Fluctuation-induced forces between inclusions in a fluid membrane under tension

Abstract

We discuss the fluctuation-induced force, a finite-temperature analog of the Casimir force, between two inclusions embedded in a fluid membrane under tension. We suggest a method to calculate this Casimir interaction in the most general case, where membrane fluctuations are governed by the combined action of surface tension, bending modulus, and the Gaussian rigidity. We find that the surface tension strongly modifies the power law in the separation dependence of the Casimir interaction. This results in a strong suppression of the Casimir force at separations beyond a characteristic length, which could affect protein aggregation dynamics in cell membranes.

4 pages, 1 figure

References in corpus (4)

• Scattering Theory Approach to Electrodynamic Casimir Forces
• The Importance of Boundary Conditions for Fluctuation Induced Forces between Colloids at Interfaces
• Effective field theory approach to Casimir interactions on soft matter surfaces
• Anisotropies in thermal Casimir interactions: ellipsoidal colloids trapped at a fluid interface

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