A new approach to the problem of disordered harmonic chains

T.M. Nieuwenhuizen

Physica A: Statistical Mechanics and its Applications, 1982, vol. 113, issue 1, 173-202

Abstract: In the problem of harmonic chains with random masses the exponential growth rate and the spectral distribution function are shown to be the real and imaginary part of Dyson's characteristic function along its cut in the complex plane. A new function — satisfying a certain integral equation — is introduced from which the characteristic function follows immediately. The functions introduced by Dyson, Schmidt and Matsuda and Ishii are recovered as special cases and it is shown that Schmidt's distributions WN converge as N →∞. Relations between Dyson's and Schmidt's functions are obtained. Finally the same method is applied to the problem of harmonic chains with random variables Kn⧸mn and Kn+1⧸mn and to the tight binding electron model with random site energies.

Date: 1982
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437182900140
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:113:y:1982:i:1:p:173-202

DOI: 10.1016/0378-4371(82)90014-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().