Critical adsorption and Casimir torque in wedges and at ridges

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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16 pages, 15 figures, submitted to PRE

Scientific paper

10.1103/PhysRevE.70.046114

Geometrical structures of confining surfaces profoundly influence the adsorption of fluids upon approaching a critical point T_c in their bulk phase diagram, i.e., for t=(T-T_c)/T_c -> +/-0. Guided by general scaling considerations, we calculate, within mean-field theory, the temperature dependence of the order parameter profile in a wedge with opening angle gammapi) for T>T_c and T +/-0)~Gamma_\pm(gamma)|t|^{beta-2nu} we compute the universal amplitudes Gamma_\pm(gamma), which diverge as Gamma_\pm(gamma ->0)~1/gamma for small opening angles, vary linearly close to gamma=pi for gamma 2pi. There is evidence that, within mean-field theory, the ratio Gamma_+(gamma)/Gamma_-(gamma) is independent of gamma. We also discuss the critical Casimir torque acting on the sides of the wedge as a function of the opening angle and temperature.

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