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Ilg P, Hütter M, Kröger M. Ideal contribution to the macroscopic quasiequilibrium entropy of anisotropic fluids. Phys Rev E Stat Nonlin Soft Matter Phys. 2011;83(6):061713doi: 10.1103/PhysRevE.83.061713.
Ilg, P., Hütter, M., & Kröger, M. (2011). Ideal contribution to the macroscopic quasiequilibrium entropy of anisotropic fluids. Physical review. E, Statistical, nonlinear, and soft matter physics, 83(6), 061713. https://doi.org/10.1103/PhysRevE.83.061713
Ilg, Patrick, et al. "Ideal contribution to the macroscopic quasiequilibrium entropy of anisotropic fluids." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 83,6 (2011): 061713. doi: https://doi.org/10.1103/PhysRevE.83.061713
Ilg P, Hütter M, Kröger M. Ideal contribution to the macroscopic quasiequilibrium entropy of anisotropic fluids. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6):061713. doi: 10.1103/PhysRevE.83.061713. Epub 2011 Jun 29. PMID: 21797393.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6):061713. doi: 10.1103/PhysRevE.83.061713. Epub 2011 Jun 29.

Ideal contribution to the macroscopic quasiequilibrium entropy of anisotropic fluids.

Physical review. E, Statistical, nonlinear, and soft matter physics

Patrick Ilg, Markus Hütter, Martin Kröger

Affiliations

  1. ETH Zürich, Department of Materials, Polymer Physics, Zürich, Switzerland.

PMID: 21797393 DOI: 10.1103/PhysRevE.83.061713

Abstract

The Landau-de Gennes free energy plays a central role in the macroscopic theory of anisotropic fluids. Here, the ideal, entropic contribution to this free energy-that is always present in these systems, irrespectively of the detailed form of interactions or applied fields-is derived within the quasiequilibrium ensemble and successfully tested. An explicit and compact form of the macroscopic, ideal entropy is derived. This entropy is nonpolynomial in the order parameter, diverging logarithmically near the fully oriented state and therefore restricting the order parameter to physical admissible values. As an application, it is shown that the isotropic-nematic transition within the Maier-Saupe model is described in a simple and very accurate manner.

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