An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model

Abstract

We discuss the twist map, with a special interest in its use for the finite Frenkel–Kontorova model. We explain the meaning of the tensile force in some proposed models. We demonstrate that the application of the twist map for the finite FK model is not correct, because the procedure ignores the necessary boundary conditions.

Quantum and Optoelectronic Devices, Circuits and Systems

“…Quapp et al [10] studied the twist map, with an interest in its use for the finite Frenkel-Kontorova model, explaining the meaning of tensile forces in some proposed models.…”