Scaling of the thermal resistivity of $^4$He in restricted geometries

Details Scaling of the thermal resistivity of $^4$He in restricted geometries Scaling of the thermal resistivity of $^4$He in restricted geometries

2005-08-02

arxiv.org/abs/cond-mat/0508078v1

Physics

Condensed Matter

Other Condensed Matter

4.5 pages, 4 figures. A tar file contains one tex file, one bib file and a fold which contains 4 eps files

Scientific paper

The thermal resistivity and its scaling function in quasi-2D $^4$He systems are studied by Monte Carlo and spin-dynamics simulation. We use the classical 3D XY model on $L\times L\times H$ lattices with $L\gg H$, applying open boundary condition along the $H$ direction and periodic boundary conditions along the $L$ directions. A hybrid Monte Carlo algorithm is adopted to efficiently deal with the critical slowing down and to produce initial states for time integration. Fourth-order Suzuki-Trotter decomposition method of exponential operators is used to solve numerically the coupled equations of motion for each spin. The thermal conductivity is calculated by a dynamic current-current correlation function. Our results show the validity of the finite-size scaling theory, and the calculated scaling function agrees well with the available experimental results for slabs using the temperature scale and the thermal resistivity scale as free fitting parameters.

Affiliated with

Also associated with

No associations

Rating

Scaling of the thermal resistivity of $^4$He in restricted geometries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Scaling of the thermal resistivity of $^4$He in restricted geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scaling of the thermal resistivity of $^4$He in restricted geometries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39689