利用等效变换和重正化群变换的方法,在Sierpinskigasket晶格上研究了具有近邻和次近邻相互作用Gaussian模型的临界性质,求出了临界温度和关联长度临界指数.结果表明:在相变点近邻相互作用K1和次近邻相互作用K2之间满足一定的关系,这种关系对铁磁体和反铁磁体都适用.并且考虑次近邻相互作用后,临界温度和临界指数都不发生改变.
Using the equivalent transformation and renormalization group method, the Gaussian model with nearest neighbour (n. n.) interactions and next-nearest neighbour (n. n. n.) interactions in generators is studied on a Sierpinski gasket lattice. It is found that the critical temperature Tc and the correlation critical exponent υare not changed by the n.n.n. interactions and the phase transition occurs only when the n.n. interaction K1 and the n.n.n. interaction K2 satisfies a certain relation, which is valid no matter whether K1 and K2 are ferromagnetic or antiferromagnetic.
参考文献
| [1] | S K Ma.Modern Theory of Critical Phenomena[M].New York:Benjamin,1976 |
| [2] | L E Riechl.A Modern Course in Statistical Physics[M].Austin:University of Texas Press,1980 |
| [3] | 孔祥木;李崧 .[J].中国科学A辑,1998,28(12):1129. |
| [4] | 孔祥木 .[J].低温物理学报,1998,20(05):379. |
| [5] | Zhen-quan Lin;Xiang-mu Kong;Z R Yang .[J].Physica A,1999,271:118. |
| [6] | S Li;Z R Yang .[J].Physical Review E,1997,55:6656. |
| [7] | S Li;Z R Yang .[J].Commun Theor Phys,1996,26:401. |
| [8] | W Jezewski;P Tomczak .[J].Physica A,210(01):73. |
| [9] | W Jezewski .[J].Physica A,171(01):209. |
| [10] | T H Berlin;Kac M .[J].Physical Review,1952,86(06):821. |
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