Accession Number:

AD0604923

Title:

A NOTE ON THE DYNAMICS OF A DISORDERED LINEAR CHAIN

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1955-08-03

Pagination or Media Count:

5.0

Abstract:

By a disordered linear chain, we mean a chain of onedimensional harmonic linear oscillators, each coupled to its nearest neighbors by harmonic forces, with the mass of each oscillator and the coupling parameters taken to be random variables with known distributions. The problem of calculating the distribution function of the frequencies of the normal modes of vibration of the chain in the limit as the chain becomes infinitely long was resolved by F. J. dyson. This paper presents a simple algebraic proof of the essential limit relation in Dysons paper.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE