碎形生长的三角模型,用于聚合物的吸附性旋转涂层
Kenneth Mulder1, Sophia M Lee2, Wei Chen2
1Department of Mathematics and Statistics, Mount Holyoke College, South Hadley, Massachusetts, United States of America.
PloS one
|February 23, 2024
概括
一个新的碎形增长模型创造了扩散的三角形网络,与球体聚合物不同. 这个模型产生了可变的碎形尺寸,并模拟了聚合物薄膜的发展,提供了对湿和回火过程的洞察.
科学领域:
- 应用数学 应用数学 应用数学
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
背景情况:
- 碎形维度在自然和人造物体中很常见.
- 扩散有限聚合 (DLA) 是一种成熟的碎形增长模型.
- 现有的模型经常模拟球状聚合物.
研究的目的:
- 介绍一种新的碎形增长模型.
- 探索它的动态,行为和输出范围.
- 将模型应用于聚合物薄膜开发.
主要方法:
- 开发了一种基于不断增长的质量与粒子结合和施加力的代模型.
- 模拟的碎形生长具有不同的参数.
- 将该模型应用于涂聚合物薄膜.
主要成果:
- 该模型产生了扩散的三角网络,与DLA不同.
- 实现了从1.5到1.83不等的可变碎形尺寸.
- 在不同的条件下成功模拟了聚合物薄膜的发育.
结论:
- 新模型提供了一种独特的方法来模拟碎形生长.
- 它可以复制在聚合物薄膜中观察到的可变碎形尺寸.
- 该模型可适应模拟聚合物形态上的露湿和溶剂回火效应.
相关概念视频
Radical Chain-Growth Polymerization: Overview
2.4K
Chain-growth or addition polymerization is successive addition reactions of monomers with a polymer chain. In radical chain-growth polymerization, the reaction proceeds via a free-radical intermediate. The free radical is formed from radical initiators, which spontaneously generate free radicals by homolytic fission. Organic peroxides (such as dibenzoyl peroxide, as shown in Figure 1) or azo compounds are popular radical initiators. A low concentration ratio of radical initiator to monomer is...
2.4K
Radical Chain-Growth Polymerization: Mechanism
2.5K
The radical chain-growth polymerization mechanism consists of three steps: initiation, propagation, and termination of polymerization. The polymerization initiates when a free radical generated from the radical initiator adds to the unsaturated bond in the monomer. The unpaired electron of the free radical and one π electron in the unsaturated bond creates a σ bond between the free radical and the monomer. As a result, the other π electron in the unsaturated bond converts this...
2.5K
Step-Growth Polymerization: Overview
3.5K
Step-growth or condensation polymerization is a stepwise reaction of bi or multifunctional monomers to form long-chain polymers. As all the monomers are reactive, most of the monomers are consumed at the early stages of the reaction to form small chains of reactive oligomers, which then combine to form long polymer chains in the late stages. Hence, the reaction has to proceed for a long time to achieve high molecular weight polymers.
Many natural and synthetic polymers are produced by...
Many natural and synthetic polymers are produced by...
3.5K
Molecular Weight of Step-Growth Polymers
2.2K
Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...
2.2K
Cationic Chain-Growth Polymerization: Mechanism
2.3K
The cationic polymerization mechanism consists of three steps: initiation, propagation, and termination. In the initiation step of the polymerization process, the π bond of a monomer gets protonated by the Lewis acid catalyst, which is formed from boron trifluoride and water. The protonation of the π bond generates a carbocation stabilized by the electron‐donating group. In the propagation step, the π bond of the second monomer acts as a nucleophile and attacks the...
2.3K
Ziegler–Natta Chain-Growth Polymerization: Overview
3.3K
Ziegler–Natta polymerization is another form of addition or chain‐growth polymerization used for synthesizing linear polymers over branched polymers. The catalyst used for polymerization is the Ziegler–Natta catalyst, named after Karl Ziegler and Giulio Natta, who developed it in 1953. This catalyst is an organometallic complex of titanium tetrachloride and triethyl aluminum, with the active form of the catalyst being an alkyl titanium compound. Using the Ziegler–Natta...
3.3K


