dc.contributor.author Schmidt, V. Hugo dc.date.accessioned 2015-03-23T21:11:21Z dc.date.available 2015-03-23T21:11:21Z dc.date.issued 1979-12 dc.identifier.citation V.H. Schmidt, â€œExact solution in the discrete case for solitons propagating in a chain of harmonically coupled particles lying in double-minimum potential wells,â€� Phys. Rev. B 20, 4397-4405 (1979) en_US dc.identifier.issn 1098-0121 dc.identifier.uri https://scholarworks.montana.edu/xmlui/handle/1/8944 dc.description.abstract Solitons of the form xn=x0tanh(ωt−kna) can propagate in a chain of harmonically coupled particles in the discrete case if the potential −1/2Axn^2+1/4Bxn^4 giving such solitions in the continuum limit is suitably modified. This modified potential is expressible in closed form, and its shape is a function of ω and k. For large ω the maximum at xn=0 becomes a minimum, giving a triple-minimum potential. Potential shapes and particle positions are illustrated for various (ω,k) combinations. The total energy and its kinetic, potential, and spring energy constituents are also expressible in closed form. In the continuum limit the total energy has the form E=(m0cS^2)/(1−v^2/cS^2)^1/2, where m0 is the soliton effective mass, v is the soliton speed, and cS is the speed of sound in the mass-spring chain. en_US dc.subject Physics en_US dc.subject Applied mathematics en_US dc.title Exact solution in the discrete case for solitons propagating in a chain of harmonically coupled particles lying in double-minimum potential wells en_US dc.type Article en_US mus.citation.extentfirstpage 4397 en_US mus.citation.extentlastpage 4405 en_US mus.citation.issue 11 en_US mus.citation.journaltitle Physical Review B en_US mus.citation.volume 20 en_US mus.identifier.category Physics & Mathematics en_US mus.identifier.doi 10.1103/physrevb.20.4397 en_US mus.relation.college College of Letters & Science mus.relation.college College of Letters & Science en_US mus.relation.department Physics. en_US mus.relation.university Montana State University - Bozeman en_US
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