Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs
arXiv:1210.6116 · doi:10.1143/JPSJ.81.113001
Abstract
We study the two-dimensional classical XY model by the large-scale Monte Carlo simulation of the Swendsen-Wang multi-cluster algorithm using multiple GPUs on the open science supercomputer TSUBAME 2.0. Simulating systems up to the linear system size L=65536, we investigate the Kosterlitz-Thouless (KT) transition. Using the generalized version of the probability-changing cluster algorithm based on the helicity modulus, we locate the KT transition temperature in a self-adapted way. The obtained inverse KT temperature β_{KT} is 1.11996(6). We estimate the exponent to specify the multiplicative logarithmic correction, -2r, and precisely reproduce the theoretical prediction -2r=1/8.
References in corpus (3)
- Multi-GPU Accelerated Multi-Spin Monte Carlo Simulations of the 2D Ising Model
- GPU-based Swendsen-Wang multi-cluster algorithm for the simulation of two-dimensional classical spin systems
- High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model