- 期刊
- OpenAccess
Multisite-Correlated Percolation and Ising Models with Multispin Interactions
並列摘要
We extend the concept of site percolation and bond percolation to multisite percolation in which each active element in the random process involves more than two sites. We show that the partition function of the Ising model with multisite interactions of strength Jm is the generating function of a multisite-correlated percolation model. From this connection, we conclude that the phase transition of the Ising model with multispin interactions is also a percolation transition. Based on such connection, we define nonpercolating geometrical factor gf and percolating geometrical factor gp which depend only on geometrical properties of the system. The thermal properties of the Ising model with multispin interactions may be derived simply from gf and gp. The theory is confirmed by an exact calculation for a one dimensional model with four-spin interactions.
並列關鍵字
無資料延伸閱讀
- Huang, D. W. (1996). Multiparticle Scaling Functions from a 1-D Ising Model. Chinese Journal of Physics, 34(6), 1298-1307. https://www.airitilibrary.com/Article/Detail?DocID=05779073-199612-201211270040-201211270040-1298-1307
- GUILLERNA, A. B., SEN, M. D. L., IBEAS, A., & QUESADA, S. A. (2005). ROBUSTLY STABLE MULTIESTIMATION SCHEME FOR ADAPTIVE CONTROL AND IDENTIFICATION WITH MODEL REDUCTION ISSUES. Discrete Dynamics in Nature and Society, 2005(), 31-67. https://doi.org/10.1155/DDNS.2005.31
- Li, X. G., & Xue, P. (2014). Multivariate Storage Degradation Modeling Based on Copula Function. Advances in Mechanical Engineering, 2014(), 307-313. https://doi.org/10.1155/2014/503407
- Weng, J. H. (2008). Multi-Resolution Based Adaptive Motion Detection Algorithm in Heterogeneous Networks [master's thesis, Yuan Ze University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0009-3007200813103100
- Hu, C. K. (1984). Percolation Theory of Phase Transitions in Spin Models. Chinese Journal of Physics, 22(4), 1-20. https://www.airitilibrary.com/Article/Detail?DocID=05779073-198412-201304100004-201304100004-1-20