Analytical Solution of Nonlinear Diffusion Equation Describing Interdiffusion of Gases |
| A.J. Janavičiusa and D. Jurgaitisb
a Faculty of Nature, Šiauliai University, P. Višinskio 19, 76351, Šiauliai, Lithuania b Faculty of Mathematics and Informatics, Šiauliai University, P. Višinskio 19, 76351 Šiauliai, Lithuania |
| Received: February 28, 2008; Revised version: July 20, 2009; In final form: October 12, 2009 |
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| The diffusion is the result of Brownian movement and occurs with a finite velocity. We consider the nonlinear diffusion equation, with diffusion coefficient directly proportional to the impurities concentration. In this case of diffusion from the constant source, the maximum displacements of diffusing particles are proportional to the square root of diffusion time. This result coincides with Brownian movement theory. The obtained analytically solutions were successfully applied for describing the diffusion and superdiffusion experiments' in solids. After theoretical consideration of application of this equation for diffusion in gases, we are investigating here the binary nonlinear diffusion in gases. We obtained the nonlinear interdiffusion equation, for the spherical symmetric case, and presented the approximate analytical solutions. |
| DOI: 10.12693/APhysPolA.116.1025 PACS numbers: 66.30.-h |