On mathematical foundation of the Brownian motor theoryReportar como inadecuado



 On mathematical foundation of the Brownian motor theory


On mathematical foundation of the Brownian motor theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Descargar gratis o leer online en formato PDF el libro: On mathematical foundation of the Brownian motor theory
The paper contains mathematical justification of basic facts concerning the Brownian motor theory. The homogenization theorems are proved for the Brownian motion in periodic tubes with a constant drift. The study is based on an application of the Bloch decomposition. The effective drift and effective diffusivity are expressed in terms of the principal eigenvalue of the Bloch spectral problem on the cell of periodicity as well as in terms of the harmonic coordinate and the density of the invariant measure. We apply the formulas for the effective parameters to study the motion in periodic tubes with nearly separated dead zones.



Autor: L. Koralov; S. Molchanov; B. Vainberg

Fuente: https://archive.org/







Documentos relacionados