关于动动态系统中转移的潜力
Daniele Massaro1, Saleh Rezaeiravesh2,3, Philipp Schlatter2,4
1SimEx/FLOW, Engineering Mechanics, KTH Royal Institute of Technology, Stockholm, 100 44, Sweden. dmassaro@kth.se.
Scientific reports
|December 15, 2023
概括
使用转移 (TE) 的信息理论揭示了混乱系统中的因果关系. 这种方法准确地捕捉了流动力学,并有助于控制计算错误.
科学领域:
- 动态系统 动态系统
- 信息理论 信息理论
- 计算流体动力学的流体动力学.
背景情况:
- 信息理论 (IT) 为科学领域的因果关系估计提供了工具.
- 动荡的动态系统对传统的因果关系测量提出了挑战.
- 时间滞后 (马尔科夫数序) 对转移 (TE) 的影响还没有得到充分研究.
研究的目的:
- 探索基于IT的流系统中的因果关系估计.
- 调查超参数,特别是时间滞后对TE的影响.
- 引入TE的新型应用,用于计算错误控制.
主要方法:
- 转移 (TE) 的计算与不同的马科夫次序.
- TE与流道流动中的自动和交叉相关性进行比较.
- 在矢量自回归 (VAR) 模型中分析因果关系时间尺度.
- 开发数据驱动的基于TE的指标,用于数值模拟错误控制.
主要成果:
- 史效应显著影响了流信号中的TE估计.
- 在流道流中,TE揭示了从墙壁到核心的支配性因果方向.
- 在VAR模型中,因果关系时间尺度取决于模型顺序,而不是积分时间尺度.
- 拟议的TE指标为计算错误控制提供了更好的趋同,而不需要附加的解决者.
结论:
- TE是分析乱系统因果关系的强大工具,提供了超越传统方法的洞察力.
- 该研究强调了时间滞后在混沌动态的TE计算中的关键作用.
- 一个新的数据驱动的TE应用程序提高了数值模拟的准确性和效率.
相关概念视频
01:20Entropy 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
02:39Entropy
30.2K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
30.2K
01:14The Second Law of Thermodynamics
5.3K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
5.3K
02:49Second Law of Thermodynamics
23.8K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic...
23.8K
01:10Entropy Change in Reversible Processes
2.6K
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.
2.6K
01:24Turbulent Flow
193
Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent...
193