https://doi.org/10.1140/epje/e2005-00025-x
Global symmetry breaking in the nonconserved order parameter system during phase ordering
1
Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224, Warsaw, Poland
2
Cardinal S. Wyszyński University WMP-SNŚ, Dewajtis 5, 01-815, Warsaw, Poland
* e-mail: fialkows@ichf.edu.pl
Received:
19
March
2004
Accepted:
9
December
2004
Published online:
22
February
2005
We study global symmetry breaking in the 2D system of scalar nonconserved order parameter following a quench to zero temperature. We show that the instant of time when the symmetry is broken and the final morphology is chosen corresponds to the saturation of the order parameter inside the domains. There are three possible final morphologies: the positive and negative order parameter final morphology, and the state of the coexisting positive and negative order parameter subsystems with a flat interface between them. We find also that each type of the final morphology constitutes about 1/3 of all cases, what agrees with the results obtained recently by Spirin et al. [Phys. Rev. E 65, 016119 (2001)]. Our results are pertinent for the two dimensional systems, but we suspect that there is also a way to apply similar arguments for the three dimensional ones.
PACS: 64.60.Cn Order-disorder transformations; statistical mechanics of model systems – / 68.55.Jk Structure and morphology; thickness; crystalline orientation and texture – / 75.40.Gb Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.) –
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2005