Custom flow in overdamped Brownian dynamics
| العنوان: | Custom flow in overdamped Brownian dynamics |
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| المؤلفون: | Johannes Renner, Daniel de las Heras, Matthias Schmidt |
| المصدر: | Physical Review E. 99 |
| بيانات النشر: | American Physical Society (APS), 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Physics, Force balance equation, Statistical Mechanics (cond-mat.stat-mech), Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Angular velocity, Physics - Fluid Dynamics, Condensed Matter - Soft Condensed Matter, 01 natural sciences, Force field (chemistry), 010305 fluids & plasmas, Density distribution, 0103 physical sciences, Compressibility, Brownian dynamics, Soft Condensed Matter (cond-mat.soft), Statistical physics, 010306 general physics, Conservative force, Condensed Matter - Statistical Mechanics, Brownian motion |
| الوصف: | When an external field drives a colloidal system out of equilibrium, the ensuing colloidal response can be very complex and obtaining a detailed physical understanding often requires case-by-case considerations. In order to facilitate systematic analysis, here we present a general iterative scheme for the determination of the unique external force field that yields a prescribed inhomogeneous stationary or time-dependent flow in an overdamped Brownian many-body system. The computer simulation method is based on the exact one-body force balance equation and allows to specifically tailor both gradient and rotational velocity contributions, as well as to freely control the one-body density distribution. Hence compressibility of the flow field can be fully adjusted. The practical convergence to a unique external force field demonstrates the existence of a functional map from both velocity and density to external force field, as predicted by the power functional variational framework. In equilibrium, the method allows to find the conservative force field that generates a prescribed target density profile, and hence implements the Mermin-Evans classical density functional map from density distribution to external potential. The conceptual tools developed here enable one to gain detailed physical insight into complex flow behaviour, as we demonstrate in prototypical situations. |
| تدمد: | 2470-0053 2470-0045 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62d5a49f5a00ed9464b3ec959a700ce4 https://doi.org/10.1103/physreve.99.023306 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....62d5a49f5a00ed9464b3ec959a700ce4 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 24700053 24700045 |
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