Abstract
A decreasing set of intermediate operators, L(N), are defined that are greater than the linearized Boltzmann operator in the sense that they correspond to collision models with a lower rate of entropy production. With these operators upper bounds for transport properties may be calculated to supplement the lower bounds calculated by the usual variation method. Two examples are given, both for the rigid-sphere model. One is the thermal conductivity, and the other, the perturbation to the reaction rate by the depletion of the faster moving molecules. In the second instance, new lower bounds are calculated as well. The extension to other collision models is indicated. We also find that a measured transport property determines a mean relaxation frequency that must lie within the spectrum of relaxation frequencies of the fluctuation variable corresponding to the flux.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
