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 language | English |
|---|---|
| Pages (from-to) | 159-168 |
| Number of pages | 10 |
| Journal | Physical Review E |
| Volume | 57 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1998 |