50 research outputs found
Interplay of disorder and nonlinearity in Klein-Gordon models: Immobile kinks
We consider Klein-Gordon models with a -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.Comment: 7 pages, 4 figure
Comparison theorems for a generalized modulus of continuity
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43943/1/11512_2006_Article_BF02383639.pd