自然模式的复杂性和.
Haoyu Wang1,2, Changqing Song1, Peichao Gao1
1State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing 100875, China.
PNAS nexus
|November 12, 2024
概括
在像混合咖啡和牛奶这样的过程中,复杂度的感知下降是一个幻觉. 新证据表明,系统的复杂性,就像一样,当适当地测量时,它永远不会减少,这挑战了长期以来的科学信仰.
科学领域:
- 复杂性和分析.
- 动态系统理论 动态系统理论
- 信息理论是信息理论.
背景情况:
- 复杂性和是动态系统中的关键概念.
- 一个常见的信念是复杂性随着时间的推移而减少,与不同.
- 这种信念,以咖啡和牛奶混合为例,缺乏经验验证.
研究的目的:
- 挑战一种普遍认为系统复杂性下降的观念.
- 研究动态系统中复杂性和之间的关系.
- 证明系统表征对复杂性评估的影响.
主要方法:
- 采用了一种针对自然模式量身定制的复杂度度.
- 分析了咖啡-牛奶混合系统作为一个动态模型.
- 评估了系统尺寸和分辨率对复杂性测量的影响.
主要成果:
- 经验证据与复杂性下降的想法相矛盾.
- 系统的复杂性,当正确的特征,与调整,从来没有减少.
- 感知到的复杂性下降是测量分辨率和尺寸的工件.
结论:
- 在咖啡和牛奶等系统中观察到的复杂性下降是由于不充分的表征造成的幻觉.
- 复杂性和基本上是对齐的,在适当的测量条件下不会减少.
- 准确的系统表征 (维度和分辨率) 对于理解动态系统及其复杂性-关系至关重要.
相关概念视频
Entropy within the Cell
10.4K
A living cell's primary tasks of obtaining, transforming, and using energy to do work may seem simple. However, the second law of thermodynamics explains why these tasks are harder than they appear. None of the energy transfers in the universe are completely efficient. In every energy transfer, some amount of energy is lost in a form that is unusable. In most cases, this form is heat energy. Thermodynamically, heat energy is defined as the energy transferred from one system to another that...
10.4K
Entropy
28.8K
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...
28.8K
The Second Law of Thermodynamics
5.2K
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...
5.2K
Entropy and the Second Law of Thermodynamics
2.7K
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...
2.7K
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
Second Law of Thermodynamics
23.1K
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...
23.1K


