Current progress on heat conduction in one-dimensional gas channels |
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Authors: | Mao Jun-wen and Li You-quan |
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Institution: | (1) Department of Physics, Huzhou Teachers College, Huzhou, 313000, China;(2) Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, 310027, China |
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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 k ∼ L
α
. 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 manifested. 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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Keywords: | heat conductivity hard-point gas billiard anomalous local thermal equilibrium |
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