Fluctuation bounds on charge and heat diffusion
arXiv:1407.0690 · doi:10.1088/1751-8113/48/26/265002
Abstract
We study thermal fluctuation corrections to charge and heat conductivity in systems with locally conserved energy and charge, but without locally conserved momentum. Thermal fluctuations may naturally lead to a lower bound on diffusion constants for thermoelectric transport, and need to be taken into account when discussing potential bounds on transport coefficients.
8 pages. v2: minor clarifications, published version
References in corpus (4)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Theory of universal incoherent metallic transport
- The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics
- Hydrodynamic fluctuations and the minimum shear viscosity of the dilute Fermi gas at unitarity
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