title: Slow relaxation in the Ising model on a small-world network with strong long-range interactions.
abstract: We consider the Ising model on a small-world network, where the long-range interaction strength J2 is in general different from the local interaction strength J1, and examine its relaxation behaviors as well as phase transitions. As J(2)/J(1) is raised from zero, the critical temperature also increases, manifesting contributions of long-range interactions to ordering. However, it becomes saturated eventually at large values of J(2)/J(1) and the system is found to display very slow relaxation, revealing that ordering dynamics is inhibited rather than facilitated by strong long-range interactions. To circumvent this problem, we propose a modified updating algorithm in Monte Carlo simulations, assisting the system to reach equilibrium quickly.
authors.affiliation: Department of Physics, Seoul National University, Seoul 151-747, Korea.
authors.forename: Daun
authors.initials: D
authors.lastname: Jeong
authors.forename: M Y
authors.initials: MY
authors.lastname: Choi
authors.forename: Hyunggyu
authors.initials: H
authors.lastname: Park