An exact relation expressing the difference current and the derivative of the scalar neutron fl ux via a coeffi cient of proportionality is obtained. This relation is defined as the kinetic Fick’s law. It is shown that Fick’s law in the elementary theory of diffusion is a particular case of the kinetic law. The conventional criterion of the diffusion approximation is supplemented by a condition that expands the range of application of the diffusion approximation. The conceptual scheme of a method termed the integral-differential method of solving the transport equation on the basis of the kinetic Fick’s law is presented.
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Translated from Atomnaya Énergiya, Vol. 120, No. 3, pp. 123–130, March, 2016.
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Seliverstov, V.V. Kinetic Fick’s Law and the Integral-Differential Method of Solving the Neutron Transport Equation. At Energy 120, 153–164 (2016). https://doi.org/10.1007/s10512-016-0111-1
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DOI: https://doi.org/10.1007/s10512-016-0111-1