Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-06-09
Phys. Rev. Lett. 101, 197801 (2008)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.101.197801
We study electric field driven deracemization in an achiral liquid crystal through the formation and coarsening of chiral domains. It is proposed that deracemization in this system is a curvature-driven process. We test this prediction using the exact result for the distribution of hull-enclosed areas in two-dimensional coarsening in non-conserved scalar order parameter dynamics recently obtained [J.J. Arenzon et al., Phys. Rev. Lett. 98, 061116 (2007)]. The experimental data are in very good agreement with the theory. We thus demonstrate that deracemization in such bent-core liquid crystals belongs to the Allen-Cahn universality class, and that the exact formula, which gives us the statistics of domain sizes during coarsening, can also be used as a strict test for this dynamic universality class.
Alonso Ibon
Arenzon Jeferson J.
Bray Alan J.
Cugliandolo Leticia F.
Dierking Ingo
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