Solutions to steady-state generalized Smoluchovski equation with reinforced source

Journal of Shanghai University (English Edition) - Tập 4 - Trang 204-209 - 2000
Yu Xue1,2, Guang-zhi Chen2
1Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, China
2Department of Physics, Guangxi University, Nanning China

Tóm tắt

The generalized Smoluchovski equation with reinforced source is analysed. The asymptotic expression of the size distribution of cluster C m(t) is obtained by seeking the steady-state solution and post-gel solution of the generalized Smoluchovski equation with reinforced source. The result can be verified by Friedlander’s experiment.

Tài liệu tham khảo

Smoluchovski M. V., Z. Phys., 1916, 17:577,585 Friedlander S. K., Smoke, Dust and Haze, New York, Wiley Interscience, 1977 Ziff R.M., J.Stat. Phys., 1980, 23: 241 Robinson J.E., Phys. Rev., 1951, 83: 678 Yu Jiang, Hu Gang, Ma Benkun, Phys. rev., 1989, B40:661 Yu Jiang, Hu Gang, Phys. Rev., 1989, B39:4659 Yu Jiang, Hu Gang, Ma Benkun, Commun. Theor. Phys., 1989, 12: 395 Yu Jiang, Hu Gang, Commun. Theor. Phys., 1989, 11: 255 Klett J.D., J. Atom. Sci. 1975,12:380 Crump J. G., Seinfield J. H., J. Coll. Inter. Sci., 1980, 2: 90 White W.H., Coll J., Inter. Sci., 1980, 2: 90 Ziff R.M., Ernst M.H., Hendriks E.M., J. Phys. A: Math. Gen., 1983, 16: 2293–2320 Hayakawa H., J. Phys. A: Math. Gen., 1987, 20: L801 Hendriks E. M., Ziff R. M., Ernst M. H., J. Stat. Phys., 1983, 31: 519 Friedlander S.K., J. Metor., 1960, 17: 479–483