Functional Renormalization Prediction of Rupture

Details Functional Renormalization Prediction of Rupture Functional Renormalization Prediction of Rupture

2000-11-09

arxiv.org/abs/cond-mat/0011164v1

Computational Seismology 32, 122-137 (2001)

Physics

Condensed Matter

Statistical Mechanics

Latex 14 pages + 7 eps figures, submitted to the special issue of Computational Seismology dedicated to the 80-anniversary of

Scientific paper

We develop theoretical formulas for the prediction of the rupture of systems which are known to exhibit a critical behavior, based solely on the knowledge of the early time evolution of an observable, such as the acoustic emission rate as a function of time or of stress. From the parameterization of such early time evolution in terms of a low-order polynomial, we use the functional renormalization approach introduced by Yukalov and Gluzman to transform this polynomial into a function which is asymptotically a power law. The value of the critical time tc,conditioned on the assumption that tc exists, is thus determined from the knowledge of the coefficients of the polynomials. We test with success this prediction scheme with respect to the order of the polynomials and as a function of noise.

Affiliated with

Also associated with

No associations

Rating

Functional Renormalization Prediction of Rupture 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 Functional Renormalization Prediction of Rupture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Functional Renormalization Prediction of Rupture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-607732