Geodesic
Debye screening in spatially inhomogeneous systems of charged particles. I. Model of spherical insulator
Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 2, pp. 245-258 
A. I. Pilyavskii; A. L. Rebenko. Debye screening in spatially inhomogeneous systems of charged particles. I. Model of spherical insulator. Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 2, pp. 245-258. http://geodesic.mathdoc.fr/item/TMF_1986_69_2_a8/
@article{TMF_1986_69_2_a8,
     author = {A. I. Pilyavskii and A. L. Rebenko},
     title = {Debye screening in spatially inhomogeneous systems of charged particles. {I.~Model} of spherical insulator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {245--258},
     year = {1986},
     volume = {69},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_69_2_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In a medium with permittivity $\varepsilon$ there is a spherical insulator $\Omega_0$ of radius $R_0$ with permittivity $\varepsilon_0<\varepsilon$. A system of ions represented by charged impermeable spheres of radius $r_0$ whose distribution around the sphere $\Omega_0$ satisfies the Brydges–Federbush neutrality condition is considered. Initially, the system is in a finite volume $\Lambda$ (sphere of radius $R\gg R_0$), and the interaction satisfies a Dirichlet condition on $\partial\Lambda$. For sufficiently high values of the temperature convergence of the cluster expansions and existence of the distribution functions in the limit $R\to\infty$ ($\Lambda\nearrow\mathbb R^3$) are proved. It is established that there is exponential clustering of the distribution functions along the radial directions of the sphere $\Omega_0$ with a power-law decrease along the surface $\partial\Omega_0$.

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