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Nonstationary diffusion in a multiphase medium

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Abstract

The process of nonstationary diffusion of matter in a multiphase medium with sharp steps of the diffusion coefficient and an arbitrary number of phases is considered. The boundary conditions at the points of phase separation are determined. An exact solution is obtained, and the nonstationary concentration of matter is shown to be described by an infinite superposition of time-dependent Gaussian curves. Some examples are proposed and the results obtained are interpreted physically.

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Authors
  1. A. N. Malakhov
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  2. A. L. Mladentsev
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Additional information

State University, Nizhny Novgorod. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 38, Nos. 1–2, pp. 56–68, January–February, 1995.

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Malakhov, A.N., Mladentsev, A.L. Nonstationary diffusion in a multiphase medium. Radiophys Quantum Electron 38, 38–46 (1995). https://doi.org/10.1007/BF01051857

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  • DOI: https://doi.org/10.1007/BF01051857

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