Exact linear renormalization of a one-dimensional system with phase transition |
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| Authors: | H. J. Hilhorst |
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| Affiliation: | (1) Laboratorium voor Technische Natuurkunde, Technische Hogeschool, Delft, Holland |
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| Abstract: | We study by real-space renormalization a class of one-dimensional self-avoiding walks (SAWs) exhibiting a nonzero critical temperature. A linear renormalization transformation is carried out in closed form in a three-parameter subspace of SAW Hamiltonians. We find lines of fixed points along which the degree of localization of the fixed-point interactions varies. The role of the spin rescaling factor in the transformation is explicitly demonstrated. |
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| Keywords: | Real-space renormalization one-dimensional model self-avoiding walk linear renormalization group spin rescaling lines of fixed points |
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