Phase transition in the Ising model on a small-world network with distance-dependent interactions

Details Phase transition in the Ising model on a small-world network with distance-dependent interactions Phase transition in the Ising model on a small-world network with distance-dependent interactions

2003-06-02

arxiv.org/abs/cond-mat/0306017v1

Phys. Rev. E 68, 027101 (2003)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.68.027101

We study the collective behavior of an Ising system on a small-world network with the interaction $J(r) \propto r^{-\alpha}$, where $r$ represents the Euclidean distance between two nodes. In the case of $\alpha = 0$ corresponding to the uniform interaction, the system is known to possess a phase transition of the mean-field nature, while the system with the short-range interaction $(\alpha\to\infty)$ does not exhibit long-range order at any finite temperature. Monte Carlo simulations are performed at various values of $\alpha$, and the critical value $\alpha_c$ beyond which the long-range order does not emerge is estimated to be zero. Thus concluded is the absence of a phase transition in the system with the algebraically decaying interaction $r^{-\alpha}$ for any nonzero positive value of $\alpha$.

Affiliated with

Also associated with

No associations

Rating

Phase transition in the Ising model on a small-world network with distance-dependent interactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Phase transition in the Ising model on a small-world network with distance-dependent interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transition in the Ising model on a small-world network with distance-dependent interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-484568