Comparison of 2D melting criteria in a colloidal system

Abstract

We use super-paramagnetic spherical particles which are arranged in a two-dimensional monolayer at a water/air interface to investigate the crystal to liquid phase transition. According to the KTHNY theory a crystal melts in thermal equilibrium by two continuous phase transitions into the isotropic liquid state with an intermediate phase, commonly known as hexatic phase. We verify the significance of several criteria based on dynamical and structural properties to identify the crystal - hexatic and hexatic - isotropic liquid phase transition for the same experimental data of the given setup. Those criteria are the bond orientational correlation function, the Larson-Grier criterion, 2D dynamic Lindemann parameter, the bond-orientational susceptibility, the 2D Hansen-Verlet rule, the Löwen-Palberg-Simon criterion as well as a criterion based on the shape factor of Voronoi cells and Minkowski functionals. For our system with long range repulsion, the bond order correlation function and bond order susceptibility works best to identify the hexatic - isotropic liquid transition and the 2D dynamic Lindemann parameter identifies unambiguously the hexatic - crystalline transition.

20 pages, 13 figures

References in corpus (3)

• Two-step melting in two dimensions: First-order liquid-hexatic transition
• Crystallization of a quasi-two-dimensional granular fluid
• Computer simulations of two-dimensional melting with dipole-dipole interactions

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• Phase behavior of charged colloids at a fluid interface
• Introduction to colloidal dispersions in external fields
• Transition from a dissipative to a quasi-elastic system of particles with tunable repulsive interactions
• Two-Dimensional Melting of two- and three-component mixtures
• Freezing of an unconventional two-dimensional plasma
• Static and Dynamic Properties of Two Dimensional Coulomb Clusters
• Experimental evidence of thermal-like behaviour in dense granular suspensions
• Melting of Wigner-like Lattice of Parallel Polarized Dipoles
• Skyrmion Lattice Phases in Thin Film Multilayer