热的局部化和非局部化拓模式
Jiaxin Li1, Chengxin Xu2, Zifu Xu1,2
1Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore.
概括
研究人员为扩散系统引入了一个新的维度,使热传输中拓模式的创建成为可能. 这项工作为在动态扩散场景中设计拓边缘状态铺平了道路.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 统计力学 统计力学
- 材料科学 材料科学 材料科学
背景情况:
- 拓物理学已经成功地应用于光子学,声学和力学等经典波浪系统.
- 人们越来越感兴趣将拓学概念扩展到扩散现象.
研究的目的:
- 在扩散系统中提出并展示实现拓现象的方法.
- 通过引入额外的实空间维度来研究系统固有值的转换.
- 在热传输中设计局部化和非局部化的拓模式.
主要方法:
- 为扩散系统引入额外的真实空间维度.
- 使用合网络量身定制有效的哈密尔顿式.
- 使用在活性热格子中的模拟和实验.
主要成果:
- 系统固有值从"虚构"转变为"真实".
- 在热传输中成功实现了局部化和非局部化的拓模式.
- 实验验证理论策略在活性热格子中的实验验证.
结论:
- 拟议的方法有效地在扩散系统中建立拓格子.
- 这项工作提供了关于在动态扩散场景中设计拓保护边缘状态的见解.
- 该方法可以扩展到各种扩散系统.
相关概念视频
01:19Mechanism of heat transfer
1.2K
Understanding heat transfer mechanisms is essential for understanding how our bodies maintain balance in different environmental conditions. When the environment is thermoneutral, the body is in a state of balance, neither using nor releasing energy to maintain its core temperature. However, when the environment is not thermoneutral, the body employs four heat transfer mechanisms to maintain homeostasis: conduction, convection, evaporation, and radiation. These mechanisms facilitate heat...
1.2K
01:14Mechanisms of Heat Transfer
292
Heat transfer between the human body and its environment occurs through four main mechanisms: conduction, convection, radiation, and evaporation.
Conduction, accounting for approximately 3% of body heat loss at rest, is the process of exchanging heat between molecules of two materials in direct contact. This can result in both heat loss and gain. For instance, when the body is submerged in water, which conducts heat 20 times more effectively than air, it can either lose or gain significant...
Conduction, accounting for approximately 3% of body heat loss at rest, is the process of exchanging heat between molecules of two materials in direct contact. This can result in both heat loss and gain. For instance, when the body is submerged in water, which conducts heat 20 times more effectively than air, it can either lose or gain significant...
292
01:14Mechanisms of Heat Transfer I
4.2K
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.
4.2K
01:20Mechanisms of Heat Transfer II
3.2K
In convection, thermal energy is carried by the large-scale flow of matter. Ocean currents and large-scale atmospheric circulation, which result from the buoyancy of warm air and water, transfer hot air from the tropics toward the poles and cold air from the poles toward the tropics. The Earth’s rotation interacts with those flows, causing the observed eastward flow of air in the temperate zones. Convection dominates heat transfer by air, and the amount of available space for the airflow...
3.2K
01:12Heat Flow and Specific Heat
5.4K
Heat is a type of energy transfer that is caused by a temperature difference, and it can change the temperature of an object. Since heat is a form of energy, its SI unit is the joule (J). Another common unit of energy often used for heat is the calorie (cal), which is defined as the energy needed to change the temperature of 1 g of water by 1 °C, specifically between 14.5 °C and 15.5 °C, since the energy needed shows a slight temperature dependence. Another commonly used unit is...
5.4K
02:46Quantifying Heat
54.2K
Thermal Energy Microscopically, thermal energy is the kinetic energy associated with the random motion of atoms and molecules. Temperature is a quantitative measure of “hot” or “cold”, which depends on the amount of thermal energy. When the atoms and molecules in an object are moving or vibrating quickly, they have a higher average kinetic energy (KE) (or higher thermal energy), and the object is perceived as “hot”, or it is described as being at a...
54.2K