Upper and Lower Bounds on Transport Coefficients Arising from a Linearized Boltzmann Equation

H. Højgaard Jensen; Henrik Smith; John W. Wilkins

doi:10.1103/PhysRev.185.323

Upper and Lower Bounds on Transport Coefficients Arising from a Linearized Boltzmann Equation

H. Højgaard Jensen, Henrik Smith, and John W. Wilkins

Phys. Rev. 185, 323 – Published 5 September 1969

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%.

Received 28 April 1969

DOI:https://doi.org/10.1103/PhysRev.185.323

Authors & Affiliations

H. Højgaard Jensen

Physical Laboratory I, H. C. Ørsted Institute, University of Copenhagen, Denmark

Henrik Smith^* and John W. Wilkins^†

Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14850

^*Permanent address: Fysisk Laboratorium I, H. C. Ørsted Institutet, Copenhagen.
^†Alfred P. Sloan Foundation Fellow.

References (Subscription Required)

Click to Expand

Issue

Vol. 185, Iss. 1 — September 1969

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review Journals Archive

Published by the American Physical Society