Author:
Babich A.V.,Klepikov V.F.
Abstract
A class of models, which describe the critical phenomena in anisotropic multidimensional systems with both higher-order spatial order parameter (OP) derivatives and higher OP nonlinearities is proposed. Such models may be useful in the study of phase transitions in early universe cosmology; inflation cosmology; superstring, p-branes and other non-point objects theories. Both the upper and the lower critical dimensions of the models were calculated. It allows one to define the ranges of the mean-field theory applicability for describing critical phenomena in the proposed models.
Publisher
Problems of Atomic Science and Technology
Subject
Inorganic Chemistry,General Materials Science,Geology,General Engineering,Philosophy,Sociology and Political Science,Geotechnical Engineering and Engineering Geology,Sociology and Political Science,Religious studies,Literature and Literary Theory,History,Marketing,Public Administration,Sociology and Political Science,Public Administration,Sociology and Political Science,Law,Library and Information Sciences,Sociology and Political Science
Reference13 articles.
1. A.Z. Patashinskii and V.L. Pokrovskii. Fluctuation Theory of Phase Transition. Pergamon Press, New York, 1979.
2. A.I. Olemskoy, V.F. Klepikov. The theory of spatiotemporal patterns in nonequilibrium systems // Physics Reports. 2000, v. 338, p. 571-677.
3. A.M. Polyakov. Gauge Fields and Strings. Switzerland: Harwood Academic Publishers, 1987.
4. A.V. Babich, L.N. Kitcenko, V.F. Klepikov. Critical dimensions of systems with joint multicritical and lifshitz-point-like behavior // Modern Physics Letters B. 2011, v. 25, No. 22, p. 1839-1845.
5. J. C. Toledano and P. Tol´edano. The Landau Theory of Phase Transitions. Application to Structural, Incommensurate, Magnetic and Liquid Crystal Systems. World Scientific, 1987.