Speight, J.M and Sutcliffe, P.M. (2001) Discrete breathers in anisotropic ferromagnetic spin chains. Journal of Physics A: Mathematical and General., 34 (49). pp. 10839-10858. ISSN 0305-4470.
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We prove the existence of discrete breathers (time-periodic, spatially localized solutions) in weakly coupled ferromagnetic spin chains with easy-axis anisotropy. Using numerical methods we then investigate the continuation of discrete breather solutions as the intersite coupling is increased. We find a band of frequencies for which the one-site breather continues all the way to the soliton solution in the continuum. There is a second band, which abuts the first, in which the one-site breather does not continue to the soliton solution, but a certain multi-site breather does. This banded structure continues, so that in each band there is a particular multi-site breather which continues to the soliton solution. A detailed analysis is presented, including an exposition of how the bifurcation pattern changes as a band is crossed. The linear stability of breathers is analysed. It is proved that one-site breathers are stable at small coupling, provided anon-resonance condition holds, and an extensive numerical stability analysis of one-site and multisite breathers is-performed. The results show alternating bands of stability and instability as the coupling increases.
|Uncontrolled keywords:||SELF-TRAPPING EQUATION; EXISTENCE; LATTICES; NETWORKS; LOCALIZATION; EXCITATIONS; OSCILLATORS; STABILITY; SOLITONS|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics|
|Depositing User:||Judith Broom|
|Date Deposited:||27 Oct 2008 12:42|
|Last Modified:||14 Jan 2010 14:29|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/7986 (The current URI for this page, for reference purposes)|
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