Slowed relaxational dynamics beyond the fluctuation–dissipation theorem

P. De Gregorio, F. Sciortino, P. Tartaglia, E. Zaccarelli and K.A. Dawson

Physica A: Statistical Mechanics and its Applications, 2002, vol. 307, issue 1, 15-26

Abstract: To describe the slow dynamics of a system out of equilibrium, but close to a dynamical arrest, we generalise the ideas of previous work to the case where time-translational invariance is broken. We introduce a model of dynamics that is reasonably general, and show how all of the unknown parameters of this model may be related to the observables or to averages of the noise. One result is a generalisation of the Fluctuation–dissipation theorem of type two (FDT2), and the method is thereby freed from this constraint. Significantly, a systematic means of implementing the theory to higher order is outlined. We propose the simplest possible closure of these generalised equations, following the same type of approximations that have been long known for the equilibrium case of mode coupling theory (MCT). Naturally, equilibrium MCT equations are found as a limit of this generalised formalism.

Keywords: Fluctuation–dissipation theorem; Glasses; Mode coupling theory; Aging (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437101003983
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:307:y:2002:i:1:p:15-26

DOI: 10.1016/S0378-4371(01)00398-3

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 ().