Abstract
We study the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang dynamics for the q-state Potts model to noninteger q, in two and three spatial dimensions, by Monte Carlo simulation. We show that the Li-Sokal bound z >= alpha/nu is close to but probably not sharp in d = 2 and is far from sharp in d = 3, for all q. The conjecture z >= beta/nu is false (for some values of q) in both d = 2 and d = 3
Original language | English |
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Pages (from-to) | 055701-1 - 055701-4 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 99 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2007 |
Externally published | Yes |