Dynamic Simulations of the Kosterlitz-Thouless Phase Transition

Abstract

Based on the short-time dynamic scaling form, a novel dynamic approach is proposed to tackle numerically the Kosterlitz-Thouless phase transition. Taking the two-dimensional XY model as an example, the exponential divergence of the spatial correlation length, the transition temperature $T_{KT}$ and all critical exponents are computed. Compared with Monte Carlo simulations in equilibrium, we obtain data at temperatures nearer to $T_{KT}$.

to appear in Phys. Rev. E in Rapid Communication

References in corpus (7)

• Generalized Dynamic Scaling for Critical Magnetic Systems
• Dynamic Approach to the Fully Frustrated XY Model
• Short time dynamics of a two dimensional majority vote model
• Critical exponents in Ising spin glasses
• Critical Relaxation and Critical Exponents
• Dynamic SU(2) Lattice Gauge Theory at Finite Temperature
• Early-time critical dynamics of lattices of coupled chaotic maps

Cited by in corpus (17)

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• Dynamical scaling in Ising and vector spin glasses
• The ordering temperature and critical exponents of the binomial Ising spin glass in dimension three
• Fast, hierarchical, and adaptive algorithm for Metropolis Monte Carlo simulations of long-range interacting systems
• Invaded cluster simulations of the XY model in two and three dimensions
• Reweighting for Nonequilibrium Markov Processes Using Sequential Importance Sampling Methods
• Corrections to Scaling for the Two-dimensional Dynamic XY Model
• Monte Carlo Simulations of Short-time Critical Dynamics with a Conserved Quantity
• Scaling Theories of Kosterlitz-Thouless Phase Transitions
• Monte Carlo Simulations of Critical Dynamics with Conserved Order Parameter
• Short-Time Critical Dynamics of Damage Spreading in the Two-Dimensional Ising Model
• Dynamic relaxation of topological defect at Kosterlitz-Thouless phase transition
• A new approach to dynamic finite-size scaling
• XY Model with Persistent Noise