Theory of stretched exponential relaxation and critical behavior at depinning for charge density waves

Giorgio Parisi and Luciano Pietronero

Physica A: Statistical Mechanics and its Applications, 1991, vol. 179, issue 1, 16-38

Abstract: We study analytically and numerically the critical behavior at the depinning transition and the stretched exponential relaxation in the pinned region of a charge density wave (CDW) under the influence of an applied field. The original model of an elastic string pinned by random sinusoidal impurity potentials is transformed, by a coarse graining operation, into a simpler model for which analytical expressions for the exponents corresponding to the critical behavior and to the stretched exponential relaxation can be derived in any dimension. In particular we can identify different correlation lenghts (static and dynamic) that diverge at the depinning transition with different exponents. Computer simulations on the coarse grained model and on the original CDW model turn out to be in very good agreement with our analytical expressions. These results clarify the nature of the critical behavior of the depinning transition and of the glassy-type relaxation in the pinned region. In addition our theoretical analysis may provide a new point of view for the description of other disordered and glassy systems.

Date: 1991
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719190212U
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:179:y:1991:i:1:p:16-38

DOI: 10.1016/0378-4371(91)90212-U

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 ().