Scaling of the thermal resistivity of $^4$He in restricted geometries
| dc.creator | Zhang, Chongshan | |
| dc.creator | Nho, Kwangsik | |
| dc.creator | Landau, D. P. | |
| dc.date | 2005-08-02 | |
| dc.date.accessioned | 2026-07-07T03:06:12Z | |
| dc.date.available | 2026-07-07T03:06:12Z | |
| dc.description | 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. | |
| dc.description | 4.5 pages, 4 figures. A tar file contains one tex file, one bib file and a fold which contains 4 eps files | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0508078 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0508078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26720 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Scaling of the thermal resistivity of $^4$He in restricted geometries | |
| dc.type | text |