Critical points of the Onsager functional on a sphere
| Autor: | Valeriy Slastikov, Ibrahim Fatkullin |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Phase transition
Smoluchowski coagulation equation Explicit formulae Antisymmetric relation Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Geometry Condensed Matter::Soft Condensed Matter symbols.namesake Dipole Classical mechanics symbols SPHERES Axial symmetry Mathematical Physics Bifurcation Mathematics |
| Zdroj: | Nonlinearity. 18:2565-2580 |
| ISSN: | 1361-6544 0951-7715 |
| Popis: | We study Onsager's model of isotropic–nematic phase transitions with orientation parameter on a sphere. We consider two interaction potentials: the antisymmetric (with respect to orientation inversion) dipolar potential and symmetric Maier–Saupe potential. We prove the axial symmetry and derive explicit formulae for all critical points, thus obtaining their complete classification. Finally, we investigate their stability and construct the corresponding bifurcation diagrams. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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