TY - JOUR

T1 - Phase diagram of a quasi-two-dimensional colloid assembly

AU - Frydel, Derek

AU - Rice, Stuart A.

PY - 2003/1/1

Y1 - 2003/1/1

N2 - We report the results of simulations of the phase diagrams of a quasi-two-dimensional (Q2D) colloid assembly and of a two-dimensional (2D) colloid assembly which have the same colloid-colloid interaction. That interaction is the same as used in the study reported by Zangi and Rice [Phys. Rev. E 58, 7529 (1998)]. Among the goals of the work reported are elucidation of the influence of small amplitude out-of-plane motion on the phase diagram of a system and determination of the effect of that motion on the role of a hexatic phase in the melting process. Both of the systems we have studied undergo a first-order solid I–solid II and solid II–solid III isostructural transition induced by the attractive and repulsive components of the interaction, respectively. Introduction of the out-of-plane motion shifts the low density portion of the phase boundaries involving the solid II phase. The liquid–solid I coexistence line is nearly the same for the two systems. The solid II–solid III transition is shifted to lower temperature and shifted to higher density in the quasi-two-dimensional system. We further use the simulations to calculate the elastic constants, which can be used to predict the location of the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) melting transition. For the Q2D system we find that the first-order melting transition preempts the KTHNY transition for the reduced temperatures [Formula presented] 0.60, and 0.50. For the 2D system, when [Formula presented] the KTHNY transition barely preempts the first-order melting transition and when [Formula presented] and 0.50 the ordinary first-order transition preempts the KTHNY transition. © 2003 The American Physical Society.

AB - We report the results of simulations of the phase diagrams of a quasi-two-dimensional (Q2D) colloid assembly and of a two-dimensional (2D) colloid assembly which have the same colloid-colloid interaction. That interaction is the same as used in the study reported by Zangi and Rice [Phys. Rev. E 58, 7529 (1998)]. Among the goals of the work reported are elucidation of the influence of small amplitude out-of-plane motion on the phase diagram of a system and determination of the effect of that motion on the role of a hexatic phase in the melting process. Both of the systems we have studied undergo a first-order solid I–solid II and solid II–solid III isostructural transition induced by the attractive and repulsive components of the interaction, respectively. Introduction of the out-of-plane motion shifts the low density portion of the phase boundaries involving the solid II phase. The liquid–solid I coexistence line is nearly the same for the two systems. The solid II–solid III transition is shifted to lower temperature and shifted to higher density in the quasi-two-dimensional system. We further use the simulations to calculate the elastic constants, which can be used to predict the location of the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) melting transition. For the Q2D system we find that the first-order melting transition preempts the KTHNY transition for the reduced temperatures [Formula presented] 0.60, and 0.50. For the 2D system, when [Formula presented] the KTHNY transition barely preempts the first-order melting transition and when [Formula presented] and 0.50 the ordinary first-order transition preempts the KTHNY transition. © 2003 The American Physical Society.

U2 - 10.1103/PhysRevE.68.061405

DO - 10.1103/PhysRevE.68.061405

M3 - Article

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

ER -