Stochastic Hard-Sphere Dynamics for Hydrodynamics of Non-Ideal Fluids

Abstract

A novel stochastic fluid model is proposed with non-ideal structure factor consistent with compressibility, and adjustable transport coefficients. This Stochastic Hard Sphere Dynamics (SHSD) algorithm is a modification of the Direct Simulation Monte Carlo (DSMC) algorithm and has several computational advantages over event-driven hard-sphere molecular dynamics. Surprisingly, SHSD results in an equation of state and pair correlation function identical to that of a deterministic Hamiltonian system of penetrable spheres interacting with linear core pair potentials. The fluctuating hydrodynamic behavior of the SHSD fluid is verified for the Brownian motion of a nano-particle suspended in a compressible solvent.

This work performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344 (LLNL-JRNL-401745). To appear in Phys. Rev. Lett. 2008

References in corpus (4)

• Hydrodynamic interactions and Brownian forces in colloidal suspensions: Coarse-graining over time and length-scales
• Mean Field Fluid Behavior of the Gaussian Core Model
• Particle-Based Mesoscale Hydrodynamic Techniques
• Consistent particle-based algorithm with a non-ideal equation of state

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• The Stokes-Einstein Relation at Moderate Schmidt Number
• Efficient Reactive Brownian Dynamics
• A Thermodynamically-Consistent Non-Ideal Stochastic Hard-Sphere Fluid
• A hybrid particle-continuum method for hydrodynamics of complex fluids