Specific heat of classical disordered elastic systems

Abstract

We study the thermodynamics of disordered elastic systems, applied to vortex lattices in the Bragg glass phase. Using the replica variational method we compute the specific heat of pinned vortons in the classical limit. We find that the contribution of disorder is positive, linear at low temperature, and exhibits a maximum. It is found to be important compared to other contributions, e.g. core electrons, mean field and non linear elasticity that we evaluate. The contribution of droplets is subdominant at weak disorder in $d=3$.

arXiv comment4 pages, RevTex

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• Statistical, Collective and Critical Phenomena of Classical 1D Disordered Wigner Lattices
• Exact longitudinal plasmon dispersion relations for one and two dimensional Wigner crystals
• Specific Heat of Quantum Elastic Systems Pinned by Disorder