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Translationally invariant kink solutions of discrete Φ models

Russian Physics Journal, ISSN: 1064-8887, Vol: 53, Issue: 3, Page: 231-238
2010
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Article Description

The properties of translationally invariant kinks in two discrete Φ 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. © 2010 Springer Science+Business Media, Inc.

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