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- W2017441489 abstract "The thermodynamical properties of non-linear systems capable of supporting more than one kink excitation and more than one kind of extended mode are studied in the displacive limit and at very low temperatures. The author's attention is concentrated on a class of parametrised non-linear potentials V( Phi , r) whose shapes can be varied continuously as a function of a parameter r and which are doubly periodic, such as the double-well doubly periodic (DWDP) and the asymmetric doubly periodic (ASDP) cases proposed by Remoissenet and Peyrard (1981,2). In the chosen limits, the Fredholm integral equation of the transfer integral operator can be converted into an 'effective' Schrodinger equation depending on a large parameter. An asymptotic method recently developed by Croitoru et al (1984) for the evaluation-to leading order in the large parameter-of the eigenspectrum of the Schrodinger-like equation corresponding to systems that admit a single kink solution, as well as a single type of extended mode, is extended to treat systems supporting polykink solutions and two types of extended modes." @default.
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- W2017441489 date "1987-05-11" @default.
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- W2017441489 title "Classical statistical mechanics of kink-bearing systems with parametrised double-well and asymmetric non-linear on-site potentials" @default.
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- W2017441489 doi "https://doi.org/10.1088/0305-4470/20/7/016" @default.
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