PHASE TRANSITION IN THE ISING MODEL ON LOCAL-WORLD EVOLVING NETWORKS

Wei Qiang (), Guangdao Hu and Pengda Zhao
Additional contact information
Wei Qiang: School of Computer, China University of Geosciences, Wuhan 430074, People's Republic of China;
Guangdao Hu: Faculty of Earth Resources, China University of Geosciences, Wuhan 430074, People's Republic of China
Pengda Zhao: Faculty of Earth Resources, China University of Geosciences, Wuhan 430074, People's Republic of China

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 11, 1717-1726

Abstract: We study the critical behavior of the Ising model on the local-world evolving network. Monte Carlo simulations with the standard Metropolis local update algorithms are performed extensively on the network with different parameters. Ising spins put onto network vertices exhibit an effective phase transition from ferromagnetism to paramagnetism upon heating. The critical temperature has been demonstrated to increase linearly with the average degree of the network asTC~ 〈k〉. Simulation results on local-world evolving networks with various parameters show logarithmical relationships of the critical temperature with the size of the local world asTC~ln(ml), and with the size of the network asTC~ln(N), respectively. The latter is the generalization of the conclusion for the Ising model on the Barabási–Albert scale-free network, a limiting case of the local-world evolving network.

Keywords: Phase transition; Ising model; local-world evolving network; 05.50.+q; 64.60.aq; 75.10.Hk; 77.80.Bh (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183108013242
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:19:y:2008:i:11:n:s0129183108013242

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183108013242

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().