Phase Diagrams for Deformable Toroidal and Spherical Surfaces with Intrinsic Orientational Order

Details Phase Diagrams for Deformable Toroidal and Spherical Surfaces with Intrinsic Orientational Order Phase Diagrams for Deformable Toroidal and Spherical Surfaces with Intrinsic Orientational Order

1994-10-03

arxiv.org/abs/cond-mat/9410010v1

Physics

Condensed Matter

40, revtex (with epsf), M/C.TH.94/20

Scientific paper

10.1051/jp2:1995147

A theoretical study of toroidal membranes with various degrees of intrinsic orientational order is presented at mean-field level. The study uses a simple Ginzburg-Landau style free energy functional, which gives rise to a rich variety of physics and reveals some unusual ordered states. The system is found to exhibit many different phases with continuous and first order phase transitions, and phenomena including spontaneous symmetry breaking, ground states with nodes and the formation of vortex-antivortex quartets. Transitions between toroidal phases with different configurations of the order parameter and different aspect ratios are plotted as functions of the thermodynamic parameters. Regions of the phase diagrams in which spherical vesicles form are also shown.

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