Long-range interacting solitons: pattern formation and nonextensive thermostatistics

L.E. Guerrero and J.A. González

Physica A: Statistical Mechanics and its Applications, 1998, vol. 257, issue 1, 390-394

Abstract: The nonlinear Klein–Gordon equation with a different potential that satisfies the degeneracy properties discussed in this paper possesses solitonic solutions that interact with long-range forces. We generalize the Ginzburg–Landau equation in such a way that the topological defects supported by this equation present long-range interaction both in D=1 and D>1. Finally, we construct a system of two equations with two complex order parameters for which the interaction forces between the topological defects decay so slowly that the system enters the nonextensivity regime.

Keywords: Solitons; Long-range interactions; Pattern formation (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:257:y:1998:i:1:p:390-394

DOI: 10.1016/S0378-4371(98)00165-4

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