Static and Dynamic Anomalies in a Repulsive Spherical Ramp Liquid: Theory and Simulation
arXiv:cond-mat/0411274 · doi:10.1103/PhysRevE.72.021501
Abstract
We compare theoretical and simulation results for static and dynamic properties for a model of particles interacting via a spherically symmetric repulsive ramp potential. The model displays anomalies similar to those found in liquid water, namely, expansion upon cooling and an increase of diffusivity upon compression. In particular, we calculate the phase diagram from the simulation and successfully compare it with the phase diagram obtained using the Rogers-Young (RY) closure for the Ornstein-Zernike equation. Both the theoretical and the numerical calculations confirm the presence of a line of isobaric density maxima, and lines of compressibility minima and maxima. Indirect evidence of a liquid-liquid critical point is found. Dynamic properties also show anomalies. Along constant temperature paths, as the density increases, the dynamics alternates several times between slowing down and speeding up, and we associate this behavior with the progressive structuring and de-structuring of the liquid. Finally we confirm that mode coupling theory successfully predicts the non-monotonic behavior of dynamics and the presence of multiple glass phases, providing strong evidence that structure (the only input of mode coupling theory) controls dynamics.
arXiv commentStatic and Dynamic Anomalies in a Repulsive Spherical Ramp Liquid: Theory and Simulation
References in corpus (22)
- Generic mechanism for generating a liquid-liquid phase transition
- Higher order glass-transition singularities in colloidal systems with attractive interactions
- The Phase Diagram of Star Polymer Solutions
- Core-softened potentials and the anomalous properties of water
- Ideal glass-glass transitions and logarithmic decay of correlations in a simple system
- Dynamics of simulated water under pressure
- Interplay Between Time-Temperature-Transformation and the Liquid-Liquid Phase Transition in Water
- Liquid State Anomalies for the Stell-Hemmer Core-Softened Potential
- A quantitative test of the mode-coupling theory of the ideal glass transition for a binary Lennard-Jones system
- Confirmation of Anomalous Dynamical Arrest in attractive colloids: a molecular dynamics study
- Liquid-Liquid Phase Transitions for Soft-Core Attractive Potentials
- Supercooled Water and the Kinetic Glass Transition II: Collective Dynamics
- The Debye-Waller factor of liquid silica: Theory and simulation
- Structural arrest in dense star polymer solutions
- Low temperature properties of core-softened models: water vs. silica behavior
- Water-Like Anomalies for Core-Softened Models of Fluids: Two-Dimensional Systems
- Physics of the liquid-liquid critical point
- Water-like anomalies for core-softened models of fluids: One dimension
- Anomalous structure factor of dense star polymer solutions
- Star-Like Micelles with Star-Like Interactions: A quantitative Evaluation of Structure Factor and Phase Diagram
- Applications of the Stell-Hemmer Potential to Understanding Second Critical Points in Real Systems
- Equilibrium properties of highly asymmetric star-polymer mixtures
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- Thermodynamic and dynamic anomalies for a three dimensional isotropic core-softened potential
- Thermodynamics and Dynamics of the Two-Scale Spherically-Symmetric Jagla Model of Anomalous Liquids
- Colloidal systems with competing interactions: from an arrested repulsive cluster phase to a gel
- Structural Order for One-Scale and Two-Scale Potentials
- Structure of the First and Second Neighbor Shells of Water: Quantitative Relation with Translational and Orientational Order
- Quasi-binary amorphous phase in a 3D system of particles with repulsive-shoulder interactions
- Structural anomalies for a three dimensional isotropic core-softened potential
- Metastable liquid-liquid coexistence and density anomalies in a core-softened fluid
- A Family of Tunable Spherically-Symmetric Potentials that Span the Range from Hard Spheres to Water-like Behavior
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- Anomalous structure and dynamics of the Gaussian-core fluid
- Isotropic soft-core potentials with two characteristic length scales and anomalous behaviour
- Generalized Rosenfeld scalings for tracer diffusivities in not-so-simple fluids: Mixtures and soft particles
- Breakdown of The Excess Entropy Scaling for the Systems with Thermodynamic Anomalies
- Relationship between Structure, Entropy and Diffusivity in Water and Water-like Liquids
- Dynamical Behavior Near a Liquid-Liquid Phase Transition in Simulations of Supercooled Water
- Inversion of Sequence of Diffusion and Density Anomalies in Core-Softened Systems
- Phase behaviour of attractive and repulsive ramp fluids: integral equation and computer simulation studies
- Zero temperature phase diagram of the square-shoulder system
- Anomalous phase behavior of a soft-repulsive potential with a strictly monotonic force
- Hexatic phase and water-like anomalies in a two-dimensional fluid of particles with a weakly softened core
- Multiple glass transitions in star polymer mixtures: Insights from theory and simulations
- Polyelectrolyte-Compression Forces between Spherical DNA Brushes
- The physics of Empty Liquids: from Patchy particles to Water
- Structural anomalies of fluids: Origins in second and higher coordination shells
- Core-Softened System With Attraction: Trajectory Dependence of Anomalous Behavior
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- Liquid polymorphism, order-disorder transitions and anomalous behavior: a Monte Carlo study of the Bell-Lavis model for water
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- Diffusion Anomaly in an Associating Lattice Gas Model
- Unveiling the complex glassy dynamics of square shoulder systems: simulations and theory
- Structural and Dynamical Anomalies of a Gaussian Core Fluid: a Mode Coupling Theory Study
- Structural properties of the Jagla fluid
- On the advanced integral equation theory description of dense Yukawa one-component plasma liquids
- Thermodynamics and kinetics of crystallisation in deeply supercooled Stillinger-Weber silicon
- Dynamical anomalies and structural features of Active Brownian Particles characterised by two repulsive length scales
- Density and structural anomalies in soft-repulsive dimeric fluids
- Microscopic structure and thermodynamics of a core-softened model fluid from the second-order integral equations theory
- Reentrant melting of the exp-6 fluid: the role of the repulsion softness
- Reentrant disorder-disorder transitions in generalized multicomponent Widom-Rowlinson models
- Order-Disorder structural transition in a confined fluid
- 1D fluids with repulsive nearest-neighbour interactions: Low-temperature anomalies