Pattern formation in systems with nonlocal interactions |
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Authors: | B. N. Belintsev M. A. Livshits M. V. Volkenstein |
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Affiliation: | (1) Institut für Physik der Universität, Klingelbergstrasse 82, CH-4056 Basel, Switzerland |
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Abstract: | One-dimensional lattices with harmonic coupling between neighboring lattice sites and an on-site anharmonic potential V()=A2n+2 + n+2 + C2 + D are examined in the displacive limit. Kink solutions, interpolating between the coexistent phases =0 and =±(C/A)1/2n at theT=0 first-order phase transition pointB2=4AC,A, C>0,B<0,D=0 are found in simple analytic form and their dependence on the degree of anharmonicity (n=2, 4, 6, ...) is discussed. It is shown that, at the phase transition point, the kinks are accompanied by a continuous spectrum of periodic nonlinear excitations (periodons) having finite energy density.Work supported by the Swiss National Science Foundation |
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