Year: 2015
Type: article
Abstract: We consider the low but nonzero-temperature regimes of the Glauber dynamics in a chain of Ising spins with first- and second-neighbor interactions ${J}_{1},\phantom{\rule{0.16em}{0ex}}{J}_{2}$. For $0<\ensuremath{-}{J}_{2}/|{J}_{1}|<1$ it is known that at $T=0$ the dynamics is both metastable and noncoarsening, while being always ergodic and coarsening in the limit of $T\ensuremath{\rightarrow}{0}^{+}$. Based on finite-size scaling analyses of relaxation times, here we argue that in that latter situation the asymptotic kinetics of small or weakly frustrated $\ensuremath{-}{J}_{2}/|{J}_{1}|$ ratios is characterized by an almost ballistic dynamic exponent $z\ensuremath{\simeq}1.03(2)$ and arbitrarily slow velocities of growth. By contrast, for noncompeting interactions the coarsening length scales are estimated to be almost diffusive.
Source: Physical Review E
Author: M. D. Grynberg
Institution: Universidad Nacional de La Plata
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2070459751