Physics of complex alloys -- one dimensional relaxation problem and the role of total energy calculation (Q2811529)
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scientific article; zbMATH DE number 6592168
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Physics of complex alloys -- one dimensional relaxation problem and the role of total energy calculation |
scientific article; zbMATH DE number 6592168 |
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10 June 2016
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complex material
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Riemann surface
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relaxation problem
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nonlinear parabolic equation
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para-quaternions
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Physics of complex alloys -- one dimensional relaxation problem and the role of total energy calculation (English)
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The authors use \textit{R. Kikuchi}'s approach [Phys. Rev., II. Ser. 81, 988--1003 (1951; Zbl 0043.44002)] to describe alloys with properties expressed by means of complex algebras constructed by the Cayley-Dickson process. Various Riemann surfaces associated to the algebras are constructed. The results are applied to linearization of the one-dimensional stochastic relaxation problem modeled by a parabolic differential equation.
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