从概括的热附加电流连接中得出的交换相关性
Brittany P Harding1, Zachary Mauri2, Vera W Xie1
1University of California, Merced, 5200 North Lake Road, Merced, California 95343, USA.
The Journal of chemical physics
|April 17, 2024
概括
开发了一种新的通用热附加热连接 (GTAC) 公式,用于计算热密物质中的交换相关性. 这种方法可以更好地模拟这种能量量子阶段.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子力学就是量子力学.
- 计算物理 计算物理
背景情况:
- 热密物质 (WDM) 是一种具有强烈相关性和量子效应的能量状态.
- 模拟WDM依赖于热密度函数理论 (TDFT).
- 准确的TDFT需要温度依赖的交换-关联近似值.
研究的目的:
- 为WDM引入一个通用的热附电连接 (GTAC) 公式.
- 为了使交换相关性 (SXC) 的提取使用模拟的相互作用强度缩放.
- 为研究WDM特性提供一个新的框架.
主要方法:
- 开发了使用虚构温度参数的通用热附电连接 (GTAC) 公式.
- 模拟相互作用强度扩展的应用.
- 使用Hellmann-Feynman方法从交换相关性潜力中推导SXC.
主要成果:
- GTAC公式成功地提取了交换相关性 (SXC).
- 作为相互作用强度的函数的SXC分析表明了新的近似形式.
- GTAC框架促进了温度,密度和相互作用强度相互作用的探索.
结论:
- 拟议的GTAC公式为WDM中计算SXC提供了一种新的方法.
- GTAC为开发改进的TDFT近似提供了一个多功能框架.
- 这项工作促进了对温暖密集物质的理解和模拟.
相关概念视频
Entropy
2.6K
The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
2.6K
Joule-Thomson Effect
3.8K
The Joule-Thomson effect, also known as the Joule-Kelvin effect, describes the temperature change of a fluid when it is forced through a valve or porous plug while keeping it in a thermally insulated environment. This experiment is called a throttling process. This is an important effect widely used in refrigeration and the liquefaction of gases.
This experiment forces high-pressure gas through a throttle valve or a porous plug to a lower-pressure region. The gas expands as it passes through to...
This experiment forces high-pressure gas through a throttle valve or a porous plug to a lower-pressure region. The gas expands as it passes through to...
3.8K
Entropy and the Second Law of Thermodynamics
2.8K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
2.8K
Efficiency of The Carnot Cycle
2.6K
The hypothetical Carnot cycle consists of an ideal gas subjected to two isothermal and two adiabatic processes. Since the internal energy of an ideal gas depends only on its temperature, which is the same before and after the completion of the Carnot cycle, there is no change in its internal energy. Hence, using the first law of thermodynamics, the total heat exchanged by the ideal gas equals the total work done. Thus, we can quantify the efficiency of the Carnot cycle via the heat exchanged...
2.6K
Thermodynamics: Activity Coefficient
1.4K
Activity is the measure of the effective concentration of the species in solution. It can be expressed as the product of the molar concentration of the species and its activity coefficient. The activity coefficient is a dimensionless quantity and depends on the total ionic strength of the solution.
The activity coefficient is a measure of the deviation from ideal behavior. When the ionic strength of the solution is minimal, the activity coefficient of an ionic species is close to unity, making...
The activity coefficient is a measure of the deviation from ideal behavior. When the ionic strength of the solution is minimal, the activity coefficient of an ionic species is close to unity, making...
1.4K
Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K


