Single-cluster dynamics for the random-cluster model (2009)
Deng, Youjin, Qian, Xiaofeng, Blote, Henk W. J.
We formulate a single-cluster Monte Carlo algorithm for the simulation of the random-cluster model. This algorithm is a generalization of the Wolff single-cluster method for the $q$-state Potts model...
Experimental demonstration of topological error correction (2009)
Gao, Wei-Bo, Fowler, Austin G., Raussendorf, Robert, Yao, Xing-Can, Lu, He, Xu, Ping, ...
Topological error correction--a novel method to actively correct errors based on cluster states with topological properties--has the highest order of tolerable error rates known to date (10^{-2})....
New critical exponents for percolation and the random-cluster model (2009)
Deng, Youjin, Zhang, Wei, Garoni, Timothy M., Sokal, Alan D., Sportiello, Andrea
We introduce several infinite families of new critical exponents for the random-cluster model, and give heuristic scaling arguments determining all but one of these exponents as a function of q in...
Crossing bonds in the random-cluster model (2009)
Guo, Wenan, Deng, Youjin, Blote, Henk W. J.
We derive the scaling dimension associated with crossing bonds in the random-cluster representation of the two-dimensional Potts model, by means of a mapping on the Coulomb gas. The scaling field...
Percolation and critical O($n$) loop configurations (2009)
Ding, Chengxiang, Deng, Youjin, Guo, Wenan, Blöte, Henk W. J.
We study a percolation problem based on critical loop configurations of the O($n$) loop model on the honeycomb lattice. We define dual clusters as groups of sites on the dual triangular lattice that...
A worm algorithm for the fully-packed loop model (2008)
Zhang, Wei, Garoni, Timothy M., Deng, Youjin
We present a Markov-chain Monte Carlo algorithm of worm type that correctly simulates the fully-packed loop model on the honeycomb lattice, and we prove that it is ergodic and has uniform stationary...
A modified Potts model for the interaction of surface-attached polymer complexes (2008)
Hellmann, Marcel, Deng, Youjin, Weiss, Matthias, Heermann, Dieter W.
We present a simple yet generic model for the behavior of a system of many surface-attached flexible polymers with rigid side chains. Beyond its potential application in describing the dynamics of...
We formulate a Swendsen-Wang-like version of the geometric cluster algorithm. As an application,we study the hard-core lattice gas on the triangular lattice with the first- and the second-neighbor...
Dynamic critical behavior of the Chayes-Machta-Swendsen-Wang algorithm (2007)
Deng, Youjin, Garoni, Timothy M., Machta, Jonathan, Ossola, Giovanni, Polin, Marco, Sokal, Alan D.
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...
Dynamic critical behavior of the worm algorithm for the Ising model (2007)
Deng, Youjin, Garoni, Timothy M., Sokal, Alan D.
We study the dynamic critical behavior of the worm algorithm for the two- and three-dimensional Ising models, by Monte Carlo simulation. The autocorrelation functions exhibit an unusual...
Critical speeding-up in a local dynamics for the random-cluster model (2007)
Deng, Youjin, Garoni, Timothy M., Sokal, Alan D.
We study the dynamic critical behavior of the local bond-update (Sweeny) dynamics for the Fortuin-Kasteleyn random-cluster model in dimensions d=2,3, by Monte Carlo simulation. We show that, for a...
Deng, Youjin, Garoni, Timothy M., Sokal, Alan D.
We present Monte Carlo simulations of the spanning-forest model (q \to 0 limit of the ferromagnetic Potts model) in spatial dimensions d=3,4,5. We show that, in contrast to the two-dimensional case,...
Geometric properties of two-dimensional O(n) loop configurations (2006)
Ding, Chengxiang, Qian, Xiaofeng, Deng, Youjin, Guo, Wenan, Blöte, Henk W. J.
We study the fractal geometry of O($n$) loop configurations in two dimensions by means of scaling and a Monte Carlo method, and compare the results with predictions based on the Coulomb gas...
Cluster simulations of loop models on two-dimensional lattices (2006)
Deng, Youjin, Garoni, Timothy M., Guo, Wenan, Blote, Henk W. J., Sokal, Alan D.
We develop cluster algorithms for a broad class of loop models on two-dimensional lattices, including several standard O(n) loop models at n \ge 1. We show that our algorithm has little or no...
Cluster Simulation of the O(N) loop model on the Honeycomb lattice (2006)
Deng, Youjin, Guo, Wenan, Blote, Henk W. J.
We study the O(N) loop model on the Honeycomb lattice with real value $N \geq 1$ by means of a cluster algorithm. The formulation of the algorithm is based on the equivalence of the O(N) loop model...
Finite-size scaling in the canonical ensemble (2005)
Deng, Youjin, Blote, Henk W. J.
We investigate the critical scaling behavior of finite systems in the canonical ensemble. The essential difference with the grand canonical ensemble. i.e., the constraint on the number of particles,...
Surface and bulk transitions in three-dimensional O(n) models (2005)
Deng, Youjin, Blöte, Henk W. J., Nightingale, M. P.
Using Monte Carlo methods and finite-size scaling, we investigate surface criticality in the O$(n)$ models on the simple-cubic lattice with $n=1$, 2, and 3, i.e. the Ising, XY, and Heisenberg models....