Exact solution in the discrete case for solitons propagating in a chain of harmonically coupled particles lying in double-minimum potential wells | Zendy

V. Hugo Schmidt | Zendy

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Exact solution in the discrete case for solitons propagating in a chain of harmonically coupled particles lying in double-minimum potential wells

Author(s) -

V. Hugo Schmidt

Publication year - 1979

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.20.4397

Subject(s) - physics , omega , chain (unit) , energy (signal processing) , soliton , mathematical physics , limit (mathematics) , potential energy , quantum mechanics , combinatorics , atomic physics , mathematical analysis , mathematics , nonlinear system

um limit is suitably modified. This modified potential is expressible in closed form, and its shape is a function of ~ and k. For large cv the maximum. at x„=0 becomes a minimum, giving a triple-minimum potential. Potential shapes and particle positions are illustrated for various (~,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 = moc, /(1 —v /c, ) ', where mo is the soliton effective mass, v is the soliton speed, and c, is the speed of sound in the mass-spring chain.

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