Short-time dynamics of the positional order of the two-dimensional hard disk system
arXiv:cond-mat/9807295 · doi:10.1016/S0375-9601(99)00333-3
Abstract
We investigate the positional order of the two-dimensional hard disk model with short-time dynamics and equilibrium simulations. The melting density and the critical exponents z and eta are determined. Our results rule out a phase transition as predicted by the Kosterlitz-Thouless-Halperin-Nelson-Young theory as well as a first-order transition.
8 pages, 4 figures, minor changes
References in corpus (5)
- Generalized Dynamic Scaling for Critical Magnetic Systems
- Computer simulations of the two-dimensional melting transition using hard disks
- Universal Short-time Behaviour of the Dynamic Fully Frustrated XY Model
- Monte Carlo Simulation of the Short-time Behaviour of the Dynamic XY Model
- Critical Relaxation and Critical Exponents
Cited by in corpus (5)
- Computer simulations of two-dimensional melting with dipole-dipole interactions
- The hexatic phase of the two-dimensional hard disks system
- Corrections to Scaling for the Two-dimensional Dynamic XY Model
- Monte Carlo Simulations of Short-time Critical Dynamics with a Conserved Quantity
- Short-time behaviour of the two-dimensional hard-disk model