The `Friction' of Vacuum, and other Fluctuation-Induced Forces

Abstract

The static Casimir effect describes an attractive force between two conducting plates, due to quantum fluctuations of the electromagnetic (EM) field in the intervening space. {\it Thermal fluctuations} of correlated fluids (such as critical mixtures, super-fluids, liquid crystals, or electrolytes) are also modified by the boundaries, resulting in finite-size corrections at criticality, and additional forces that effect wetting and layering phenomena. Modified fluctuations of the EM field can also account for the `van der Waals' interaction between conducting spheres, and have analogs in the fluctuation--induced interactions between inclusions on a membrane. We employ a path integral formalism to study these phenomena for boundaries of arbitrary shape. This allows us to examine the many unexpected phenomena of the dynamic Casimir effect due to moving boundaries. With the inclusion of quantum fluctuations, the EM vacuum behaves essentially as a complex fluid, and modifies the motion of objects through it. In particular, from the mechanical response function of the EM vacuum, we extract a plethora of interesting results, the most notable being: (i) The effective mass of a plate depends on its shape, and becomes anisotropic. (ii) There is dissipation and damping of the motion, again dependent upon shape and direction of motion, due to emission of photons. (iii) There is a continuous spectrum of resonant cavity modes that can be excited by the motion of the (neutral) boundaries.

RevTex, 2 ps figures included. The presentation is completely revised, and new sections are added

References in corpus (8)

• Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
• Path Integral Approach to the Dynamic Casimir Effect with Fluctuating Boundaries
• Gauge Theories with Cayley-Klein $SO(2;j)$ and $SO(3;j)$ Gauge Groups
• Collapse of Stiff Polyelectrolytes due to Counterion Fluctuations
• Quantum radiation in a plane cavity with moving mirrors
• Causality, stability and passivity for a mirror in vacuum
• Charge-Fluctuation-Induced Non-analytic Bending Rigidity
• Motion-Induced Radiation from a Dynamically Deforming Mirror

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