Mode densities of defect lines in three-dimensional Montroll-Potts lattices

Markus Grimm and Max Wagner

Physica A: Statistical Mechanics and its Applications, 1994, vol. 210, issue 1, 1-23

Abstract: The investigation addresses the problem to what extent 1-demensional defect structures in a crystalline surrounding are able to affect the low-frequency vibrational mode density. This problem is of importance for the thermodynamics and the energy transport properties of disordered materials like glasses. Employing an extended Lifshitz procedure, a Green function technique is used to calculate the mode density of several prototypical linear defect structures within a 3-dimensional reference lattice of Montroll-Potts type. Generally, soft defect structures produce a low-frequency increase of the mode density. In particular for a soft disturbance of the transversal springs around a lattice line a transition of the additional mode density to 1-dimensional behaviour (Δϱ ∝ ω0) takes place already at low frequencies. This would provide an additional mechanism for a linear T-behaviour of the specific heat as measured in glassy materials at low temperatures.

Date: 1994
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437194000999
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:210:y:1994:i:1:p:1-23

DOI: 10.1016/0378-4371(94)00099-9

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 ().