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doi:10.1016/0375-9601(93)90463-A 
Copyright © 1993 Published by Elsevier Science B.V. All rights reserved.
Limit cycles in renormalization group flows: thermodynamics controls dances of space patterns
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Boris A. Veytsman1
Received 20 July 1993;
accepted 18 October 1993
Communicated by A.R. Bishop
Available online 10 September 2002.
Abstract
The thermodynamics of a system with a limit cycle in RG flows is studied. The unusual properties of such a system (damped periodic dependence of thermodynamic quantities on external parameters, “freezing” of metastable states, etc.) are discussed. It is shown that the condition of thermodynamic stability imposes rather strong restrictions on the possible form of the free energy and the correlation radius.
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1 On leave from: Physical Chemical Institute, 86 Chernomorskaya Doroga, Odessa 270080, Ukraine.
