Brownian dynamics simulations of hard rods in external fields and with contact interactions

Abstract

We propose a simulation method for Brownian dynamics of hard rods in one dimension for arbitrary continuous external force fields. It is an event-driven procedure based on the fragmentation and mergers of clusters formed by particles in contact. It allows one to treat particle interactions in addition to the hard-sphere exclusion as long as the corresponding interaction forces are continuous functions of the particle coordinates. We furthermore develop a treatment of sticky hard spheres as described by Baxter's contact interaction potential.

12 pages, 7 figures

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Cited by in corpus (10)

• Perspective: New directions in dynamical density functional theory
• Solitary cluster waves in periodic potentials: Formation, propagation, and soliton-mediated particle transport
• Phase locking and fractional Shapiro steps in collective dynamics of microparticles
• Scaling laws for single-file diffusion of adhesive particles
• Fast Brownian cluster dynamics
• Correlations of density and current fluctuations in single-file motion of hard spheres and in driven lattice gas with nearest-neighbor interaction
• Single-file transport of binary hard-sphere mixtures through periodic potentials
• Collective excitations in jammed states: ultrafast defect propagation and finite-size scaling
• Nonequilibrium phase transition in single-file transport at high crowding
• Current reversals in driven lattice gases and Brownian motion