在查普曼-恩斯科格理论中的碰撞积分对于一个概括的莱纳德-斯潜力
Joseph R Perko1, Sotiris S Xantheas1,2,3
1Advanced Computing, Mathematics and Data Division, Pacific Northwest National Laboratory, 902 Battelle Boulevard, P.O. Box 999, MS J7-10, Richland, Washington 99352, USA.
The Journal of chemical physics
|January 15, 2025
概括
我们计算了对一般化的莱纳德-斯电位的碰撞积分. 这些值对于使用动力气体理论来确定气体运输特性 (如粘度和扩散系数) 是至关重要的.
科学领域:
- 物理化学 物理化学
- 化学物理 化学物理
- 热力学是一种热力学.
背景情况:
- 宏观运输特性 (粘度,扩散) 对于理解气体行为至关重要.
- 查普曼-恩斯科格理论为从分子相互作用中计算这些特性提供了一个框架.
- 列纳德-斯潜力是一个常见的模型,但一个通用的版本提供了更广泛的适用性.
研究的目的:
- 为了计算一个通用列纳德-斯 (gLJ) 潜力的碰撞积分.
- 为计算气体的宏观运输特性提供必要的数据.
- 将运动气体理论的适用性扩展到更广泛的分子间相互作用.
主要方法:
- 使用了查普曼-恩斯科格运动气体理论.
- 根据一般化的莱纳德-斯潜力计算了碰撞积分.
- 专注于GLJ潜力的长距离1/r依赖性.
主要成果:
- 报告了gLJ潜力的碰撞积分的特定值.
- 证明了潜能能够描述多种分子间相互作用的能力.
- 建立了准确的粘度和扩散系数计算的基础.
结论:
- 一般化的莱纳德-斯电位及其相关的碰撞积分增强了动力气体理论的预测能力.
- 这项工作有助于更准确地建模气体运输现象.
- 这些发现适用于具有不同分子间相互作用配置的各种气体.
相关概念视频
Electrostatic Boundary Conditions
410
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
410
Principle of Linear Impulse and Momentum for a System of Particles
250
In the context of a system of particles moving relative to an inertial frame of reference, the equation of motion is a crucial tool for understanding the dynamics of the system. This equation, which accounts for external forces acting on each particle, plays a fundamental role in describing the system's behavior.
Notably, internal forces between particles, occurring in equal and opposite collinear pairs, cancel out and are not part of the equation of motion. This exclusion simplifies the...
Notably, internal forces between particles, occurring in equal and opposite collinear pairs, cancel out and are not part of the equation of motion. This exclusion simplifies the...
250
Gravitational Potential Energy for Extended Objects
1.3K
Consider a system comprising several point masses. The coordinates of the center of mass for this system can be expressed as the summation of the product of each mass and its position vector divided by the total mass:
1.3K
Angular Momentum about an Arbitrary Axis
191
Imagine a rigid body with a mass denoted as 'm', which has its center of mass at point G and is rotating around an inertial reference frame. The angular momentum at an arbitrary point P can be calculated by taking the cross product of the position vector and linear momentum vector for each individual mass element.
The velocity of a mass element comprises its translational velocity and the relative velocity instigated by the body's rotation. Substituting the velocity equation into...
The velocity of a mass element comprises its translational velocity and the relative velocity instigated by the body's rotation. Substituting the velocity equation into...
191
Energy Associated With a Charge Distribution
1.5K
The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
1.5K
Angular Momentum and Principle Axes of Inertia
195
The concept of angular momentum for a solid structure is illustrated as the cumulative result of the cross-product of the position vector of the mass element and the cross-product of the body's angular velocity with the position vector.
To put this equation into simpler terms, it can be reconfigured using rectangular coordinates. This involves choosing an alternative set of XYZ axes that are arbitrarily inclined with respect to the reference frame. The process of deriving the rectangular...
To put this equation into simpler terms, it can be reconfigured using rectangular coordinates. This involves choosing an alternative set of XYZ axes that are arbitrarily inclined with respect to the reference frame. The process of deriving the rectangular...
195


