Upper and Lower Bounds on Transport Coefficients Arising from a Linearized Boltzmann Equation
- 5 September 1969
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 185 (1), 323-337
- https://doi.org/10.1103/physrev.185.323
Abstract
A systematic approach to the construction of upper and lower bounds for transport coefficients is presented for systems described by a linearized Boltzmann equation. The usefulness and efficacy of the bounds is tested by applying them to a particular Boltzmann equation whose solution is known. One easily calculable bound is found to differ from the exact result by less than 0.03%.Keywords
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