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  Shear-induced instabilities in layered liquids

Auernhammer, G. K., Brand, H. R., & Pleiner, H. (2002). Shear-induced instabilities in layered liquids. Physical Review E, 66(6): 061707. doi:10.1103/PhysRevE.66.061707.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-648C-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-7528-E
Genre: Journal Article

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Auernhammer, G. K.1, Author              
Brand, H. R.1, Author              
Pleiner, Harald2, Author              
Affiliations:
1Univ Bayreuth, D-95440 Bayreuth, Germany, ou_persistent22              
2MPI for Polymer Research, Max Planck Society, ou_1309545              

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 Abstract: Motivated by the experimentally observed shear-induced destabilization and reorientation of smectic-A-like systems, we consider an extended formulation of smectic-A hydrodynamics. We include both, the smectic layering (via the layer displacement u and the layer normal p) and the director n of the underlying nematic order in our macroscopic hydrodynamic description and allow both directions to differ in nonequilibrium situations. In an homeotropically aligned sample the nematic director does couple to an applied simple shear, whereas the smectic layering stays unchanged. This difference leads to a finite (but usually small) angle between n and p, which we find to be equivalent to an effective dilatation of the layers. This effective dilatation leads, above a certain threshold, to an undulation instability of the layers. We generalize our earlier approach [G. K. Auernhammer, H. R. Brand, and H. Pleiner, Rheol. Acta 39, 215 (2000)] and include the cross couplings with the velocity field and the order parameters for orientational and positional order and show how the order parameters interact with the undulation instability. We explore the influence of various material parameters on the instability. Comparing our results to recent experiments and molecular dynamic simulations, we find a good qualitative agreement.

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Language(s): eng - English
 Dates: 2002-12
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: No review
 Identifiers: eDoc: 28325
ISI: 000180427000049
Other: P-02-152
DOI: 10.1103/PhysRevE.66.061707
 Degree: -

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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 66 (6) Sequence Number: 061707 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012