Relaxation of superflow in a network: an application to the dislocation model of supersolidity of helium crystals

Abstract

We have considered the dislocation network model for the supersolid state in He-4 crystals. In difference with uniform 2D and 3D systems, the temperature of superfluid transition T_c in the network is much smaller than the degeneracy temperature T_d. It is shown that a crossover into a quasi superfluid state occurs in the temperature interval between T_c and T_d. Below the crossover temperature the time of decay of the flow increases exponentially under decrease of the temperature. The crossover has a continuous character and the crossover temperature does not depend on the density of dislocations.

Corrected typos

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• A search for disordered (glassy) phase in solid 3He deformed in situ
• Plasticity induced superclimb in solid Helium-4: Direct and inverse effects
• Supersolid induced by dislocations with superfluid cores (Review article)
• Disorder-induced quantum properties of solid Helium-4
• Dissipation in mesoscale superfluids
• Saga of Superfluid Solids