Interplay of disorder and nonlinearity in Klein-Gordon models: Immobile kinks

Details Interplay of disorder and nonlinearity in Klein-Gordon models: Immobile kinks Interplay of disorder and nonlinearity in Klein-Gordon models: Immobile kinks

1999-06-02

arxiv.org/abs/cond-mat/9906029v1

Phys. Rev. B 59, 4074-4079 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 4 figures

Scientific paper

10.1103/PhysRevB.59.4074

We consider Klein-Gordon models with a $\delta$-correlated spatial disorder. We show that the properties of immobile kinks exhibit strong dependence on the assumptions as to their statistical distribution over the minima of the effective random potential. Namely, there exists a crossover from monotonically increasing (when a kink occupies the deepest potential well) to the non-monotonic (at equiprobable distribution of kinks over the potential minima) dependence of the average kink width as a function of the disorder intensity. We show also that the same crossover may take place with changing size of the system.

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