Monte Carlo simulation of colloidal particles dynamics in a drying drop

Abstract

The work is devoted to particles dynamics simulation in a colloidal drop, when it dries on a substrate and the triple-phase boundary is fixed. Experimental observations [Deegan R. D. et. al., 2000] show a ring deposition on a solid substrate after full droplet desiccation. This phenomenon of macrolevel is known as coffee ring effect. There are other experiments that show a co-effect at the microlevel. We are talking about the formation of a quasicrystalline structure on the outer part of the ring and occurrence amorphous inner zone of ring [MarínÁ. G. et. al., 2011]. The goal of this work is to check the hypothesis of other authors that this phenomenon is explained by the competition between the characteristic times of diffusional displacement of particles and their transfer by a compensation flow [MarínÁ. G. et. al., 2011]. Numerical calculations using a model built on the basis of such assumptions and effects did not show the formation of a quasicrystal structure. It is probably necessary to take into account additional effects in such a system, for example, surface tension. arXiv:1810.10812v1 [cond-mat.soft]

Joint effect of advection, diffusion, and capillary attraction on the spatial structure of particle depositions from evaporating droplets

“…These models are usually based on Monte Carlo or molecular dynamics methods [33,41,[43][44][45][46][47]. Some Monte Carlo based models are lattice models [48][49][50], and some are not [27,51,52]. The flow velocity is often calculated analytically for simple particular cases [45,[49][50][51][52][53].…”

“…Some Monte Carlo based models are lattice models [48][49][50], and some are not [27,51,52]. The flow velocity is often calculated analytically for simple particular cases [45,[49][50][51][52][53]. The obtained velocity field is taken into account for calculations of the particles dynamics.…”

Подавление Пилообразных Осцилляций При Использовании Разностной Схемы Для Моделирования Массопереноса В Высыхающей На Подложке Капле В Приближении Тонкого Слоя

“…Методы молекулярной динамики и диссипативной динамики частиц позволяют делать прогнозы лишь для относительно малого числа частиц [38][39][40]. Безрешеточные модели на основе метода Монте-Карло, в которых явно отслеживается динамика каждой частицы, лишены упомянутых недостатков [13,[41][42][43][44][45]. Но эти модели либо не учитывают гидродинамику, либо используют простые аналитические решения для частного случая.…”

“…Разработка модулей для моделирования диффузии и капиллярного притяжения сферических частиц обсуждалась ранее в [42,44,45]. Также был рассмотрен случай для бинарной смеси частиц разного размера [13].…”