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Non-Affine Deformations at a Concentration Transition in Cross-Linked Elastomers in the Light of the 3D XY Spin Glass Model

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Abstract:

X-ray and mechanical spectroscopy on liquid-crystalline elastomers give evidence of rubber elasticity, which depends upon the crosslink concentration. After applied macroscopic deformations, mesoscale non-affine deformations in these systems might lead to long relaxation times. Basing on the example of the crosslink-dependent smectic A − nematic (SmA−N) transition in polysiloxanes, we propose to use the three-dimensional Villain spin glass model and reduce it to the lattice version of the three-dimensional XY spin-glass model. By using the Monte Carlo loop algorithm in this model, we found a percolation threshold depending on the crosslink concentration.

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Periodical:

Solid State Phenomena (Volume 184)

Pages:

387-392

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.184.387

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Online since:

January 2012

Authors:

L.V. Elnikova

Keywords:

Crosslinked Liquid-Crystalline Elastomers, Monte Carlo, Non-Affine Deformations, Spin Glass Model, XY Model

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