Dimensional crossover of the fundamental-measure functional for parallel hard cubes

Details Dimensional crossover of the fundamental-measure functional for parallel hard cubes Dimensional crossover of the fundamental-measure functional for parallel hard cubes

1997-01-17

arxiv.org/abs/cond-mat/9701124v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, no figures, uses revtex style files and multicol.sty, for a PostScript version see http://dulcinea.uc3m.es/users/cues

Scientific paper

10.1103/PhysRevLett.78.3681

We present a regularization of the recently proposed fundamental-measure functional for a mixture of parallel hard cubes. The regularized functional is shown to have right dimensional crossovers to any smaller dimension, thus allowing to use it to study highly inhomogeneous phases (such as the solid phase). Furthermore, it is shown how the functional of the slightly more general model of parallel hard parallelepipeds can be obtained using the zero-dimensional functional as a generating functional. The multicomponent version of the latter system is also given, and it is suggested how to reformulate it as a restricted-orientation model for liquid crystals. Finally, the method is further extended to build a functional for a mixture of parallel hard cylinders.

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