Abstract
The thermal fluctuations in the tilt angles of a disk levitated above a liquid–liquid interface by a repulsive Casimir force are compared with those of a disk suspended by surface tension at the interface. By using a proximity force approximation, the probability density function of the tilt angle of a copper disk immersed in cyclohexane in contact with water is calculated. We show that the tilt angle of the levitated disk of micron-order radius exhibits comparatively large fluctuations. Observance of the difference in the amplitude of the fluctuations could be helpful in determining the position of the disk relative to the liquid–liquid interface.
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