具有可差异化热性质的正规集团的深度生成建模
Shuo-Hui Li1, Yao-Wen Zhang1, Ding Pan1,2
1The Hong Kong University of Science and Technology, Department of Physics, Hong Kong, China.
Physical review letters
|July 31, 2025
概括
这项研究引入了一种新的变化方法,用于计算多体系统的热力学特性. 它提供了准确,高效和连续的温度依赖的结果,克服了现有的模拟技术的局限性.
科学领域:
- 计算物理 计算物理
- 统计力学 统计力学
- 机器学习 机器学习
背景情况:
- 对于多体系统来说,准确高效地计算热力学量仍然是一个挑战.
- 像马尔科夫链蒙特卡洛 (MCMC) 这样的传统方法需要大量的平衡时间.
- 现有的深度学习方法提供直接采样,但仅限于单个温度,可能引入偏差.
研究的目的:
- 为正规集团开发一种变量方法,以温度的连续函数提供热力学量.
- 为了能够在各种温度范围内直接采样,克服单点方法的局限性.
- 将深度学习的适配能力与热力学系统的严格物理分析相结合.
主要方法:
- 对于使用可分化的温度的正规合奏的变化方法.
- 与任何可处理密度生成模型进行集成,用于直接采样.
- 在最佳状态下,理论上保证了公正的博尔兹曼分布.
主要成果:
- 该方法准确计算了Ising和XY模型中的相变.
- 直接采样模拟显示了与MCMC可比的准确性,但效率更高.
- 可微分的自由能量与确切的值密切匹配,捕捉微妙的热过渡.
结论:
- 拟议的变量方法为计算热力学量提供了一个通用和高效的框架.
- 这种方法代表了将深度学习与物理分析结合起来,用于研究热系统的重大进步.
- 结果的连续,可分化的性质为热力学性质提供了类似分析的解决方案.
相关概念视频
Thermal Sigmatropic Reactions: Overview
2.2K
Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
2.2K
Temperature and Thermal Equilibrium
7.2K
Heat and temperature are essential concepts for everyone every day. The study of heat and temperature is part of an area of physics known as thermodynamics. It is not always easy to distinguish heat and temperature.
The concept of temperature has evolved from the common concepts of hot and cold. The scientific definition of temperature explains more than just our sense of hot and cold. Temperature is operationally defined as the quantity measured with a thermometer. Furthermore, temperature is...
The concept of temperature has evolved from the common concepts of hot and cold. The scientific definition of temperature explains more than just our sense of hot and cold. Temperature is operationally defined as the quantity measured with a thermometer. Furthermore, temperature is...
7.2K
Thermodynamic Potentials
973
Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
973
Thermodynamic Systems
5.5K
A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
Consider an example of tea boiling in a kettle. The...
Consider an example of tea boiling in a kettle. The...
5.5K
Thermal expansion and Thermal stress: Problem Solving
1.3K
San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in...
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in...
1.3K
Mechanisms of Heat Transfer I
4.6K
Just as interesting as the effects of heat transfer on a system are the methods by which the heat transfer occur. Whenever there is a temperature difference, heat transfer occurs. It may occur rapidly, such as through a cooking pan, or slowly, such as through the walls of a picnic ice box. So many processes involve heat transfer that it is hard to imagine a situation where no heat transfer occurs. Yet, every heat transfer takes place by only three methods: conduction, convection, and radiation.
4.6K


