The properties of translationally invariant kinks in two discrete ϕ4 models are compared with those of the kinks in a classical discrete model. The translationally invariant kink solutions can be found randomly with respect to the lattice sites, i.e., their Peierls–Nabarro potential is exactly equal to zero. It is shown that these solutions have a Goldstone mode, that is, they can move along the lattice at vanishingly small velocities. Thus, the translationally invariant kink is not trapped by the lattice and can be accelerated by an arbitrary small external field and, having an increased mobility, can transfer a range of physical quantities: matter, energy, momentum, etc.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 20–25, March, 2010.
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Baimova, J.A., Bebikhov, Y.V., Dmitriev, S.V. et al. Translationally invariant kink solutions of discrete ϕ4 models. Russ Phys J 53, 231–238 (2010). https://doi.org/10.1007/s11182-010-9409-y
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DOI: https://doi.org/10.1007/s11182-010-9409-y