Abstract
We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the stretched-exponential function, we find that the dynamics changes from the stretched exponential to the power function as the dimensionality is increased: The two-, three-, four-, and infinite-dimensional Ising models are numerically studied, and the four- and infinite-dimensional Ising models exhibit the power-law relaxation. We also show that the finite-size scaling analysis using the normalized correlation length is markedly effective for the analysis of relaxational processes rather than the direct use of the Monte Carlo step.
| Original language | English |
|---|---|
| Article number | 052110 |
| Journal | Physical Review E |
| Volume | 98 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2018 Nov 12 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Cite this
Critical nonequilibrium cluster-flip relaxations in Ising models. / Tomita, Yusuke; Nonomura, Yoshihiko.
In: Physical Review E, Vol. 98, No. 5, 052110, 12.11.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Critical nonequilibrium cluster-flip relaxations in Ising models
AU - Tomita, Yusuke
AU - Nonomura, Yoshihiko
PY - 2018/11/12
Y1 - 2018/11/12
N2 - We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the stretched-exponential function, we find that the dynamics changes from the stretched exponential to the power function as the dimensionality is increased: The two-, three-, four-, and infinite-dimensional Ising models are numerically studied, and the four- and infinite-dimensional Ising models exhibit the power-law relaxation. We also show that the finite-size scaling analysis using the normalized correlation length is markedly effective for the analysis of relaxational processes rather than the direct use of the Monte Carlo step.
AB - We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the stretched-exponential function, we find that the dynamics changes from the stretched exponential to the power function as the dimensionality is increased: The two-, three-, four-, and infinite-dimensional Ising models are numerically studied, and the four- and infinite-dimensional Ising models exhibit the power-law relaxation. We also show that the finite-size scaling analysis using the normalized correlation length is markedly effective for the analysis of relaxational processes rather than the direct use of the Monte Carlo step.
UR - http://www.scopus.com/inward/record.url?scp=85056671838&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85056671838&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.98.052110
DO - 10.1103/PhysRevE.98.052110
M3 - Article
AN - SCOPUS:85056671838
VL - 98
JO - Physical review. E
JF - Physical review. E
SN - 1539-3755
IS - 5
M1 - 052110
ER -