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

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 th...

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Bibliographic Details
Published in:arXiv.org 1998-05
Main Authors: Y -K Yu, Taylor, P L, Terentjev, E M
Format: Article
Language:English
Subjects:
Computer simulation
Correlation
Decay
Elasticity
Elastomers
Monte Carlo simulation
Two dimensional models
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9805397