Annular ballast resistor: Symmetry breaking, pinning, and coarsening in a globally constrained reaction-diffusion system

Baruch Meerson, Yoav Tsori

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The wire ballast resistor (BR) is one of the simplest physical systems that exhibit bistability and pattern formation. An annular BR is suggested as a simple two-dimensional extension of the wire BR. The nonuniformity of the electric current density in the annular BR leads to translational symmetry breaking in the temperature domain dynamics. As a result, the steady-state position of the domain wall is “pinned” and the system exhibits coarsening. The two-phase steady-state relaxation towards it and coarsening in the annular BR are investigated analytically and numerically.

Original languageEnglish
Pages (from-to)159-168
Number of pages10
JournalPhysical Review E
Volume57
Issue number1
DOIs
StatePublished - 1 Jan 1998
Externally publishedYes

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