Complex patterns and tip effect evolution

Details Complex patterns and tip effect evolution Complex patterns and tip effect evolution

2005-05-10

arxiv.org/abs/physics/0505075v1

Physics

General Physics

11 pages, 4 figures, submitted to PRL on july 15 2004, rejected for publication in PRL

Scientific paper

We studied the formation of complex patterns using a variational principle
and a standard energy functional. These patterns evolve by letting the system
to search for the optimal configuration of a high conductivity channel, that in
one dimension is equivalent to tip effect evolution (evolution towards regions
of high electric field).

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