Finite-size effects on the thermal resistivity of He4 in the quasi-two-dimensional geometry

Chongshan Zhang, Kwangsik Nho, D. P. Landau

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The thermal resistivity and its scaling function in quasi-two-dimensional (2D) He4 systems are studied by Monte Carlo and spin-dynamics simulations. We use the classical 3D XY model on L×L×H lattices with L H, applying open boundary conditions 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. The 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 that (i) the simulational data collapse onto a single curve for several values of H and temperature, thus supporting the concept of finite-size scaling theory and (ii) the calculated scaling function agrees well with the available experimental results for slabs using two free fitting parameters.

Original languageEnglish (US)
Article number174508
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number17
DOIs
StatePublished - 2006
Externally publishedYes

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Thermal conductivity
scaling
electrical resistivity
Geometry
geometry
Boundary conditions
boundary conditions
Spin dynamics
spin dynamics
Equations of motion
Mathematical operators
equations of motion
slabs
thermal conductivity
Decomposition
decomposition
operators
Computer simulation
curves
simulation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Finite-size effects on the thermal resistivity of He4 in the quasi-two-dimensional geometry. / Zhang, Chongshan; Nho, Kwangsik; Landau, D. P.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 73, No. 17, 174508, 2006.

Research output: Contribution to journalArticle

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