Abstract
Experiments for observing pressure-induced Josephson oscillations in superfluid 4He renewed the interest for analogous experiments in superfluid 3He. The weak coupling of two superfluids is obtained by a small channel with dimensions in the order of the coherence length. The order-parameter matrix in channels with a rectangular cross section is calculated with and without rigid boundary conditions. From the order-parameter functions, the supercurrent J(ϕ) through the orifice, and the Ginzburg–Landau free energy, F(ϕ) is calculated for different cross sections. A new feature of the function J(ϕ) in comparison to the current-phase relationships for superconducting microbridges is the occurrence of two nontrivial zeros of J(ϕ). It turns out that the frequency, ω, of the Josephson flow oscillations, which follow the sudden application of a force ΔF on a diaphragm, depends on ΔF in a way similar to that in which the frequency of the parallel ringing experiment in 3He–A depends on the field step ΔH.
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