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Kinetics of the two-dimensional long-range Ising model at low temperatures.
- Source :
-
Physical review. E [Phys Rev E] 2021 Jan; Vol. 103 (1-1), pp. 012108. - Publication Year :
- 2021
-
Abstract
- We study the low-temperature domain growth kinetics of the two-dimensional Ising model with long-range coupling J(r)∼r^{-(d+σ)}, where d=2 is the dimensionality. According to the Bray-Rutenberg predictions, the exponent σ controls the algebraic growth in time of the characteristic domain size L(t), L(t)∼t^{1/z}, with growth exponent z=1+σ for σ<1 and z=2 for σ>1. These results hold for quenches to a nonzero temperature T>0 below the critical temperature T&#95;{c}. We show that, in the case of quenches to T=0, due to the long-range interactions, the interfaces experience a drift which makes the dynamics of the system peculiar. More precisely, we find that in this case the growth exponent takes the value z=4/3, independently of σ, showing that it is a universal quantity. We support our claim by means of extended Monte Carlo simulations and analytical arguments for single domains.
Details
- Language :
- English
- ISSN :
- 2470-0053
- Volume :
- 103
- Issue :
- 1-1
- Database :
- MEDLINE
- Journal :
- Physical review. E
- Publication Type :
- Academic Journal
- Accession number :
- 33601633
- Full Text :
- https://doi.org/10.1103/PhysRevE.103.012108