Equations for the self-consistent field in random medium
Ramm, A. G.
arXiv, 0301046 / Harvested from arXiv
Text on arXiv
An integral-differential equation is derived for the self-consistent (effective) field in the medium consisting of many small bodies randomly distributed in some region. Acoustic and electromagnetic fields are considered in such a medium. Each body has a characteristic dimension $a\ll\lambda$, where $\lambda$ is the wavelength in the free space. The minimal distance $d$ between any of the two bodies satisfies the condition $d\gg a$, but it may also satisfy the condition $d\ll\lambda$. Using Ramm's theory of wave scattering by small bodies of arbitrary shapes, the author derives an integral-differential equation for the self-consistent acoustic or electromagnetic fields in the above medium.
Publié le : 2003-01-31
Classification:  Mathematical Physics,  73D25, 73D50, 78A45,  PACS 03.40Kf 05.45.+b 
@article{0301046,
     author = {Ramm, A. G.},
     title = {Equations for the self-consistent field in random medium},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301046}
}

Ramm, A. G. Equations for the self-consistent field in random medium. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301046/