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We present an efficient method to perform overdamped Brownian dynamics simulations in external force fields and for particle interactions that include a hardcore part. The method applies to particle motion in one dimension, where it is…

统计力学 · 物理学 2026-02-23 Alexander P. Antonov , Sören Schweers , Artem Ryabov , Philipp Maass

A novel approach to account for hard-body interactions in (overdamped) Brownian dynamics simulations is proposed for systems with non-vanishing force fields. The scheme exploits the analytically known transition probability for a Brownian…

计算物理 · 物理学 2012-11-07 Hans Behringer , Ralf Eichhorn

Numerical algorithms are proposed for simulating the Brownian dynamics of charged particles in an external magnetic field, taking into account the Brownian motion of charged particles, damping effect and the effect of magnetic field…

计算物理 · 物理学 2009-05-21 L. J. Hou , Z. L. Mišković , A. Piel , P. K. Shukla

Brownian dynamics of colloidal particles on complex surfaces has found important applications in diverse physical, chemical and biological processes. However, current Brownian dynamics simulation algorithms mostly work for relatively simple…

软凝聚态物质 · 物理学 2019-11-26 Yuguang Yang , Bo Li

We introduce an event-driven simulation scheme for overdamped dynamics of frictionless hard spheres subjected to external forces, neglecting hydrodynamic interactions. Our event-driven approach is based on an exact equation of motion which…

软凝聚态物质 · 物理学 2015-06-03 Edan Lerner , Gustavo Düring , Matthieu Wyart

Brownian dynamics algorithms integrate numerically Langevin equations and allow to probe long time scales in simulations. A common requirement for such algorithms is that interactions in the system should vary little during an integration…

统计力学 · 物理学 2015-06-25 A. Scala , Th. Voigtmann , C. De Michele

We introduce methods for large scale Brownian Dynamics (BD) simulation of many rigid particles of arbitrary shape suspended in a fluctuating fluid. Our method adds Brownian motion to the rigid multiblob method at a cost comparable to the…

软凝聚态物质 · 物理学 2018-01-17 B. Sprinkle , F. Balboa Usabiaga , N. A. Patankar , A. Donev

We present a multiscale hybrid particle-field scheme for the simulation of relaxation and diffusion behavior of soft condensed matter systems. It combines particle-based Brownian dynamics and field-based local dynamics in an adaptive sense…

软凝聚态物质 · 物理学 2017-09-06 Shuanhu Qi , Friederike Schmid

We investigate the influence of external forces on the collective dynamics of interacting active Brownian particles in two as well as three spatial dimensions. Via explicit coarse graining, we derive predictive models that are applicable…

软凝聚态物质 · 物理学 2022-02-10 Jens Bickmann , Stephan Bröker , Raphael Wittkowski

Standard algorithms for the numerical integration of the Langevin equation require that interactions are slowly varying during to the integration timestep. This in not the case for hard-body systems, where there is no clearcut between the…

软凝聚态物质 · 物理学 2013-02-07 Antonio Scala

Simulations of macromolecular diffusion and adsorption in confined environments can offer valuable mechanistic insights into numerous biophysical processes. In order to model solutes at atomic detail on relevant time scales, Brownian…

软凝聚态物质 · 物理学 2021-03-16 Martin Reinhardt , Neil J. Bruce , Daria B. Kokh , Rebecca C. Wade

Brownian dynamics is a popular fine-grained method for simulating systems of interacting particles, such as chemical reactions. Though the method is simple to simulate, it is generally assumed that the dynamics is impossible to solve…

统计力学 · 物理学 2016-05-19 Stephen Smith , Ramon Grima

A set of interacting vortices in $2D$ in the presence of a substrate with square symmetry and at filling ratio $1$ can display a low temperature solid phase where only one of the reciprocal lattice vectors of the substrate is…

软凝聚态物质 · 物理学 2020-08-14 Toby Joseph

We present a novel simulation technique derived from Brownian cluster dynamics used so far to study the isotropic colloidal aggregation. It now implements the classical Kern-Frenkel potential to describe patchy interactions between…

软凝聚态物质 · 物理学 2015-06-19 Achutha Prabhu , Sujin B. Babu , Jorge S. Dolado , J. -C. Gimel

A quantitative analysis is presented for the stochastic interactions of a pair of Brownian hard spheres in non-adsorbing polymer solutions. The hard spheres are hypothetically trapped by optical tweezers and allowed for random motion near…

软凝聚态物质 · 物理学 2015-06-18 Mehdi Karzar-Jeddi , Remco Tuinier , Takashi Taniguchi , Tai-Hsi Fan

Stiff forces, which bind objects together or otherwise confine motion, are found widely in soft-matter systems - colloids with short range attractions, ligand-receptor contacts, particles in optical traps, fibres that resist stretching,…

软凝聚态物质 · 物理学 2026-01-15 Sophie Marbach , Adam Carter , Miranda Holmes-Cerfon

A meshfree Lagrangian method for the fluctuating hydrodynamic equations (FHEs) with fluid-structure interactions is presented. Brownian motion of the particle is investigated by direct numerical simulation of the fluctuating hydrodynamic…

动力系统 · 数学 2015-12-15 Anamika Pandey , Steffen Hardt , Axel Klar , Sudarshan Tiwari

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

其他凝聚态物理 · 物理学 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

Computationally modeling the behavior of wavelength-sized non-spherical particles in optical tweezers can give insight into the existence and stability of trapping equilibria as well as the optical manipulation of such particles more…

光学 · 物理学 2020-12-02 Wyatt Vigilante , Oscar Lopez , Jerome Fung

We study the driven Brownian motion of hard rods in a one-dimensional cosine potential with an amplitude large compared to the thermal energy. In a closed system, we find surprising features of the steady-state current in dependence of the…

统计力学 · 物理学 2018-10-24 Dominik Lips , Artem Ryabov , Philipp Maass
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