Publication: Soliton pinning by long-order in aperiodic systems
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ISSN: 1539-3755 (print version)
ISSN: 1550-2376 (online version)
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1995-09
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American Physical Society
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Abstract
We investigate propagation of a kink soli ton along inhomogeneous chains with two different constituents,
arranged either periodically, aperiodically, or randomly. For the discrete sine-Gordon equation and the Fibonacci
and Thue-Morse chains taken as examples, we have found that the phenomenology of aperiodic
systems is very peculiar: On the one hand, they exhibit soliton pinning as in the random chain, although the
depinning forces are clearly smaller. In addition, solitons are seen to propagate differently in the aperiodic
chains than on periodic chains with large unit cells, given by approximations to the full aperiodic sequence. We
show that most of these phenomena can be understood by means of simple collective coordinate arguments,
with the exception of long-range order effects. In the conclusion we comment on the interesting implications
that our work could bring about in the field of solitons in molecular (e.g., DNA) chains.
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Physical Review E, vol. 52, n. 3, sep. 1995. Pp. R2183-R2186