期刊
PHYSICAL REVIEW E
卷 89, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.89.012915
关键词
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资金
- Belgian Science Policy Office (BeISPO) [IAP 7-35]
- Spanish MINECO
- FEDER under Project FISICOS [FIS2007-60327]
- FEDER under Project DeCoDicA [TEC2009-14101]
- FEDER under Project INTENSE@COSYP [FIS2012-30634]
- FEDER under Project TRIPHOP [TEC2012-36335]
- Comunitat Autonoma de les Illes Balears
- Research Foundation-Flanders (FWO)
We study the influence of a linear nonlocal spatial coupling on the interaction of fronts connecting two equivalent stable states in the prototypical 1-dimensional real Ginzburg-Landau equation. While for local coupling the fronts are always monotonic and therefore the dynamical behavior leads to coarsening and the annihilation of pairs of fronts, nonlocal terms can induce spatial oscillations in the front, allowing for the creation of localized structures, emerging from pinning between two fronts. We show this for three different nonlocal influence kernels. The first two, mod-exponential and Gaussian, are positive definite and decay exponentially or faster, while the third one, a Mexican-hat kernel, is not positive definite.
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