[HTML][HTML] Rapid sampling of stochastic displacements in Brownian dynamics simulations
We present a new method for sampling stochastic displacements in Brownian Dynamics
(BD) simulations of colloidal scale particles. The method relies on a new formulation for
Ewald summation of the Rotne-Prager-Yamakawa (RPY) tensor, which guarantees that the
real-space and wave-space contributions to the tensor are independently symmetric and
positive-definite for all possible particle configurations. Brownian displacements are drawn
from a superposition of two independent samples: a wave-space (far-field or long-ranged) …
(BD) simulations of colloidal scale particles. The method relies on a new formulation for
Ewald summation of the Rotne-Prager-Yamakawa (RPY) tensor, which guarantees that the
real-space and wave-space contributions to the tensor are independently symmetric and
positive-definite for all possible particle configurations. Brownian displacements are drawn
from a superposition of two independent samples: a wave-space (far-field or long-ranged) …
[HTML][HTML] Rapid sampling of stochastic displacements in Brownian dynamics simulations with stresslet constraints
Brownian Dynamics simulations are an important tool for modeling the dynamics of soft
matter. However, accurate and rapid computations of the hydrodynamic interactions
between suspended, microscopic components in a soft material are a significant
computational challenge. Here, we present a new method for Brownian dynamics
simulations of suspended colloidal scale particles such as colloids, polymers, surfactants,
and proteins subject to a particular and important class of hydrodynamic constraints. The …
matter. However, accurate and rapid computations of the hydrodynamic interactions
between suspended, microscopic components in a soft material are a significant
computational challenge. Here, we present a new method for Brownian dynamics
simulations of suspended colloidal scale particles such as colloids, polymers, surfactants,
and proteins subject to a particular and important class of hydrodynamic constraints. The …
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