Heat Conduction in a Three Dimensional Anharmonic Crystal

被引:67
作者
Saito, Keiji [1 ,2 ]
Dhar, Abhishek [3 ]
机构
[1] Univ Tokyo, Grad Sch Sci, Tokyo 1130033, Japan
[2] Japan Sci & Technol Agcy, CREST, Kawaguchi, Saitama 3320012, Japan
[3] Raman Res Inst, Bangalore 560080, Karnataka, India
关键词
THERMAL-CONDUCTIVITY; DIMENSIONAL LATTICES;
D O I
10.1103/PhysRevLett.104.040601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We perform nonequilibrium simulations of heat conduction in a three dimensional anharmonic lattice. By studying slabs of length N and width W, we examine the crossover from one dimensional to three dimensional behavior of the thermal conductivity kappa. We find that for large N, the crossover takes place at a small value of the aspect ratio W/N. From our numerical data we conclude that the three dimensional system has a finite nondiverging kappa and thus provides the first verification of Fourier's law in a system without pinning.
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页数:4
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