Phenomenological theory of isotropic-genesis nematic elastomers

Physical Review Letters

Volumn 108, Issue 25, 2012, Pages

  Lu, Bing Sui ^a   Ye, Fangfu ^b   Xing, Xiangjun ^c   Goldbart, Paul M ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^c SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

NEMATIC ELASTOMERS; NEMATIC ORDER; NEMATIC STRUCTURES; NETWORK FORMATION; NON-LOCAL INTERACTIONS; PHENOMENOLOGICAL MODELS; PHENOMENOLOGICAL THEORY; RANDOM FIELDS; SPATIAL CORRELATIONS;

PLASTICS;

ELASTOMERS;

EID: 84862548135     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.257803     Document Type: Article

References (16)

1. M. Warner, E.M. Terentjev, Liquid Crystal Elastomers (Oxford University Press, Oxford, 2003).
2. K. Urayama, Macromolecules MAMOBX 0024-9297 40, 2277 (2007). 10.1021/ma0623688 (Pubitemid 46613550)
3. K. Urayama, E. Kohmon, M. Kojima, and T. Takigawa, Macromolecules MAMOBX 0024-9297 42, 4084 (2009). 10.1021/ma9004692
4. S.V. Fridrikh and E.M. Terentjev, Phys. Rev. E PLEEE8 1063-651X 60, 1847 (1999). 10.1103/PhysRevE.60.1847
5. L. Petridis, and E.M. Terentjev, Phys. Rev. E PLEEE8 1539-3755 74, 051707 (2006). 10.1103/PhysRevE.74.051707
6. N. Uchida, Phys. Rev. E PLEEE8 1063-651X 62, 5119 (2000). 10.1103/PhysRevE.62.5119
7. J.V. Selinger and B.R. Ratna, Phys. Rev. E PLEEE8 1539-3755 70, 041707 (2004). 10.1103/PhysRevE.70.041707 (Pubitemid 40010451)
8. P.M. Goldbart, H.E. Castillo, and A. Zippelius, Adv. Phys. 45, 393 (1996). ADPHAH 0001-8732 10.1080/00018739600101527
9. B.-S. Lu, F. Ye, X. Xing, P.M. Goldbart (to be published). The microscopic model examined in this paper involves a system of dimers that are randomly and permanently connected by harmonic springs and interact with one another via Maier-Saupe and excluded-volume forces.
10. ′ is the generalized stiffness corresponding to this term. Including this gradient term in Eq. would result, e.g., in the five components of the nematic tensor Q not all having the same value of the oscillation wavelength ξ G / T, o at strong disorder. However, the inclusion would not change our results qualitatively, including our central result, viz., that spatially oscillatory decay arises for the glassy and thermal nematic correlators, provided the disorder is sufficiently strong.
11. F. Ye, B.-S. Lu, X. Xing, and P.M. Goldbart (unpublished). The paper considers a cavity-method-inspired model of an IGNE, and shows in detail how the short length scale liquidity allows the chain segments of the network to spatially reorganize under the influence of local nematic alignment and produce the nonlocal length scale-dependent interaction.
12. S.F. Edwards and P.W. Anderson, J. Phys. F JPFMAT 0305-4608 5, 965 (1975). 10.1088/0305-4608/5/5/017
13. Other correlators, including ones that also probe the preparation ensemble, can also be considered. A broad account of the issues that result from the presence of a multiplicity of ensembles and the correlators that diagnose them will be given in a forthcoming paper: X. Xing, B.-S. Lu, F. Ye, P.M. Goldbart (to be published).
14. P.G. de Gennes, J. Phys. (France) Lett. JPSLBO 0302-072X 10.1051/jphyslet:0197900400406900 40, L-69 (1979).
15. C. Wald, P.M. Goldbart, and A. Zippelius, J. Chem. Phys. 124, 214905 (2006); JCPSA6 0021-9606 10.1063/1.2200697 (Pubitemid 43877840)
16. C. Wald, A. Zippelius and P.M. Goldbart, Europhys. Lett. 70, 843 (2005). EULEEJ 0295-5075 10.1209/epl/i2004-10522-9 (Pubitemid 40855263)