Replica Theory and Large D Josephson Junction Hypercubic Models

Details Replica Theory and Large D Josephson Junction Hypercubic Models Replica Theory and Large D Josephson Junction Hypercubic Models

1995-02-16

arxiv.org/abs/cond-mat/9502067v1

Physics

Condensed Matter

latex 35 pages, including figures added in uufiles format

Scientific paper

10.1088/0305-4470/28/16/008

We study the statistical mechanics of a $D$-dimensional array of Josephson junctions in presence of a magnetic field on a lattice of side $2$. In the high temperature region the thermodynamical properties can be computed in the limit $D \to \infty$. A conjectural form of the thermodynamic properties in the low temperature phase is obtained by assuming that they are the same of an appropriate spin glass system, based on quenched disordered couplings. Numerical simulations show that this conjecture is very accurate in one regime of the magnetic field, while it is probably slightly inaccurate in a second regime.

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