Thermodynamic Fingerprints of Disorder in Flux Line Lattices and other Glassy Mesoscopic Systems

Details Thermodynamic Fingerprints of Disorder in Flux Line Lattices and other Glassy Mesoscopic Systems Thermodynamic Fingerprints of Disorder in Flux Line Lattices and other Glassy Mesoscopic Systems

2000-03-02

arxiv.org/abs/cond-mat/0003031v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages

Scientific paper

10.1103/PhysRevLett.85.2176

We examine probability distributions for thermodynamic quantities in finite-sized random systems close to criticality. Guided by available exact results, a general ansatz is proposed for replicated free energies, which leads to scaling forms for cumulants of various macroscopic observables. For the specific example of a planar flux line lattice in a two dimensional superconducting film near H_c1, we provide detailed results for the statistics of the magnetic flux density, susceptibility, heat capacity, and their cross-correlations.

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