caa a22 4500 469099569 CHVBK 20180323133041.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF00420236 doi (NATIONALLICENCE)springer-10.1007/BF00420236 Etori Kanji Department of Applied Physics, Faculty of Engineering, Miyazaki University, 889-21, Miyazaki, Japan aut Solution of a diffusion equation of smoke molecules due to constant point source in gravitational field [Elektronische Daten] [Kanji Etori] From both the Langevin equation, including a gravitational term, the Fokker-Planck equation based on the dynamical behavior of Brownian particles, and equation of smoke molecular diffusion due to a constant point source is introduced and is solved by applying the Laplace transformation with the convolution theorem. The solution is expressed by the complementary error function with a mean pathway of smoke molecules affected by gravity and is proved to be reduced to conventional forms by a certain restriction neglecting gravity without any forced term. Kluwer Academic Publishers, 1992 Letters in Mathematical Physics Kluwer Academic Publishers 26/4(1992-12-01), 271-275 0377-9017 26:4<271 1992 26 11005 https://doi.org/10.1007/BF00420236 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00420236 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Etori Kanji Department of Applied Physics, Faculty of Engineering, Miyazaki University, 889-21, Miyazaki, Japan aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 26/4(1992-12-01), 271-275 0377-9017 26:4<271 1992 26 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer