2001/03/02 by Kwangsik Nho, Efstratios Manousakis
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.64.144513
5 two-column pages, 3 figures, Revtex 4
arxiv created 2001/03/02 · openalex publication_date 2001/09/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have studied the thermal conductivity of confined superfluids on a barlike geometry. We use the planar magnet lattice model on a lattice H\ifmmode×\else\texttimes\fiH\ifmmode×\else\texttimes\fiL with L\ensuremath≫H. We have applied open boundary conditions on the bar sides (the confined directions of length H) and periodic along the long direction. We have adopted a hybrid Monte Carlo algorithm to efficiently deal with the critical slowing down and in order to solve the dynamical equations of motion we use a discretization technique which introduces errors only O[(\ensuremathδt)6] in the time step \ensuremathδt. Our results demonstrate the consistency of scaling using known values of the critical exponents and we obtained the scaling function of the thermal resistivity. We find that our results for the thermal resistivity scaling function are in very good agreement with the available experimental results for pores using the temperature scale and thermal resistivity scale as free fitting parameters.