The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation |
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| Authors: | CM da Fonseca Dan A Mazilu Irina Mazilu H Thomas Williams |
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| Institution: | 1. Departamento de Matemática, Universidade de Coimbra, 3001-501 Coimbra, Portugal;2. Department of Physics and Engineering, Washington and Lee University, Lexington, VA 24450, USA |
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| Abstract: | A straightforward model for deposition and evaporation on discrete cells of a finite array of any dimension leads to a matrix equation involving a Sylvester–Kac type matrix. The eigenvalues and eigenvectors of the general matrix are determined for an arbitrary number of cells. A variety of models to which this solution may be applied are discussed. |
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| Keywords: | Sylvester–Kac matrix Eigenvalues Eigenvectors |
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