Casimir entropy and nonlocal response functions to the off-shell quantum fluctuations

Abstract

The nonlocal response functions to quantum fluctuations are used to find asymptotic expressions for the Casimir free energy and entropy at arbitrarily low temperature in the configuration of two parallel metallic plates. It is shown that by introducing an alternative nonlocal response to the off-the-mass-shell fluctuations the Lifshitz theory is brought into agreement with the requirements of thermodynamics. According to our results, the Casimir entropy calculated using the nonlocal response functions, which take into account dissipation of conduction electrons, remains positive and monotonously goes to zero with vanishing temperature, i.e., satisfies the Nernst heat theorem. This is true for both plates with perfect crystal lattices and for lattices with defects of structure. The obtained results are discussed in the context of the Casimir puzzle.

11 pages; several typos are corrected

References in corpus (18)

• Casimir forces between arbitrary compact objects
• Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect
• Casimir forces in a T operator approach
• Optical properties of gold films and the Casimir force
• Influence of random roughness on the Casimir force at small separations
• Demonstration of the Casimir force between ferromagnetic surfaces of a Ni-coated sphere and a Ni-coated plate
• Experiment and theory in the Casimir effect
• Measurement of the Casimir Force between 0.2 and 8 mum: Experimental Procedures and Comparison with Theory
• Plasma vs Drude modelling of the Casimir force: beyond the proximity force approximation
• Casimir Puzzle and Casimir Conundrum: Discovery and Search for Resolution
• Kelvin probe force microscopy of metallic surfaces used in Casimir force measurements
• Precision measurements of the gradient of the Casimir force between ultra clean metallic surfaces at larger separations
• On the Casimir entropy for a ball in front of a plane
• Low-temperature behavior of the Casimir free energy and entropy of metallic films
• An alternative response to the off-shell quantum fluctuations: A step forward in resolution of the Casimir puzzle
• Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
• Casimir and Casimir-Polder forces with dissipation from first principles
• Casimir experiments showing saturation effects

Cited by in corpus (14)

• Experimental and theoretical investigation of the thermal effect in the Casimir interaction from graphene
• Theory-experiment comparison for the Casimir force between metallic test bodies: A spatially nonlocal dielectric response
• Casimir effect for magnetic media: Spatially nonlocal response to the off-shell quantum fluctuation
• Dark Matter Axions, Non-Newtonian Gravity and Constraints on them from Recent Measurement of the Casimir Force in the Micrometer Separation Range
• Current status of the problem of thermal Casimir force
• Probing the response of metals to low-frequency s-polarized evanescent fields
• Quantum field theoretical framework for the electromagnetic response of graphene and dispersion relations with implications to the Casimir effect
• Bulk contributions to the Casimir interaction of Dirac materials
• Experimentum crucis for electromagnetic response of metals to evanescent waves and the Casimir puzzle
• The Casimir effect in graphene systems: Experiment and theory
• High-accuracy Casimir-Polder force calculations using the Discontinuous Galerkin Time-Domain method
• Testing Gravity and Predictions Beyond the Standard Model at Short Distances: The Casimir Effect
• Quantum and Critical Casimir Effects: Bridging Fluctuation Physics and Nanotechnology
• Recent solution to the Casimir puzzle awaits its experimental confirmation