Validity of Fourier's law in one-dimensional momentum-conserving lattices with asymmetric interparticle interactions

被引：59
作者：
Wang, Lei [1 ,2 ,3 ]
Hu, Bambi [2 ,3 ,4 ]
Li, Baowen [2 ,3 ,5 ]
机构：
[1] Renmin Univ China, Dept Phys, Beijing 100872, Peoples R China
[2] Natl Univ Singapore, Dept Phys, Singapore 117546, Singapore
[3] Natl Univ Singapore, Ctr Computat Sci & Engn, Singapore 117546, Singapore
[4] Univ Houston, Dept Phys, Houston, TX 77204 USA
[5] Tongji Univ, Sch Phys Sci & Engn, Ctr Phonon & Thermal Energy Sci, Shanghai 200092, Peoples R China
来源：
PHYSICAL REVIEW E | 2013年 / 88卷 / 05期
基金：
中国国家自然科学基金;
关键词：
THERMAL-CONDUCTIVITY; HEAT-CONDUCTION; TRANSPORT;
D O I：
10.1103/PhysRevE.88.052112
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We have numerically studied heat conduction in a few one-dimensional momentum-conserving lattices with asymmetric interparticle interactions by the nonequilibrium heat bath method, the equilibrium Green-Kubo method, and the heat current power spectra analysis. Very strong finite-size effects are clearly observed. Such effects make the heat conduction obey a Fourier-like law in a wide range of lattice lengths. However, in yet longer lattice lengths, the heat conductivity regains its power-law divergence. Therefore, the power-law divergence of the heat conductivity in the thermodynamic limit is verified, as is expected by many existing theories.
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页数：4
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