Dynamical properties of confined superfluids near the lambda point

Nho, Kwangsik; Manousakis, Efstratios
January 2000
AIP Conference Proceedings;2000, Vol. 504 Issue 1, p707
Academic Journal
In the present paper, we report on our progress towards a long term goal to develop a scheme to calculate dynamical and transport properties of helium near the superfluid transition using large-scale numerical techniques. We wish to study the influence of the boundary conditions and the confinement on these properties near the transition temperature where the coherence length can become of the size of the confining length. We intend to study the behavior of thermal conductivity and dynamic structure functions as the system undergoes a crossover from one to three dimensional. We use a bar-like geometry, i.e. a H×H×L lattice with L>H, where we have applied open boundary conditions on the bar sides and periodic along the long direction. This geometry is chosen in order to mimic the pore geometry used in experimental studies and in particular the experimental study of Boundary Effects on Superfluid Transition (BEST). In this paper we present results for the thermal conductivity and dynamic correlation functions obtained for one dimensional (H=1 and L>1) superfluids. We use the planar magnet model (which is in the same universality class as model-E) and we use a combination of Monte-Carlo simulation and a recently developed technique to solve the dynamical equations of motion. We also present our preliminary results for bar-like geometry and compare our findings with the present ground-based experimental studies and we hope to make predictions for BEST. © 2000 American Institute of Physics.


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