Phase diagram and melting scenarios of two-dimensional Hertzian spheres

Abstract

We present computer simulations of a system of purely repulsive soft colloidal particles interacting via the Hertz potential and constrained to a two-dimensional plane. This potential describes the elastic interaction of weakly deformable bodies and can be a reliable model for qualitative description of behavior of soft macromolecules, like globular micelles and star polymers. We find a large number of ordered phases, including the dodecagonal quasicrystal, and analyze the melting scenarios of low density triangle and square phases. It is interesting that depending on the position on the phase diagram the system can melt both through the first order transition and in accordance with the Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young (BKTHNY) scenario (two continuous transitions with the intermediate hexatic phase) and also in accordance with recently proposed two-stage melting with the first order hexatic-isotropic liquid transition and continuous solid-hexatic transition. We also demonstrate the possibility of the tricritical point on the melting line.

arXiv comment11 pages, 18 figures

References in corpus (38)

• Square ice in graphene nanocapillaries
• Two-step melting in two dimensions: First-order liquid-hexatic transition
• 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
• Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods
• Thermodynamics, Structure, and Dynamics of Water Confined between Hydrophobic Plates
• Liquid State Anomalies for the Stell-Hemmer Core-Softened Potential
• Thermodynamic and dynamic anomalies for a three dimensional isotropic core-softened potential
• Phase diagram of Hertzian spheres
• Quasi-binary amorphous phase in a 3D system of particles with repulsive-shoulder interactions
• Frank's constant in the hexatic phase
• Two-dimensional melting under quenched disorder
• Waterlike thermodynamic anomalies in a repulsive-step potential system
• Two-stage melting induced by dislocations and grain boundaries in Monolayers of Hard Spheres
• Hexatic phase in the two-dimensional Gaussian-core model
• Isotropic soft-core potentials with two characteristic length scales and anomalous behaviour
• Water-Like Anomalies for Core-Softened Models of Fluids: Two-Dimensional Systems
• Breakdown of The Excess Entropy Scaling for the Systems with Thermodynamic Anomalies
• Softness dependence of the Anomalies for the Continuous Shouldered Well potential
• Density affects the nature of the hexatic-liquid transition in two-dimensional melting of core-softened systems
• Inversion of Sequence of Diffusion and Density Anomalies in Core-Softened Systems
• Self-assembling two-dimensional quasicrystals in simple systems of monodisperse soft-core disks
• Anomalies in a waterlike model confined between plates
• Superfragile glassy dynamics of onecomponent system with isotropic potential: competition of diffusion and frustration
• Hexatic phase and water-like anomalies in a two-dimensional fluid of particles with a weakly softened core
• Effect of a potential softness on the solid-liquid transition in a two-dimensional core-softened potential system
• Silica-Like Sequence of Anomalies in Core-Softened Systems
• Can random pinning change the melting scenario of two-dimensional core-softened potential system?
• A water-like model under confinement for hydrophobic and hydrophilic particle-plate interaction potentials
• Core-Softened System With Attraction: Trajectory Dependence of Anomalous Behavior
• Structural behavior and dynamics of an anomalous fluid between solvophilic and solvophobic walls: templating, molding and superdiffusion
• Designing convex repulsive pair potentials that favor assembly of kagome and snub square lattices
• How to quantify structural anomalies in fluids?
• Phase diagram of a two-dimensional system with anomalous liquid properties
• Random pinning elucidates the nature of melting transition in two-dimensional core-softened potential system
• Coexistence of hexatic and isotropic phases in two-dimensional Yukawa systems
• Waterlike anomalies in a 2D core-softened potential
• Phase diagram of the system with the repulsive shoulder potential in two dimensions: density functional approach
• Honeycomb, square, and kagomé vortex lattices in superconducting systems with multi-scale inter-vortex interactions

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• A new mechanism of structural transition in 2D Hertzian spheres in the presence of random pinning
• Two step melting of the Weeks-Chandler-Anderson system in two dimensions
• Stripe phase of two-dimensional core-softened systems: structure recognition
• Sequential Phase Transitions and Transient Structured Fluctuations in Two-Dimensional Systems with a High-Density Kagome Lattice Phase
• Topological Order in an Antiferomagnetic Tetratic
• Structure of the simple harmonic-repulsive system in liquid and glassy states studied by the triple correlation function
• Identity Ordering and Metastable Clusters in Fluids with Random Interactions
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