Density of defects and spatial entropy in extended systems. (English) Zbl 0888.58015
Summary: We consider a distribution of defects in the spatial structures of nonlinear fields. For some classes of lattice systems it is shown that a critical density of defects is inversely proportional to a logarithm of a nonlinearity (energy pumping). The relation between the density of defects and the topological entropy of spatial structures of the field is also obtained.
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