A lattice mesoscopic model of dynamically heterogeneous fluids

Abstract

We introduce a mesoscopic three-dimensional Lattice Boltzmann Model which attempts to mimick the physical features associated with cage effects in dynamically heterogeneous fluids. To this purpose, we extend the standard Lattice Boltzmann dynamics with self-consistent constraints based on the non-local density of the surrounding fluid. The resulting dynamics exhibits typical features of dynamic heterogeneous fluids, such as non-Gaussian density distributions and long-time relaxation. Due to its intrinsically parallel dynamics, and absence of statistical noise, the method is expected to compute significantly faster than molecular dynamics, Monte Carlo and lattice glass models.

4 pages, 3 figures, to appear in Phys. Rev. Lett

References in corpus (12)

• Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part I. Theoretical Foundation
• Simulation of non-ideal gases and liquid-gas phase transitions by lattice Boltzmann equation
• Lattice Boltzmann Simulation of Non-Ideal Fluids
• Glassy dynamics of kinetically constrained models
• Scaling behavior in the $\beta$-relaxation regime of a supercooled Lennard-Jones mixture
• Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
• Lattice Glass Models
• A Lattice Boltzmann Model of Ternary Fluid Mixtures
• Spatial structures and dynamics of kinetically constrained models for glasses
• Subdiffusion and dynamical heterogeneities in a lattice glass model
• Lattice Boltzmann model with hierarchical interactions
• A lattice Boltzmann model with random dynamical constraints

Cited by in corpus (1)

• Polar coordinate lattice Boltzmann kinetic modeling of detonation phenomena