### Abstract

Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional systems of the size L_{x} × L_{y} × L_{z} (L_{z} ≫ L_{x}, L_{y}) are simulated. Heat baths are put in both ends: one has a higher temperature than the other. In the case of the crystal, the interaction potential V has a fourth-order nonlinear term in addition to the harmonic term, and the Nosé-Hoover method is used for the heat baths. In the case of the fluid, the stochastic boundary condition is charged, which performs the function of the heat baths. Fourier-type heat conduction is reproduced in both crystal and fluid models in a three-dimensional system, but it is not observed in lower-dimensional systems. The autocorrelation function of heat flux is also observed and long-time tails of the form ∼ t^{-d/2}, where d denotes the dimensionality of the system, are confirmed.

Original language | English |
---|---|

Pages (from-to) | 3150-3153 |

Number of pages | 4 |

Journal | Journal of the Physical Society of Japan |

Volume | 69 |

Issue number | 10 |

Publication status | Published - 2000 Oct |

Externally published | Yes |

### Fingerprint

### Keywords

- Hard-core fluids
- Heat conduction
- Nonequilibrium thermodynamics
- Nonlinear lattice

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*69*(10), 3150-3153.

**Simulational study on dimensionality dependence of heat conduction.** / Shimada, Takashi; Murakami, Teruyoshi; Yukawa, Satoshi; Saitou, Keiji; Ito, Nobuyasu.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 69, no. 10, pp. 3150-3153.

}

TY - JOUR

T1 - Simulational study on dimensionality dependence of heat conduction

AU - Shimada, Takashi

AU - Murakami, Teruyoshi

AU - Yukawa, Satoshi

AU - Saitou, Keiji

AU - Ito, Nobuyasu

PY - 2000/10

Y1 - 2000/10

N2 - Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional systems of the size Lx × Ly × Lz (Lz ≫ Lx, Ly) are simulated. Heat baths are put in both ends: one has a higher temperature than the other. In the case of the crystal, the interaction potential V has a fourth-order nonlinear term in addition to the harmonic term, and the Nosé-Hoover method is used for the heat baths. In the case of the fluid, the stochastic boundary condition is charged, which performs the function of the heat baths. Fourier-type heat conduction is reproduced in both crystal and fluid models in a three-dimensional system, but it is not observed in lower-dimensional systems. The autocorrelation function of heat flux is also observed and long-time tails of the form ∼ t-d/2, where d denotes the dimensionality of the system, are confirmed.

AB - Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional systems of the size Lx × Ly × Lz (Lz ≫ Lx, Ly) are simulated. Heat baths are put in both ends: one has a higher temperature than the other. In the case of the crystal, the interaction potential V has a fourth-order nonlinear term in addition to the harmonic term, and the Nosé-Hoover method is used for the heat baths. In the case of the fluid, the stochastic boundary condition is charged, which performs the function of the heat baths. Fourier-type heat conduction is reproduced in both crystal and fluid models in a three-dimensional system, but it is not observed in lower-dimensional systems. The autocorrelation function of heat flux is also observed and long-time tails of the form ∼ t-d/2, where d denotes the dimensionality of the system, are confirmed.

KW - Hard-core fluids

KW - Heat conduction

KW - Nonequilibrium thermodynamics

KW - Nonlinear lattice

UR - http://www.scopus.com/inward/record.url?scp=0034554239&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034554239&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034554239

VL - 69

SP - 3150

EP - 3153

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 10

ER -