تقرير
Kinetic theory of diffusion in a channel of varying cross section
العنوان: | Kinetic theory of diffusion in a channel of varying cross section |
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المؤلفون: | Brey, J. Javier, de Soria, M. I. García, Maynar, P. |
سنة النشر: | 2024 |
المجموعة: | Condensed Matter |
مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics |
الوصف: | Self-diffusion along the longitudinal coordinate in a channel of varying cross section is considered. The starting point is the two-dimensional Enskog-Boltzmann-Lorentz kinetic equation with appropriated boundary conditions. It is integrated over the transversal coordinate to get an approximated one-dimensional kinetic equation, keeping the relevant properties of the original one. Then, a macroscopic equation for the time evolution of the longitudinal density is derived, by means of a modified Chapman-Enskog expansion method, that takes into account the inhomogeneity of the equilibrium longitudinal density. This transport equation has the form of the phenomenological Ficks-Jacobs equation, but with an effective diffusion coefficient that contains corrections associated to the variation of the slope of the equilibrium longitudinal density profile. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2407.04300 |
رقم الأكسشن: | edsarx.2407.04300 |
قاعدة البيانات: | arXiv |
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