Transmission coefficient and heat conduction of a harmonic chain with random masses: Asymptotic estimates on products of random matrices |
| |
| Authors: | Theo Verheggen |
| |
| Institution: | (1) Department of Mathematics, Rutgers University, 08903 New Brunswick, New Jersey, USA |
| |
| Abstract: | We find upper and lower bounds for the transmission coefficient of a chain of random masses. Using these bounds we show that the heat conduction in such a chain does not obey Fourier's law: For different temperatures at the ends of a chain containingN particles the energy flux falls off likeN
–1/2 rather thanN
–1.Research supported by a ZWO fellowship and in part by U.S.A.F.O.S.R. grant no. 78-3522 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
