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physics.comp-ph2014★ 12 cited
Hard-sphere interactions in velocity jump models
Benjamin Franz, Jake Taylor-King, Christian Yates +1
Group-level behaviour of particles undergoing a velocity jump process with hard-sphere interactions is investigated. We derive -particle transport equations that include the pos…
physics.comp-ph2012
Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics
Benjamin Franz, Mark B. Flegg, S. Jonathan Chapman +1
Two algorithms that combine Brownian dynamics (BD) simulations with mean-field partial differential equations (PDEs) are presented. This PDE-assisted Brownian dynamics (PBD) method…