Abstract

The low-temperature thermodynamic properties of a deformable sine-Gordon model are studied by means of the transfer-integral method. Using asymptotic methods from the theory of differential equations depending on a large parameter, the lowest-order corrections due to the interactions between solitons as well as the first-order lattice corrections to the free energy are evaluated. They are strongly dependent on the deformable parameter $r.$ It appears that the entropy of the system is an increasing function of $r.$ A physical interpretation of the result shows that, in the system, disorder increases as $r$ varies from 0 to 1 and decreases when $r$ varies from 0 to -1.

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