标题： 三维非简谐晶体中的热传导 显示英文标题

标题： Heat conduction in a three dimensional anharmonic crystal

摘要： 我们对三维非平衡热传导进行模拟。 通过研究长度为N和宽度为W的薄片，我们考察了热导率从一维到三维行为的过渡。 我们发现，当N较大时，过渡发生在宽高比W/N较小的值处。 根据我们的数值数据，我们得出结论，三维系统具有有限且不发散的热导率，从而首次验证了无钉扎系统中的傅里叶定律。 显示英文摘要

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 cross-over from one-dimensional to three dimensional behavior of the thermal conductivity. We find that for large N, the cross-over 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 non-diverging thermal conductivity and thus provide the first verification of Fourier's law in a system without pinning.