Fluctuations of the Casimir-like force between two membrane inclusions

Abstract

Although Casimir forces are inseparable from their fluctuations, little is known about these fluctuations in soft matter systems. We use the membrane stress tensor to study the fluctuations of the membrane-mediated Casimir-like force. This method enables us to recover the Casimir force between two inclusions and to calculate its variance. We show that the Casimir force is dominated by its fluctuations. Furthermore, when the distance d between the inclusions is decreased from infinity, the variance of the Casimir force decreases as -1/d^2. This distance dependence shares a common physical origin with the Casimir force itself.

5 pages, 3 figures

References in corpus (4)

• The Casimir effect: from quantum to critical fluctuations
• Critical Casimir Effect in superfluid wetting films
• Fluctuations of the Casimir-like force between two membrane inclusions
• Anisotropies in thermal Casimir interactions: ellipsoidal colloids trapped at a fluid interface

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• Fluctuation-induced Interactions in Micro- and Nano-systems: Survey of Some Basic Results
• Laser-induced heating for the experimental study of critical Casimir forces with optical trapping
• On The Critical Casimir Interaction Between Anisotropic Inclusions On A Membrane
• Membrane-mediated interactions
• Fluctuations of the critical Casimir force
• Graphene membranes and the Dirac-Born-Infeld action