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Molecular Weight of Step-Growth Polymers01:08

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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.
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Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."
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The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
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Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
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Maxwell-Boltzmann Distribution: Problem Solving

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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
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相关实验视频

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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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模拟使用刚性体的水的MD描述需要一个小的时间步骤,以确保Equipartition.

Dilipkumar N Asthagiri1, Thomas L Beck1

  • 1Oak Ridge National Laboratory, One Bethel Valley Road, Oak Ridge, Tennessee 37830-6012, United States.

Journal of chemical theory and computation
|December 29, 2023
PubMed
概括

在水模拟中使用更长的时间步骤会破坏分子运动类型之间的能量平衡. 较短的时间步骤对于准确捕捉水系统中的旋转动力学和热力学特性至关重要.

科学领域:

  • 计算化学和物理计算化学和物理
  • 分子动力学模拟的模拟.
  • 水性系统是水性系统.

背景情况:

  • 水系统的模拟通常会结水中的结合振动和角度曲.
  • 这允许更长的集成时间步骤 (δt),通常使用δt = 2 fs用于刚性水模型.
  • 假设是结振动简化了计算,没有显著的物理影响.

研究的目的:

  • 为了研究变化的时间步骤 (δt) 对水分子动力学模拟中的能量均等分配的影响.
  • 了解转换和旋转模式之间没有均等分配的原因.
  • 评估时间步骤对旋转放松动态和热力学特性的影响.

主要方法:

  • 模拟了水的SPC/E模型,使用从0.5 fs到3.0 fs的时间步骤范围,并使用质量再分区进行高达4 fs的时间步骤.
  • 分析了转换质心速度和角速度的自相关性.
  • 检查了波动-散流关系及其对能量分配和热力学属性的影响.

主要成果:

  • 对于 δt ≥ 0.5 fs,转换模式和旋转模式之间的均分并未实现,旋转模式显示较低的温度.
  • 旋转放松发生在与振动周期相似的时间尺度上,挑战了结振动的逻辑.
  • 时间步骤 δt ≥ 1 fs 不准确地捕捉快速旋转放松,有效地减慢它,并影响热力学特性,如潜在能量和过量的水合.

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结论:

  • 时间步骤的选择显著影响了对水的分子动力学模拟的准确性,特别是关于旋转动力学和能量分配的精确性.
  • 较短的时间步骤 (例如,0.5 fs) 是必要的,以准确地捕捉快速旋转放松,并确保可靠的热力学属性计算.
  • 该研究强调了考虑波动的时间演变的重要性,以及在平衡分子动力学中时间步骤选择所带来的局限性.