2018/03/23 by Daniel Dantchev, Dantchev, Daniel, Joseph Rudnick +5
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.1803.08998
openalex publication_date 2018/03/23 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
We present an analytical solution of the Ginzburg's Ψ-theory for the behavior of the Casimir force in a film of 4He in equilibrium with its vapor near the superfluid transition point, and we revisit the corresponding experiments in light of our findings. We find reasonably good agreement between the Ψ-theory predictions and the experimental data. Our calculated force is attractive, and the largest absolute value of the scaling function is 1.848, while experiment yields 1.30. The position of the extremum is predicted to be at x=(L/ξ0)(T/Tλ-1)1/ν=π, while experiment is consistent with x=3.8. Here L is the thickness of the film, Tλ is the bulk critical temperature and ξ0 is the correlation length amplitude of the system for T>Tλ.