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TMF, 1992 Volume 92, Number 1, Pages 98–112 (Mi tmf5670)

Limit distribution function of inhomogeneities in regions with random boundary. I

M. Yu. Rasulova

Institute for Nuclear Physics of Uzbekistan Academy of Sciences

Abstract: A study is made of the interaction of systems of charged particles with a membrane consisting of inhomogeneities randomly distributed in accordance with the same law in the neighborhoods of corresponding sites of a planar crystal lattice. A system of equations for the self-consistent potential $U_1(x,\xi^0,\dots,\xi^N,\dots)$ and density of surface charges $\sigma(x,\xi^0,\dots,\xi^N,\dots)$ is derived and solved.

Received: 21.11.1991


 English version:
Theoretical and Mathematical Physics, 1992, 92:1, 763–772

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© Steklov Math. Inst. of RAS, 2026