@inbook {2380, title = {Compact Collision Kernels for Hard Sphere and Coulomb Cross Sections; Fokker-Planck Coefficients}, booktitle = {Rarefied Gas Dynamics}, series = {Aip Conference Proceedings}, volume = {1084}, year = {2009}, note = {ISI Document Delivery No.: BJF97Times Cited: 0Cited Reference Count: 26Chang, Yongbin Shizgal, Bernie D.Proceedings Paper26th International Symposium on Rarefied Gas Dynmaics (RGD26)JUN 20-JUL 25, 2008Kyoto, JAPANJapan Soc Promot Sci, Japan Aerpspace Explorat Agcy, Soc Promot Space Sci, Iwantani Naoji Fdn, Inoue Fdn Sci, Casio Sci Promot Fdn, Kaijma Fdn, IHI Corp, IHI Aerospac Engn Co Ltd, Osaka Vaccuun Ltd, Nissin Inc2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA}, pages = {140-145}, publisher = {Amer Inst Physics}, organization = {Amer Inst Physics}, address = {Melville}, abstract = {A compact collision kernel is derived for both hard sphere and Coulomb cross sections. The difference between hard sphere interaction and Coulomb interaction is characterized by a parameter eta. With this compact collision kernel, the calculation of Fokker-Planck coefficients can be done for both the Coulomb and hard sphere interactions. The results for arbitrary order Fokker-Planck coefficients are greatly simplified. An alternate form for the Coulomb logarithm is derived with concern to the temperature relaxation in a binary plasma.}, keywords = {Boltzmann collision term, collision frequency, cross, cut-off, EIGENVALUES, Fokker-Planck coefficients, GAS, Kernel, relaxation, SCATTERING, section, temperature relaxation}, isbn = {0094-243X978-0-7354-0615-5}, url = {://000265564800022}, author = {Chang, Y. B. and Shizgal, B. D.}, editor = {Abe, T.} }