Exponential Decay of Correlations in a Model for Strongly Disordered 2D Nematic Elastomers

Details Exponential Decay of Correlations in a Model for Strongly Disordered 2D Nematic Elastomers Exponential Decay of Correlations in a Model for Strongly Disordered 2D Nematic Elastomers

1998-05-29

arxiv.org/abs/cond-mat/9805397v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Latex file (4 pages) + 2 EPS figures

Scientific paper

10.1103/PhysRevLett.81.128

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, Exp[-r/x]. The correlation length {x} 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.

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