Scaling Regimes and the Singularity of Specific Heat in the 3D Ising Model  

作　　者：J.Kaupuzs R.V.N.Melnik J.Rimsans 

机构地区：[1]Institute of Mathematics and Computer Science,University of Latvia,29 Rai¸na Boulevard,LV1459,Riga,Latvia [2]Institute of Mathematical Sciences and Information Technologies,University of Liepaja,14 Liela Street,Liepaja LV-3401,Latvia [3]Wilfrid Laurier University,Waterloo,Ontario,Canada,N2L 3C5

出　　处：《Communications in Computational Physics》2013年第7期355-369,共15页计算物理通讯（英文）

基　　金：the facilities of the Shared Hierarchical Academic Research Computing Network(SHARCNET:www.sharcnet.ca).It has been performed within the framework of the ESF Project No.1DP/1.1.1.2.0/09/APIA/VIAA/142。

摘　　要：The singularity of specific heat CV of the three-dimensional Ising model is studied based on Monte Carlo data for lattice sizes L≤1536.Fits of two data sets,one corresponding to certain value of the Binder cumulant and the other-to the maximum of CV,provide consistent values of C0 in the ansatz CV(L)=C0+AL^(a/n) at large L,if a/n=0.196(6).However,a direct estimation from our Cmax V data suggests that a/n,most probably,has a smaller value(e.g.,a/n=0.113(30)).Thus,the conventional power-law scaling ansatz can be questioned because of this inconsistency.We have found that the data are well described by certain logarithmic ansatz.

关 键 词：Ising model Monte Carlo simulation specific heat finite-size scaling critical exponents 

分 类 号：O41[理学—理论物理]