Facilitated spin models in one dimension: a real-space renormalization group study

Details Facilitated spin models in one dimension: a real-space renormalization group study Facilitated spin models in one dimension: a real-space renormalization group study

2004-05-27

arxiv.org/abs/cond-mat/0405647v2

Phys. Rev. E 70, 046129 (2004)

Physics

Condensed Matter

Statistical Mechanics

13 pages. Extended East model RG to arbitrary block sizes. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.70.046129

We use a real-space renormalization group (RSRG) to study the low temperature dynamics of kinetically constrained Ising chains (KCICs). We consider the cases of the Fredrickson-Andersen (FA) model, the East model, and the partially asymmetric KCIC. We show that the RSRG allows one to obtain in a unified manner the dynamical properties of these models near their zero-temperature critical points. These properties include the dynamic exponent, the growth of dynamical lengthscales, and the behaviour of the excitation density near criticality. For the partially asymmetric chain the RG predicts a crossover, on sufficiently large length and time scales, from East-like to FA-like behaviour. Our results agree with the known results for KCICs obtained by other methods.

Affiliated with

Also associated with

No associations

Rating

Facilitated spin models in one dimension: a real-space renormalization group study 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 Facilitated spin models in one dimension: a real-space renormalization group study, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Facilitated spin models in one dimension: a real-space renormalization group study will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-269966