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篇目详细内容 |
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【篇名】 |
Current progress on heat conduction in one-dimensional gas channels |
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【刊名】 |
Frontiers of Physics in China |
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【刊名缩写】 |
Front. Phys. China |
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【ISSN】 |
1673-3487 |
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【EISSN】 |
1673-3606 |
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【DOI】 |
10.1007/s11467-006-0048-2 |
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【出版社】 |
Higher Education Press and Springer-Verlag |
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【出版年】 |
2006 |
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【卷期】 |
1
卷4期 |
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【页码】 |
428-441
页,共
14
页 |
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【作者】 |
MAO Jun-wen;
LI You-quan;
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【关键词】 |
heat conductivity; hard-point gas; billiard; an- omalous; local thermal equilibrium |
【摘要】 |
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We give a brief review of the past development of model studies on one-dimensional heat conduction. Particularly, we describe recent achievements on the study of heat conduction in one-dimensional gas models including the hard-point gas model and billiard gas channel. For a one-dimensional gas of elastically colliding particles of unequal masses, heat conduction is anomalous due to momentum conservation, and the divergence exponent of heat conductivity is estimated as α≈0.33 in κ~ Lα. Moreover, in billiard gas models, it is found that exponent instability is not necessary for normal heat conduction. The connection between heat conductivity and diffusion is investigated. Some new progress is reported. A recently proposed model with a quantized degree of freedom to study the heat transport in quasi-one dimensional systems is illustrated in which three distinct temperature regimes of heat conductivity are mani-fested. The establishment of local thermal equilibrium (LTE) in homogeneous and heterogeneous systems is also discussed. Finally, we give a summary with an outlook for further study about the problem of heat conduction. |
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