Fermi-Pasta-Ulam β model:: Boundary jumps, Fourier's law, and scaling

被引:122
作者
Aoki, K
Kusnezov, D
机构
[1] Keio Univ, Dept Phys, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan
[2] Yale Univ, Sloane Phys Lab, Ctr Theoret Phys, New Haven, CT 06520 USA
关键词
D O I
10.1103/PhysRevLett.86.4029
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We examine the interplay of surface and volume effects in systems undergoing heat flow. In particular. we compute the thermal conductivity in the Fermi-Pasta-Ulam beta model as a function of temperature and lattice size, and scaling arguments are used to provide analytic guidance. From this we show that boundary temperature jumps can be quantitatively understood, and that they play an important role in determining the dynamics of the system, relating soliton dynamics, kinetic theory, and Fourier transport.
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页码:4029 / 4032
页数:4
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