Transition to chaos in directional solidification
Abstract
Interface dynamics are analyzed theoretically in the quasilocal regime of directional growth explored by experiments on liquid crystals. We discover ``vacillating-breathing'' (VB) modes. Upon variation of the growth speed the interface motion enters a chaotic regime via a quasiperiodicity scenario. Chaos occurs as a complex interplay between VB and parity-broken traveling modes. We suggest that the quasiperiodicity scenario should be generic for systems where these two modes coexist.
- Publication:
-
Physical Review Letters
- Pub Date:
- September 1991
- DOI:
- 10.1103/PhysRevLett.67.1551
- Bibcode:
- 1991PhRvL..67.1551K
- Keywords:
-
- Chaos;
- Crystal Growth;
- Directional Solidification (Crystals);
- Liquid Crystals;
- Order-Disorder Transformations;
- Crystal Structure;
- Liquid-Solid Interfaces;
- Parity;
- Period Doubling;
- Strange Attractors;
- Solid-State Physics;
- 61.50.Cj;
- 05.70.Fh;
- 81.30.Fb;
- 68.70.+w;
- Phase transitions: general studies;
- Solidification;
- Whiskers and dendrites