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Wavelength Selection in Systems Far from Equilibrium

Kramer, Lorenz and Ben-Jacob, Eshel and Brand, Helmut and Cross, M. C. (1982) Wavelength Selection in Systems Far from Equilibrium. Physical Review Letters, 49 (26). pp. 1891-1894. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:KRAprl82

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Abstract

It is shown that for systems developing stationary periodic patterns there exists at most one stable wavelength state if a supercritical region is connected to a subcritical one by the imposition of a slow spatial variation of the external parameters. In nonpotential systems the selected wavelength depends on the particular combination of parameters that vary but not on the (slow) rate of spatial variation. Suitable parameter variations force the system into a dynamic state.


Item Type:Article
Additional Information:©1982 The American Physical Society. Received 10 May 1982; revised 8 November 1982. We have benefited from discussion with P.C. Hohenberg, J.S. Langer, and A.C. Newell. This work was supported by the National Science Foundation under Grant No. PHY77-27084. Our work was also supported in part by the Deutsche Forschungsgemeinschaft, the Fulbright Commission, and the Weizmann Postdoctoral Fellowship Institution.
Record Number:CaltechAUTHORS:KRAprl82
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KRAprl82
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.49.1891
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7622
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:14 Mar 2007
Last Modified:18 Sep 2014 18:11

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