Comment on "Ising model on a small world network".

作者: H Hong , Beom Jun Kim , MY Choi , None

DOI: 10.1103/PHYSREVE.66.018101

关键词:

摘要: In the recent study of Ising model on a small world network by P\ifmmode \mbox{\c{e}}\else \c{e}\fi{}kalski [Phys. Rev. E 64, 057104 (2001)], surprisingly value critical exponent $\ensuremath{\beta}\ensuremath{\approx}0.0001$ has been obtained for temperature dependence magnetization. We perform extensive Monte Carlo simulations same and conclude, via standard finite-size scaling various quantities, that phase transition in is mean-field nature, contrast to work \c{e}\fi{}kalski, but accordance with other existing studies.

参考文章(7)
Andrzej Pȩkalski, Ising model on a small world network. Physical Review E. ,vol. 64, pp. 057104- ,(2001) , 10.1103/PHYSREVE.64.057104
M Gitterman, Small-world phenomena in physics: the Ising model Journal of Physics A. ,vol. 33, pp. 8373- 8381 ,(2000) , 10.1088/0305-4470/33/47/304
A. Barrat, M. Weigt, On the properties of small-world network models European Physical Journal B. ,vol. 13, pp. 547- 560 ,(2000) , 10.1007/S100510050067
Beom Jun Kim, H Hong, Petter Holme, Gun Sang Jeon, Petter Minnhagen, MY Choi, None, XYmodel in small-world networks Physical Review E. ,vol. 64, pp. 056135- ,(2001) , 10.1103/PHYSREVE.64.056135
Duncan J. Watts, Steven H. Strogatz, Collective dynamics of small-world networks Nature. ,vol. 393, pp. 440- 442 ,(1998) , 10.1038/30918
Beom Jun Kim, Petter Minnhagen, Suhk Kun Oh, Jean S Chung, None, Relaxational dynamics study of the classical Heisenberg spin XY model in spherical coordinate representation Physical Review B. ,vol. 64, pp. 024406- ,(2001) , 10.1103/PHYSREVB.64.024406