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International Workshop on Non-Perturbative Methods and Lattice QCD

UNIVERSAL SHORT-TIME CRITICAL BEHAVIOR ON THE TWO-DIMENSIONAL TRIANGULAR LATTICES

L. WANG, H. P. Ying, Zhijie Pan

Published Apr 1, 2001• 0 citations
Publisher
DOI
10.1142/9789812811370_0028

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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.