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Simões M, Pazeti M, Domiciano SM. Maier-Saupe and Onsager approaches as limits of the nematic-isotropic phase transition. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;65(1):011707doi: 10.1103/PhysRevE.65.011707.
Simões, M., Pazeti, M., & Domiciano, S. M. (2002). Maier-Saupe and Onsager approaches as limits of the nematic-isotropic phase transition. Physical review. E, Statistical, nonlinear, and soft matter physics, 65(1), 011707. https://doi.org/10.1103/PhysRevE.65.011707
Simões, M, et al. "Maier-Saupe and Onsager approaches as limits of the nematic-isotropic phase transition." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 65,1 (2002): 011707. doi: https://doi.org/10.1103/PhysRevE.65.011707
Simões M, Pazeti M, Domiciano SM. Maier-Saupe and Onsager approaches as limits of the nematic-isotropic phase transition. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Jan;65(1):011707. doi: 10.1103/PhysRevE.65.011707. Epub 2001 Dec 19. PMID: 11800707.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Jan;65(1):011707. doi: 10.1103/PhysRevE.65.011707. Epub 2001 Dec 19.

Maier-Saupe and Onsager approaches as limits of the nematic-isotropic phase transition.

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

M Simões, M Pazeti, S M Domiciano

Affiliations

  1. Departamento de Fisica, Universidade Estadual de Londrina, Campus Universitario, 86051-970, Londrina (PR), Brazil. [email protected]

PMID: 11800707 DOI: 10.1103/PhysRevE.65.011707

Abstract

Through a virial expansion, the long and small range properties of the interaction between ellipsoidal nematic molecules are put together in a unique approach that combines the essentials of some classical models that describe the nematic-isotropic phase transition. The Lennard-Jones potential that mediates the interaction between the centers of the mass of molecules, the long range Maier-Saupe interaction that favors their alignment and the molecular hard core that hinders their close approximation, as in the Onsager model, are combined in a unique approach that exhibits two phases transitions; the gaseous-liquid transition and the nematic-isotropic phase transition. As a conclusion, the Onsager and Maier-Saupe approaches were considered limits of the actual physical situation.

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