| Autor: |
Nascimento, E. S., Henriques, E. F., Vieira, A. P., Salinas, S. R. |
| Rok vydání: |
2015 |
| Předmět: |
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| Zdroj: |
Phys. Rev. E 92, 062503 (2015) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevE.92.062503 |
| Popis: |
We introduce shape fluctuations in a liquid-crystalline system by considering an elementary Maier--Saupe lattice model for a mixture of uniaxial and biaxial molecules. Shape variables are treated in the annealed (thermalized) limit. We analyze the thermodynamic properties of this system in terms of temperature $T$, concentration $c$ of intrinsically biaxial molecules, and a parameter $\Delta$ associated with the degree of biaxiality of the molecules. At the mean-field level, we use standard techniques of statistical mechanics to draw global phase diagrams, which are shown to display a rich structure, including uniaxial and biaxial nematic phases, a reentrant ordered region, and many distinct multicritical points. Also, we use the formalism to write an expansion of the free energy in order to make contact with the Landau--de Gennes theory of nematic phase transitions. |
| Databáze: |
arXiv |
| Externí odkaz: |
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