Casimir Forces at Tricritical Points: Theory and Possible Experiments

Details Casimir Forces at Tricritical Points: Theory and Possible Experiments Casimir Forces at Tricritical Points: Theory and Possible Experiments

1997-02-28

arxiv.org/abs/cond-mat/9703004v1

Physics

Condensed Matter

Soft Condensed Matter

18 pages, Latex, 3 postscript figures, uses Elsevier style files

Scientific paper

Using field-theoretical methods and exploiting conformal invariance, we study Casimir forces at tricritical points exerted by long-range fluctuations of the order-parameter field. Special attention is paid to the situation where the symmetry is broken by the boundary conditions (extraordinary transition). Besides the parallel-plate configuration, we also discuss the geometries of two separate spheres and a single sphere near a planar wall, which may serve as a model for colloidal particles immersed in a fluid. In the concrete case of ternary mixtures a quantitative comparison with critical Casimir and van der Waals forces shows that, especially with symmetry-breaking boundaries, the tricritical Casimir force is considerably stronger than the critical one and dominates also the competing van der Waals force.

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