Topological defects with long-range interactions |
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| Institution: | 1. International Centre of Condensed Matter Physics, Universidade de Brasília, P.O. Box 04513, CEP 70919-970, Brasília, DF, Brazil;2. Centro de Física, Instituto Venezolano de Investigaciones Científicas, Apartado 21827, Caracas 1020-A, Venezuela;3. Departamento de Física, Facultad Experimental de Ciencias, Universidad del Zulia, Maracaibo 4011, Venezuela;1. Institut PPRIME, Département Fluide-Thermique-Combustion, Boulevard Pierre et Marie Curie, BP 30179, 86962, Futuroscope-Chasseneuil, France;2. Departamento de Física Aplicada III, Universidad de Sevilla, ESI, Camino de los Descubrimientos s/n, 41092, Sevilla, Spain;3. Departamento de Electrónica y Electromagnetismo, Universidad de Sevilla, Facultad de Física, Avenida Reina Mercedes s/n, 41012, Sevilla, Spain |
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| Abstract: | We investigate a modified sine-Gordon equation which possesses soliton solutions with long-range interaction. We introduce a generalized version of the Ginzburg-Landau equation which supports long-range topological defects in D = 1 and D > 1. The interaction force between the defects decays so slowly that it is possible to enter the non-extensivity regime. These results can be applied to non-equilibrium systems, pattern formation and growth models. |
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