ANALYSIS OF CRITICAL SHORT-TIME LANGEVIN DYNAMICS IN TWO-DIMENSIONAL ϕ4THEORY ON THE BASIS OF A HIGHER-ORDER ALGORITHM

Tsuyoshi Otobe (), Hiromichi Nakazato (), Keisuke Okano (), Kazuya Yuasa () and Nozomu Hattori ()
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Tsuyoshi Otobe: Department of Physics, Waseda University, Okubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan
Hiromichi Nakazato: Department of Physics, Waseda University, Okubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan
Keisuke Okano: Laboratory of Theoretical Physics and Information Science, Tokuyama University, Gakuendai, Shyunan, Yamaguchi 745-8566, Japan
Kazuya Yuasa: Waseda Institute for Advanced Study, Waseda University, Tokyo 169-8050, Japan
Nozomu Hattori: Department of Physics, Kyushu University, Hakozaki 6-10-1, Higashi-ku, Fukuoka 812-8581, Japan

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 05, 735-745

Abstract: We investigate the critical short-time scaling of the two-dimensional lattice ϕ4field 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,zand 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.

Keywords: Short-time scaling; critical phenomena; Langevin dynamics; higher-order algorithm; ϕ4theory (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013959

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