Fluctuation-induced Interactions in Micro- and Nano-systems: Survey of Some Basic Results

Abstract

On the examples of the quantum-electrodynamical Casimir force, as well as critical Casimir and Helmholtz forces, we present a review of some results available for the class of fluctuation induced forces. In addition, we also concisely present examples of other such fluctuation-induced forces. On the instance of the Ising model we discuss the connection between the Casimir and Helmholtz forces. We discuss the importance of the presented results for the nanotechnology, and especially for devising micro- or nano-systems, and for their assembly. Some important problems for the nanotechnology, following from the currently available experimental findings, are spelled out and possible strategies for their overcoming are outlined.

21 pages, 6 figures. arXiv admin note: text overlap with arXiv:2203.15050

References in corpus (26)

• Control of the Casimir force by the modification of dielectric properties with light
• Casimir-Lifshitz force out of thermal equilibrium
• Casimir energy between a plane and a sphere in electromagnetic vacuum
• Limits on Nonstandard Forces in the Submicrometer Range
• Experiment and theory in the Casimir effect
• Casimir-Lifshitz force out of thermal equilibrium and asymptotic non-additivity
• Measurement of the Casimir Force between 0.2 and 8 mum: Experimental Procedures and Comparison with Theory
• Experimental approaches to the difference in the Casimir force through the varying optical properties of boundary surface
• Fluctuation-Induced Casimir Forces in Granular Fluids
• Casimir Puzzle and Casimir Conundrum: Discovery and Search for Resolution
• Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
• Control of the Casimir Force Using Semiconductor Test Bodies
• Effective forces between colloids at interfaces induced by capillary wave-like fluctuations
• Trapping colloids near chemical stripes via critical Casimir forces
• Force sensor for chameleon and Casimir force experiments with parallel-plate configuration
• The Casimir effect in the nanoworld
• Fluctuations of the Casimir-like force between two membrane inclusions
• Design of a Casimir-driven parametric amplifier
• Transient Casimir forces from quenches in thermal and active matter
• Revealing polymerization kinetics with colloidal dipatch particles
• Casimir attractive-repulsive transition in MEMS
• Casimir and van der Waals forces: Advances and problems
• Exact expressions for the partition function of the one-dimensional Ising model in the fixed-$M$ ensemble
• Casimir versus Helmholtz forces: Exact results
• Critical and near critical phase behaviour and interplay between the thermodynamic Casimir and van der Waals forces in confined non-polar fluid medium with competing surface and substrate potentials
• Casimir and Helmholtz forces in one-dimensional Ising model with Dirichlet (free) boundary conditions

Cited by in corpus (4)

• Critical surface adsorption of confined binary liquids with locally conserved mass and composition
• Helicity modulus and chiral symmetry breaking for boundary conditions with finite twist
• Finite-size Nagle-Kardar model: Casimir force
• Quantum and Critical Casimir Effects: Bridging Fluctuation Physics and Nanotechnology