caa a22 4500 445866349 CHVBK 20180317145459.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1140/epjd/e2010-10323-8 doi (NATIONALLICENCE)springer-10.1140/epjd/e2010-10323-8 Escaff D. Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Av. San Carlos de Apoquindo 2200, Santiago, Chile aut Non-local defect interaction in one-dimension: weak versus strong non-locality [Elektronische Daten] [D. Escaff] Abstract.: Defect interaction (kink-antikink interaction) is studied for a prototypical model for non-local interaction. Mathematically, it is a bistable integrodifferential model, where the non-local interaction is performed due to an integral kernel. The system is able to establish domains where it is in one of its two equilibria, separated by defects. It is shown that the defect interaction depends on the asymptotical behavior of the integral kernel. In the weak non-local regime, when the integral kernel decays faster than an exponential at infinitum, the defect interaction is exponentially weak. Hence, this case is qualitatively similar to the local one. On the other hand, in the strong non-local regime, when the integral kernel decays slower than an exponential at infinitum, the defect interaction is ruled by the asymptotical behavior of the integral kernel. In this case, the defect interaction is stronger, and could be characterized, for instance, by a power law. The effect of this transition (from the weak to strong non-locality) on the domain dynamics is discussed. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2010 The European Physical Journal D Springer-Verlag 62/1(2011-03-01), 33-38 1434-6060 62:1<33 2011 62 10053 https://doi.org/10.1140/epjd/e2010-10323-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2010-10323-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Escaff D. Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Av. San Carlos de Apoquindo 2200, Santiago, Chile aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 62/1(2011-03-01), 33-38 1434-6060 62:1<33 2011 62 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer