Freezing into stripe states in two-dimensional ferromagnets and crossing probabilities in critical percolation

K Barros, PL Krapivsky, S Redner - … Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
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 …

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 …

Curvature-driven coarsening in the two-dimensional Potts model

MPO Loureiro, JJ Arenzon, LF Cugliandolo… - Physical Review E …, 2010 - APS
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 …

Universal finite-size scaling function for kinetics of phase separation in mixtures with varying number of components

S Majumder, SK Das, W Janke - Physical Review E, 2018 - APS
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 …

Nonequilibrium characterization of spinodal points using short time dynamics

ES Loscar, EE Ferrero, TS Grigera… - The Journal of chemical …, 2009 - pubs.aip.org
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 …

q-state Potts model metastability study using optimized GPU-based Monte Carlo algorithms

EE Ferrero, JP De Francesco, N Wolovick… - Computer Physics …, 2012 - Elsevier
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 …

Topology-controlled Potts coarsening

J Denholm, S Redner - Physical Review E, 2019 - APS
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 …

Zero-temperature coarsening in the 2d Potts model

J Olejarz, PL Krapivsky, S Redner - Journal of Statistical …, 2013 - iopscience.iop.org
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 …

Dynamics of dislocations in a two-dimensional block copolymer system with hexagonal symmetry

AD Pezzutti, DA Vega, MA Villar - … Transactions of the …, 2011 - royalsocietypublishing.org
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 …

Geometrical properties of the Potts model during the coarsening regime

MPO Loureiro, JJ Arenzon, LF Cugliandolo - Physical Review E—Statistical …, 2012 - APS
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 …