### Abstract

We have studied the thermal conductivity of confined superfluids on a barlike geometry. We use the planar magnet lattice model on a lattice H×H×L with L≫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[(δt)^{6}] in the time step δt. 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.

Original language | English (US) |
---|---|

Article number | 144513 |

Pages (from-to) | 1445131-1445135 |

Number of pages | 5 |

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

Volume | 64 |

Issue number | 14 |

State | Published - Oct 1 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

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

*64*(14), 1445131-1445135. [144513].

**Scaling of thermal conductivity of helium confined in pores.** / Nho, Kwangsik; Manousakis, E.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 64, no. 14, 144513, pp. 1445131-1445135.

}

TY - JOUR

T1 - Scaling of thermal conductivity of helium confined in pores

AU - Nho, Kwangsik

AU - Manousakis, E.

PY - 2001/10/1

Y1 - 2001/10/1

N2 - We have studied the thermal conductivity of confined superfluids on a barlike geometry. We use the planar magnet lattice model on a lattice H×H×L with L≫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[(δt)6] in the time step δt. 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.

AB - We have studied the thermal conductivity of confined superfluids on a barlike geometry. We use the planar magnet lattice model on a lattice H×H×L with L≫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[(δt)6] in the time step δt. 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.

UR - http://www.scopus.com/inward/record.url?scp=0035476596&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035476596&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0035476596

VL - 64

SP - 1445131

EP - 1445135

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 14

M1 - 144513

ER -