Fluctuations of two-time quantities and non-linear response functions

Details Fluctuations of two-time quantities and non-linear response functions Fluctuations of two-time quantities and non-linear response functions

2010-03-04

arxiv.org/abs/1003.1065v1

J. Stat. Mech. (2010) P04003

Physics

Condensed Matter

Statistical Mechanics

21 pages, 5 figures. To appear on Jstat

Scientific paper

We study the fluctuations of the autocorrelation and autoresponse functions and, in particular, their variances and co-variance. In a first general part of the Article, we show the equivalence of the variance of the response function with the second-order susceptibility of a composite operator, and we derive an equilibrium fluctuation-dissipation theorem beyond-linear order relating it to the other variances. In a second part of the paper we apply the formalism to the study to non-disordered ferromagnets, in equilibrium or in the coarsening kinetics following a critical or sub-critical quench. We show numerically that the variances and the non-linear susceptibility obey scaling with respect to the coherence length $\xi$ in equilibrium, and with respect to the growing length $L(t)$ after a quench, similarly to what is known for the autocorrelation and the autoresponse functions.

Affiliated with

Also associated with

No associations

Rating

Fluctuations of two-time quantities and non-linear response functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fluctuations of two-time quantities and non-linear response functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fluctuations of two-time quantities and non-linear response functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560282