Abstract
Abstract In this Letter we establish the equivalence of the two-dimensional nonoverlapping Lorentz gas and the Ehrenfests' wind-tree model considering round (instead of square) trees. To obtain the Boltzmann equation for this latter model we use the infinite polygonal limit which turns out to be smooth and continuous. Finally we present the general solution of the Boltzmann equation which provides a simple discussion on the ergodicity of the model.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.