Abstract
We present a measure of the dynamical critical behavior: the multiscale dynamical exponent (MDE), zmd. Using dynamical renormalization-group concepts we study the relaxation times, , of a family of space scales defined by =1/k. Assuming dynamical universality we argue, and verify numerically, that zmd has the same value as the usually defined z. We measure zmd in the two-dimensional Ising model with the Metropolis and cluster dynamics and find zmetmd=2.1 0.1 and zwolffmd=0 0.15, respectively. We note that in our approach zmd is measured using a single temperature and a single lattice size. In addition, in the Metropolis case we present a method which helps to overcome critical slowing down in the dynamical measurements themselves.
Original language | English |
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Pages (from-to) | 6100-6103 |
Number of pages | 4 |
Journal | Physical Review B |
Volume | 51 |
Issue number | 9 |
DOIs | |
State | Published - 1995 |
Externally published | Yes |