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 |
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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 |
Keywords
- Critical phenomena
- Higher-order algorithm
- Langevin dynamics
- Short-time scaling
- φ theory
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Computer Science Applications
- Computational Theory and Mathematics