Domain wall and periodic solutions of coupled Asymmetric Double Well models

Khare, Avinash ; Saxena, Avadh (2007) Domain wall and periodic solutions of coupled Asymmetric Double Well models Journal of Mathematical Physics, 48 (4). 043302_1-043302_19. ISSN 0022-2488

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Official URL: http://jmp.aip.org/resource/1/jmapaq/v48/i4/p04330...

Related URL: http://dx.doi.org/10.1063/1.2716202

Abstract

Coupled asymmetric double well (aφ2-bφ3+cφ4) one-dimensional potentials arise in the context of first order phase transitions both in condensed matter physics and field theory. Here we provide an exhaustive set of exact periodic solutions of such a coupled asymmetric model in terms of elliptic functions (domain wall arrays) and obtain single domain wall solutions in specific limits. We also calculate the energy and interaction between solitons for various solutions. Both topological (kinklike at T = Tc) and nontopological (pulselike for T ≠ Tc) domain wall solutions are obtained. We relate some of these solutions to domain walls in hydrogen bonded materials and also in the field theory context. As a by-product, we also obtain a new one parameter family of kink solutions of the uncoupled asymmetric double well model.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Phase Transformations; Elliptic Equations; Solitons; Topology
ID Code:83293
Deposited On:20 Feb 2012 06:35
Last Modified:19 May 2016 00:12

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