Specific Heat of Classical Disordered Elastic Systems

2003/01/31 by Grégory Schehr, Gregory Schehr, Thierry Giamarchi +1 · 2 citations
Computer Science · Engineering · Physics and Astronomy · #Fluid Dynamics and Thin Films #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevlett.91.117002

published as Phys. Rev. Lett. 91, 117002 (2003) · 4 pages, RevTex

arxiv created 2003/06/20 · openalex publication_date 2003/09/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 nonlinear elasticity that we evaluate. The contribution of droplets is subdominant at weak disorder in d=3.

Citations

• Thermal Conductivity and Specific Heat of Noncrystalline Solids
• Anomalous low-temperature thermal properties of glasses and spin glasses

Cited by

• Low Temperature Specific Heat of some Quantum Mean Field glassy phases
• Low-temperature properties of some disordered systems from the statistical properties of nearly degenerate two-level excitations