Abstract
We investigate the critical short-time scaling of the two-dimensional lattice φ4 field theory with a Langevin dynamics. Starting from a "hot" initial configuration but with a small magnetization, the critical initial increase of the magnetization is observed, through which we determine the critical point. From the short-time relaxation dynamics of various quantities at the critical point obtained, the dynamic critical exponents θ, z and the static exponent β/ν are evaluated. In executing a Langevin simulation, an appropriate discretization method with respect to the time degree of freedom becomes essentially important to be adopted and we show that the well-known second-order form of discretized Langevin equation works well to investigate the short-time dynamics.
| Original language | English |
|---|---|
| Pages (from-to) | 735-745 |
| Number of pages | 11 |
| Journal | International Journal of Modern Physics C |
| Volume | 20 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2009 May |
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Keywords
- φ theory
- Critical phenomena
- Higher-order algorithm
- Langevin dynamics
- Short-time scaling
ASJC Scopus subject areas
- Computer Science Applications
- Computational Theory and Mathematics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Analysis of critical short-time langevin dynamics in two-dimensional φ4 theory on the basis of a higher-order algorithm. / Otobe, Tsuyoshi; Nakazato, Hiromichi; Okano, Keisuke; Yuasa, Kazuya; Hattori, Nozomu.
In: International Journal of Modern Physics C, Vol. 20, No. 5, 05.2009, p. 735-745.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Analysis of critical short-time langevin dynamics in two-dimensional φ4 theory on the basis of a higher-order algorithm
AU - Otobe, Tsuyoshi
AU - Nakazato, Hiromichi
AU - Okano, Keisuke
AU - Yuasa, Kazuya
AU - Hattori, Nozomu
PY - 2009/5
Y1 - 2009/5
N2 - We investigate the critical short-time scaling of the two-dimensional lattice φ4 field theory with a Langevin dynamics. Starting from a "hot" initial configuration but with a small magnetization, the critical initial increase of the magnetization is observed, through which we determine the critical point. From the short-time relaxation dynamics of various quantities at the critical point obtained, the dynamic critical exponents θ, z and the static exponent β/ν are evaluated. In executing a Langevin simulation, an appropriate discretization method with respect to the time degree of freedom becomes essentially important to be adopted and we show that the well-known second-order form of discretized Langevin equation works well to investigate the short-time dynamics.
AB - We investigate the critical short-time scaling of the two-dimensional lattice φ4 field theory with a Langevin dynamics. Starting from a "hot" initial configuration but with a small magnetization, the critical initial increase of the magnetization is observed, through which we determine the critical point. From the short-time relaxation dynamics of various quantities at the critical point obtained, the dynamic critical exponents θ, z and the static exponent β/ν are evaluated. In executing a Langevin simulation, an appropriate discretization method with respect to the time degree of freedom becomes essentially important to be adopted and we show that the well-known second-order form of discretized Langevin equation works well to investigate the short-time dynamics.
KW - φ theory
KW - Critical phenomena
KW - Higher-order algorithm
KW - Langevin dynamics
KW - Short-time scaling
UR - http://www.scopus.com/inward/record.url?scp=67650784442&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=67650784442&partnerID=8YFLogxK
U2 - 10.1142/S0129183109013959
DO - 10.1142/S0129183109013959
M3 - Article
VL - 20
SP - 735
EP - 745
JO - International Journal of Modern Physics C
JF - International Journal of Modern Physics C
SN - 0129-1831
IS - 5
ER -