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We present a comparative study of two computer simulation methods to obtain static and dynamic properties of dilute polymer solutions. The first approach is a recently established hybrid algorithm based upon dissipative coupling between…

Soft Condensed Matter · Physics 2020-07-03 Tri T. Pham , Ulf D. Schiller , J. Ravi Prakash , Burkhard Duenweg

Even though the Dissipative Particle Dynamics (DPD) has shown its worth in a variety of research areas, it has been rarely used for polymer dynamics, particularly in dilute and semi-dilute conditions and under imposed flow fields. For such…

Soft Condensed Matter · Physics 2024-12-23 Sanjay Jana , Venkata Siva Krishna , Praphul Kumar , Indranil Saha Dalal

The interplay between concentration, flow, hydrodynamic interactions (HI), and topological interactions governing semidilute polymer dynamics in strong flows are challenging to characterize. Brownian dynamics (BD) simulations are…

Fluid Dynamics · Physics 2019-10-23 Charles D. Young , Charles E. Sing

A framework for performant Brownian Dynamics (BD) many-body simulations with adaptive timestepping is presented. Contrary to the Euler-Maruyama scheme in common non-adaptive BD, we employ an embedded Heun-Euler integrator for the…

Statistical Mechanics · Physics 2022-03-11 Florian Sammüller , Matthias Schmidt

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 is a…

Fluid Dynamics · Physics 2018-03-14 Andrew M. Fiore , James W. Swan

Two algorithms that combine Brownian dynamics (BD) simulations with mean-field partial differential equations (PDEs) are presented. This PDE-assisted Brownian dynamics (PBD) methodology provides exact particle tracking data in parts of the…

Computational Physics · Physics 2012-06-27 Benjamin Franz , Mark B. Flegg , S. Jonathan Chapman , Radek Erban

We present a fluctuating boundary integral method (FBIM) for overdamped Brownian Dynamics (BD) of two-dimensional periodic suspensions of rigid particles of complex shape immersed in a Stokes fluid. We develop a novel approach for…

Numerical Analysis · Mathematics 2018-09-26 Yuanxun Bao , Manas Rachh , Eric Keaveny , Leslie Greengard , Aleksandar Donev

A narrow Gaussian excluded volume potential, which tends to a delta-function repulsive potential in the limit of a width parameter d* going to zero, has been used to examine the universal consequences of excluded volume interactions on the…

Soft Condensed Matter · Physics 2020-07-03 K. Satheesh Kumar , J. Ravi Prakash

The coarse-grained molecular dynamics (MD) or Brownian dynamics (BD) simulation is a particle-based approach that has been applied to a wide range of biological problems that involve interactions with surrounding fluid molecules or the…

Soft Condensed Matter · Physics 2014-11-20 Szu-Pei Fu , Yuan-Nan Young , Shidong Jiang

We present a hybrid Brownian dynamics / Monte Carlo algorithm for simulating solutions of highly entangled semiflexible polymers or filaments. The algorithm combines a Brownian dynamics time-stepping approach with an efficient scheme for…

Soft Condensed Matter · Physics 2015-06-25 Shriram Ramanathan , David C Morse

Diffusion in bidisperse Brownian hard-sphere suspensions is studied by Stokesian Dynamics (SD) computer simulations and a semi-analytical theoretical scheme for colloidal short-time dynamics, based on Beenakker and Mazur's method [Physica…

Soft Condensed Matter · Physics 2015-05-06 Mu Wang , Marco Heinen , John F. Brady

We carry out the Ewald summation for the Rotne-Prager-Yamakawa mobility tensor, the Oseen mobility tensor and further variations of both, relevant for the hydrodynamic interactions in colloidal suspensions, where all interacting particles…

Soft Condensed Matter · Physics 2012-05-21 J. Bleibel

We use Brownian dynamics (BD) simulations and single molecule experiments to investigate the influence of topological constraints and hydrodynamic interactions on the dynamics and rheology of solutions of ring-linear polymer blends at the…

Soft Condensed Matter · Physics 2021-07-07 Charles D. Young , Yuecheng Zhou , Charles M. Schroeder , Charles E. Sing

Computer simulations of model systems are widely used to explore striking phenomena in promising applications spanning from physics, chemistry, biology, to materials science and engineering. The long range electrostatic interactions between…

Computational Physics · Physics 2020-07-21 Sheng-Chun Yang , Bin Li , You-Liang Zhu , Aatto Laaksonen , Yong-Lei Wang

The aim of this paper is to compare results from lattice-Boltzmann and Brownian dynamics simulations of linear chain molecules. We have systematically varied the parameters that may affect the accuracy of the lattice-Boltzmann simulations,…

Computational Physics · Physics 2015-05-13 Anthony J. C. Ladd , Rahul Kekre , Jason E. Butler

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…

Soft Condensed Matter · Physics 2017-04-26 A. M. Fiore , F. Balboa Usabiaga , A. Donev , J. W. Swan

We analyzed extensively the dynamics of polymer chains in solutions simulated with dissipative particle dynamics (DPD), with a special focus on the potential influence of a low Schmidt number of a typical DPD fluid on the simulated polymer…

Soft Condensed Matter · Physics 2009-11-11 W. Jiang , J. Huang , Y. Wang , M. Laradji

We introduce a simulation scheme for Brownian semistationary processes, which is based on discretizing the stochastic integral representation of the process in the time domain. We assume that the kernel function of the process is regularly…

Probability · Mathematics 2018-09-24 Mikkel Bennedsen , Asger Lunde , Mikko S. Pakkanen

Brownian dynamics simulations of fairly long, highly detailed polymer chains, at the resolution of a single Kuhn step, remains computationally prohibitive even on the modern processors. This is especially true when the beads on the chain…

Soft Condensed Matter · Physics 2022-08-16 Venkata Siva Krishna , Praphul Kumar , Bharatkumar Sharma , Indranil Saha Dalal

A high-fidelity finite volume scheme based on the BVD (boundary variation diminishing) concept is proposed in this study to solve the ideal magnetohydrodynamics (MHD) equations. A hybrid spatial reconstruction profile, consisting of a…

Fluid Dynamics · Physics 2024-04-24 Pan Chenxi , Song Sheng , Chen Chungang , Li Xingliang , Shen Xueshun , Xiao Feng
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