Current progress on heat conduction in one-dimensional gas channels
Current progress on heat conduction in one-dimensional gas channels
MAO Jun-wen1, LI You-quan2
1.Department of Physics, Huzhou Teachers College, Huzhou 313000, China; Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China; 2.Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China;
Abstract：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 ∼ Lº. 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.
出版日期: 2006-12-05
引用本文:
. Current progress on heat conduction in one-dimensional gas channels[J]. Frontiers of Physics in China - Selected Publications from Chinese Universities, 2006, 1(4): 428-441.
MAO Jun-wen, LI You-quan. Current progress on heat conduction in one-dimensional gas channels. Front. Phys. , 2006, 1(4): 428-441.
