Nonlocality-induced front-interaction enhancement

by Gelens, L., Gomila, D., Van der Sande, G., Matías, M. A. and Colet, P.
Abstract:
We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting two equivalent states. In two prototype models we observe a large amplification in the interaction strength between two opposite fronts increasing front velocities several orders of magnitude. By analyzing the spatial dynamics we prove that way beyond quantitative effects, nonlocal terms can also change the overall qualitative picture by inducing oscillations in the front profile. This leads to a mechanism for the formation of localized structures not present for local interactions. Finally, nonlocal coupling can induce a steep broadening of localized structures, eventually annihilating them.
Reference:
Nonlocality-induced front-interaction enhancement (Gelens, L., Gomila, D., Van der Sande, G., Matías, M. A. and Colet, P.), In Physical Review Letters, volume 104, 2010.
Bibtex Entry:
@article{gelens_nonlocality-induced_2010,
	title = {Nonlocality-{induced} {front}-{interaction} {enhancement}},
	volume = {104},
	url = {http://link.aps.org/doi/10.1103/PhysRevLett.104.154101},
	doi = {10.1103/PhysRevLett.104.154101},
	abstract = {We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting two equivalent states. In two prototype models we observe a large amplification in the interaction strength between two opposite fronts increasing front velocities several orders of magnitude. By analyzing the spatial dynamics we prove that way beyond quantitative effects, nonlocal terms can also change the overall qualitative picture by inducing oscillations in the front profile. This leads to a mechanism for the formation of localized structures not present for local interactions. Finally, nonlocal coupling can induce a steep broadening of localized structures, eventually annihilating them.},
	number = {15},
	urldate = {2016-11-07},
	journal = {Physical Review Letters},
	author = {Gelens, L. and Gomila, D. and Van der Sande, G. and Matías, M. A. and Colet, P.},
	month = apr,
	year = {2010},
	pages = {154101},
	file = {APS Snapshot:/home/jan/.zotero/zotero/djuw86a6.default/zotero/storage/6VPMC4S5/PhysRevLett.104.html:text/html}
}