Abstract
Elastic effects by cubic-tetragonal symmetry breaking on the ordering kinetics are investigated. We propose a coarse-grained model characterized by a Ginzburg-Landau free energy with non-conserved order parameters coupled to an elastic field. By numerical study we obtain an oval shaped domain and a square domain in two dimensions and a plate-like domain and a rod-like domain in three dimensions. And in the coarsening process, a striped pattern is obtained. These patterns are remarkably similar to morphologies observed in real cubic-tetragonal order-disorder alloys. Moreover, we study the dynamics during the coarsening process by analyzing the change of the total domain boundaries LDB(t). LDB(t) decreases as a power of time: t-α(α > 0). The exponent a becomes small with increasing the magnitude of the elastic effects.
| Original language | English |
|---|---|
| Pages (from-to) | 2628-2637 |
| Number of pages | 10 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 66 |
| Issue number | 9 |
| Publication status | Published - 1997 Sep |
| Externally published | Yes |
Fingerprint
Keywords
- Coarsening process
- Cubic-tetragonal symmetry breaking
- Elastic effect
- Morphologies
- Pattern formation
- Simulation
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Numerical Study of Elastic Effects by Cubic-Tetragonal Symmetry Breaking on the Ordering Kinetics. / Yamazaki, Yoshihiro.
In: Journal of the Physical Society of Japan, Vol. 66, No. 9, 09.1997, p. 2628-2637.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Numerical Study of Elastic Effects by Cubic-Tetragonal Symmetry Breaking on the Ordering Kinetics
AU - Yamazaki, Yoshihiro
PY - 1997/9
Y1 - 1997/9
N2 - Elastic effects by cubic-tetragonal symmetry breaking on the ordering kinetics are investigated. We propose a coarse-grained model characterized by a Ginzburg-Landau free energy with non-conserved order parameters coupled to an elastic field. By numerical study we obtain an oval shaped domain and a square domain in two dimensions and a plate-like domain and a rod-like domain in three dimensions. And in the coarsening process, a striped pattern is obtained. These patterns are remarkably similar to morphologies observed in real cubic-tetragonal order-disorder alloys. Moreover, we study the dynamics during the coarsening process by analyzing the change of the total domain boundaries LDB(t). LDB(t) decreases as a power of time: t-α(α > 0). The exponent a becomes small with increasing the magnitude of the elastic effects.
AB - Elastic effects by cubic-tetragonal symmetry breaking on the ordering kinetics are investigated. We propose a coarse-grained model characterized by a Ginzburg-Landau free energy with non-conserved order parameters coupled to an elastic field. By numerical study we obtain an oval shaped domain and a square domain in two dimensions and a plate-like domain and a rod-like domain in three dimensions. And in the coarsening process, a striped pattern is obtained. These patterns are remarkably similar to morphologies observed in real cubic-tetragonal order-disorder alloys. Moreover, we study the dynamics during the coarsening process by analyzing the change of the total domain boundaries LDB(t). LDB(t) decreases as a power of time: t-α(α > 0). The exponent a becomes small with increasing the magnitude of the elastic effects.
KW - Coarsening process
KW - Cubic-tetragonal symmetry breaking
KW - Elastic effect
KW - Morphologies
KW - Pattern formation
KW - Simulation
UR - http://www.scopus.com/inward/record.url?scp=0031476862&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031476862&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0031476862
VL - 66
SP - 2628
EP - 2637
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 9
ER -