285 citations · 519 across the 10 of their papers we have counts for
10 papers
Numerical Simulation of the Trapping Reaction with Mobile and Reacting Traps
Joshua D. Hellerick, Robert C. Rhoades, Benjamin P. Vollmayr-Lee
We study a variation of the trapping reaction, A+B->A, in which both the traps (A) and the particles (B) undergo diffusion, and the traps upon meeting react according to A+A->0 or…
Anomalous Dimension in a Two-Species Reaction-Diffusion System
Benjamin Vollmayr-Lee, Jack Hanson, R. Scott McIsaac +1
We study a two-species reaction-diffusion system with the reactions and , with general diffusion constants and . Previous studies showed that f…
Stable Numerical Integration of an Epitaxial Growth Model with Slope Selection
Gregory M. Seyfarth, Benjamin P. Vollmayr-Lee
We consider a continuum phase field model for crystal growth via molecular beam epitaxy, with the goal of determining stable numerical time integration methods for the dynamics. We…
Anomalous velocity distributions in active Brownian suspensions
Andrea Fiege, Benjamin Vollmayr-Lee, Annette Zippelius
Large scale simulations and analytical theory have been combined to obtain the non-equilibrium velocity distribution, , of randomly accelerated particles in suspension. The s…
Single-Species Three-Particle Reactions in One Dimension
Benjamin P. Vollmayr-Lee, Melinda M. Gildner
Renormalization group calculations for fluctuation-dominated reaction-diffusion systems are generally in agreement with simulations and exact solutions. However, simulations of the…
Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
Uwe C. Tauber, Martin Howard, Benjamin P. Vollmayr-Lee
We review the application of field-theoretic renormalization group (RG) methods to the study of fluctuations in reaction-diffusion problems. We first investigate the physical origi…