Exponential Decay of Correlations in a Model for Strongly Disordered 2D Nematic Elastomers
Abstract
Lattice Monte Carlo simulations were performed to study the equilibrium ordering in a two-dimensional nematic system with quenched random disorder. When the disordering field, which competes against the aligning effect of the Frank elasticity, is sufficiently strong, the long-range correlation of the director orientation is found to decay as a simple exponential, e-r/ξ. The correlation length ξ itself also decays exponentially with increasing strength of the disordering field. This result represents a new type of behavior, distinct from the Gaussian and power-law decays predicted by some theories.
- Publication:
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Physical Review Letters
- Pub Date:
- July 1998
- DOI:
- 10.1103/PhysRevLett.81.128
- arXiv:
- arXiv:cond-mat/9805397
- Bibcode:
- 1998PhRvL..81..128Y
- Keywords:
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- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Soft Condensed Matter
- E-Print:
- Latex file (4 pages) + 2 EPS figures