dorsal/arxiv
View SchemaLong-range interacting solitons: pattern formation and nonextensive thermostatistics
| Authors | L. E. Guerrero, J. A. Gonzalez |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9905010 |
| URL | https://arxiv.org/abs/patt-sol/9905010 |
| DOI | 10.1016/S0378-4371(98)00165-4 |
| Journal | Physica A 257, 390 (1998) |
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 in such a way that the interaction forces between the topological defects decay so slowly that the system enters the nonextensivity regime.
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"abstract": "The nonlinear Klein-Gordon equation with a different potential that satisfies\nthe degeneracy properties discussed in this paper possesses solitonic solutions\nthat interact with long-range forces. We generalize the Ginzburg-Landau\nequation in such a way that the topological defects supported by this equation\npresent long-range interaction both in D = 1 and D \u003e 1. Finally, we construct a\nsystem of two equations with two complex order parameters in such a way that\nthe interaction forces between the topological defects decay so slowly that the\nsystem enters the nonextensivity regime.",
"arxiv_id": "patt-sol/9905010",
"authors": [
"L. E. Guerrero",
"J. A. Gonzalez"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0378-4371(98)00165-4",
"journal_ref": "Physica A 257, 390 (1998)",
"title": "Long-range interacting solitons: pattern formation and nonextensive thermostatistics",
"url": "https://arxiv.org/abs/patt-sol/9905010"
},
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