在Gibbs和Helmholtz组合中,强制延长形链
Nigel T Andersen1, Jeff Z Y Chen1
1Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.
The Journal of chemical physics
|February 22, 2024
概括
拉伸半柔性聚合物产生不同的结果,取决于使用的统计组合. 对于聚合物拉伸,Gibbs和Helmholtz组合之间的等价性只能在长链热力学极限中实现.
科学领域:
- 聚合物物理 聚合物物理
- 统计力学就是统计力学.
背景情况:
- 半柔性聚合物可以通过施加力或固定端点进行拉伸.
- 这些方法对应于不同的统计集 (吉布斯和赫尔姆霍尔茨).
- 这些整体方法之间存在差异.
研究的目的:
- 为形链模型推导赫尔姆霍尔茨力-延伸关系.
- 将其与吉布斯集合结果进行比较.
- 确定两个集合之间的等同条件.
主要方法:
- 虫状链模型分析.
- 赫尔姆霍尔茨力-延伸关系的推导.
- 与现有的吉布斯组合结果进行比较.
主要成果:
- 赫尔姆霍尔茨的力量扩展关系是为了强烈拉伸的制度而衍生出来的.
- 直接比较显示了与吉布斯组合的差异.
- 发现等价性仅限于长链热力学极限.
结论:
- 对于聚合物拉伸的海尔姆霍尔茨和吉布斯组合通常不是同等的.
- 相当性是一个限制情况,取决于链条长度和热力学条件.
- 了解集合特异性行为对于聚合物物理研究至关重要.
相关概念视频
Gibbs Free Energy
33.4K
One of the challenges of using the second law of thermodynamics to determine if a process is spontaneous is that it requires measurements of the entropy change for the system and the entropy change for the surroundings. An alternative approach involving a new thermodynamic property defined in terms of system properties only was introduced in the late nineteenth century by American mathematician Josiah Willard Gibbs. This new property is called the Gibbs free energy (G) (or simply the free...
33.4K
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
Radical Chain-Growth Polymerization: Chain Branching
1.9K
The skeletal structure of polymers synthesized via radical polymerization is always branched. For example, the polymerization of ethylene by radical polymerization results in a low-density grade of polyethylene with a heavily branched skeletal structure. Here, the radical site abstracts hydrogen from the growing chain, and the radical site shifts from the end (a primary carbon center) to anywhere within the growing chain (a secondary carbon center). Consequently, the part of the chain from the...
1.9K
Generation of Straight or Branched Actin Filaments
2.9K
The straight or branched structure formation of actin filaments is controlled by nucleating proteins such as the formins and Arp2/3 complex. Formin-mediated assembly results in straight filaments, whereas Arp2/3 protein complex-mediated assembly results in branched actin filaments.
Arp2/3 Complex
Arp2/3 complex is a seven-subunit complex consisting of two proteins similar to actin- Arp2 and Arp3, and five other subunits that help keep Arp2 and Arp3 inactive. When required, the complex is...
Arp2/3 Complex
Arp2/3 complex is a seven-subunit complex consisting of two proteins similar to actin- Arp2 and Arp3, and five other subunits that help keep Arp2 and Arp3 inactive. When required, the complex is...
2.9K
Entropy and Solvation
7.1K
The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
7.1K
Path Between Thermodynamics States
3.2K
Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
3.2K


