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Order Tensor Theories

  • André M. Sonnet
  • Epifanio G. Virga
Chapter

Abstract

The history of order tensor theories is a long and winding one. Since DE GENNES introduced what he called the tensor order parameter in [57, 58] to phrase a LANDAU- GINZBURG-type theory for the nematic order, many steps have been taken toward a general continuum theory of nematics with tensorial order. Using standard methods of nonequilibrium thermodynamics, HESS [142, 143] and later OLMSTED and GOLDBART [254, 255] obtained constitutive theories for homogeneous alignments, later generalized by HESS and PARDOWITZ to include also spatial variations [145]. All these attempts were impaired by not yielding the full anisotropy of viscosities predicted by the ERICKSEN-LESLIE director theory. An extension using a codeformational model was proposed in [144], and while it recovered the complete anisotropy of viscosities, it failed to be otherwise fully consistent with the phenomenological ERICKSEN-LESLIE theory [267].

Keywords

Isotropic Phase Dissipation Function Order Tensor Tricritical Point Elastic Energy Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • André M. Sonnet
    • 1
  • Epifanio G. Virga
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of StrathclydeGlasgowUK
  2. 2.Dipartimento di MatematicaUniversità di PaviaPaviaItaly

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