spin glasses) investigated using p-adic analysis.

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