Voter model on Sierpinski fractals

Abstract

We investigate the ordering of voter model on fractal lattices: Sierpinski Carpets and Sierpinski Gasket. We obtain a power law ordering, similar to the behavior of one-dimensional system, regardless of fractal ramification.

7 pages, 5 EPS figures, 1 table, uses elsart.cls

References in corpus (3)

• Critical Coarsening without Surface Tension: the Voter Universality Class
• Ferromagnetic Phase Transition in Barabasi-Albert Networks
• Mean field solution of the Ising model on a Barabasi-Albert network

Cited by in corpus (5)

• Analytical Solution of the Voter Model on Disordered Networks
• Majority Model on a network with communities
• Voter model on a directed network: Role of bidirectional opinion exchanges
• Coupling of link- and node-ordering in the coevolving voter model
• Schrödinger-invariance in the voter model