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Freezing into stripe states in two-dimensional ferromagnets and crossing probabilities in critical percolation
When a two-dimensional Ising ferromagnet is quenched from above the critical temperature
to zero temperature, the system eventually converges to either a ground state or an infinitely …
to zero temperature, the system eventually converges to either a ground state or an infinitely …
On the equivalence of the label propagation method of community detection and a Potts model approach
G Tibély, J Kertész - Physica A: Statistical Mechanics and its Applications, 2008 - Elsevier
We show that the recently introduced label propagation method for detecting communities in
complex networks is equivalent to finding the local minima of a simple Potts model. Applying …
complex networks is equivalent to finding the local minima of a simple Potts model. Applying …
Curvature-driven coarsening in the two-dimensional Potts model
We study the geometric properties of polymixtures after a sudden quench in temperature.
We mimic these systems with the q-states Potts model on a square lattice with and without …
We mimic these systems with the q-states Potts model on a square lattice with and without …
Universal finite-size scaling function for kinetics of phase separation in mixtures with varying number of components
From Kawasaki-exchange Monte Carlo simulations of the q-state Potts model, we present
results for the kinetics of phase separation in multicomponent mixtures, for q≤ 10, in space …
results for the kinetics of phase separation in multicomponent mixtures, for q≤ 10, in space …
Nonequilibrium characterization of spinodal points using short time dynamics
Although intuitively appealing, the concept of spinodal is rigorously defined only in systems
with infinite range interactions (mean-field systems). In short-range systems, a …
with infinite range interactions (mean-field systems). In short-range systems, a …
q-state Potts model metastability study using optimized GPU-based Monte Carlo algorithms
We implemented a GPU-based parallel code to perform Monte Carlo simulations of the two-
dimensional q-state Potts model. The algorithm is based on a checkerboard update scheme …
dimensional q-state Potts model. The algorithm is based on a checkerboard update scheme …
Topology-controlled Potts coarsening
We uncover unusual topological features in the long-time relaxation of the q-state kinetic
Potts ferromagnet on the triangular lattice that is instantaneously quenched to zero …
Potts ferromagnet on the triangular lattice that is instantaneously quenched to zero …
Zero-temperature coarsening in the 2d Potts model
We study the fate of the 2d kinetic q-state Potts model after a sudden quench to zero
temperature. Both ground states and complicated static states are reached with non-zero …
temperature. Both ground states and complicated static states are reached with non-zero …
Dynamics of dislocations in a two-dimensional block copolymer system with hexagonal symmetry
Block copolymer thin films have attracted considerable attention for their ability to self-
assemble into nanometre-scale architectures. Recent advances in the use of block …
assemble into nanometre-scale architectures. Recent advances in the use of block …
Geometrical properties of the Potts model during the coarsening regime
We study the dynamic evolution of geometric structures in a polydegenerate system
represented by aq-state Potts model with nonconserved order parameter that is quenched …
represented by aq-state Potts model with nonconserved order parameter that is quenched …