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论文题目:	Finite-size scaling of correlation functions in finite systems
论文题目英文:
作者:	Zhang, Xin; Hu, GaoKe; Zhang, YongWen; Li, XiaoTeng; Chen, XiaoSong
论文出处:
刊物名称:	SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
年:	2018
卷:	61
期:	12
页:	120511
联系作者:	Chen, XS (reprint author)
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摘要:	We propose the finite-size scaling of correlation functions in finite systems near their critical points. At a distance r in a d-dimensional finite system of size L, the correlation function can be written as the product of vertical bar r vertical bar(-(d-2+eta)) and a finite-size scaling function of the variables r/L and tL(1/v), where t = (T - T-c)/T-c, eta is the critical exponent of correlation function, and v is the critical exponent of correlation length. The correlation function only has a sigificant directional dependence when vertical bar r vertical bar is compariable to L. We then confirm this finite-size scaling by calculating the correlation functions of the two-dimensional Ising model and the bond percolation in two-dimensional lattices using Monte Carlo simulations. We can use the finite-size scaling of the correlation function to determine the critical point and the critical exponent eta.
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