### 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 language | English (US) |
---|---|

Article number | 174508 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 73 |

Issue number | 17 |

DOIs | |

State | Published - 2006 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*73*(17), [174508]. https://doi.org/10.1103/PhysRevB.73.174508

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

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 73, no. 17, 174508. https://doi.org/10.1103/PhysRevB.73.174508

}

TY - JOUR

T1 - Finite-size effects on the thermal resistivity of He4 in the quasi-two-dimensional geometry

AU - Zhang, Chongshan

AU - Nho, Kwangsik

AU - Landau, D. P.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33646591548&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646591548&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.73.174508

DO - 10.1103/PhysRevB.73.174508

M3 - Article

VL - 73

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 17

M1 - 174508

ER -