| Issue |
Europhys. Lett.
Volume 38, Number 5, May II 1997
|
|
|---|---|---|
| Page(s) | 341 - 346 | |
| Section | Classical areas of phenomenology | |
| DOI | https://doi.org/10.1209/epl/i1997-00249-7 | |
| Published online | 01 September 2002 | |
Stable localized squares in pattern-forming nonequilibrium systems
1
Theoretische Physik III,
Universität Bayreuth - D-95440 Bayreuth, Germany
2
Department of Applied Physics, Faculty of Engineering, Kyushu
University, Ropponmatsu,
Fukuoka, 810, Japan
Received:
6
January
1997
Accepted:
8
April
1997
We show that stable localized solutions of square symmetry and a number of different sizes are possible in a model equation for pattern-forming nonequilibrium systems. We point out that these localized solutions, which are surrounded by a pattern-free state, exist for a range of values for the external stress parameter subcritically. We discuss briefly for which experimentally accessible systems such states could possibly be observable.
PACS: 47.20.Ky – Nonlinearity (including bifurcation theory) / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes / 03.40.Gc – Fluid dynamics: general mathematical aspects
© EDP Sciences, 1997
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