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相关概念视频

Entropy02:39

Entropy

34.7K
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...
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Entropy01:18

Entropy

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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...
3.4K
Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

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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...
4.7K
Second Law of Thermodynamics02:49

Second Law of Thermodynamics

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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 models, the...
26.5K
Second Law of Thermodynamics00:53

Second Law of Thermodynamics

67.1K
The Second Law of Thermodynamics states that entropy, or the amount of disorder in a system, increases each time energy is transferred or transformed. Each energy transfer results in a certain amount of energy that is lost—usually in the form of heat—that increases the disorder of the surroundings. This can also be demonstrated in a classic food web. Herbivores harvest chemical energy from plants and release heat and carbon dioxide into the environment. Carnivores harvest the...
67.1K
The Second Law of Thermodynamics01:14

The Second Law of Thermodynamics

6.6K
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...
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相关实验视频

Updated: Jan 8, 2026

Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes
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Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes

Published on: January 16, 2016

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热力学热不确定性关系.

Yoshihiko Hasegawa1, Tomohiro Nishiyama2

  • 1The University of Tokyo, Department of Information and Communication Engineering, Graduate School of Information Science and Technology, Tokyo 113-8656, Japan.

Physical review. E
|December 23, 2025
PubMed
概括
此摘要是机器生成的。

这项研究在随机热力学中建立了香农和产生之间的定量联系. 它揭示了决策准确性和决策模型中的产生之间的基本权衡.

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Differential Scanning Calorimetry — A Method for Assessing the Thermal Stability and Conformation of Protein Antigen
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Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
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相关实验视频

Last Updated: Jan 8, 2026

Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes
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Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes

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Differential Scanning Calorimetry — A Method for Assessing the Thermal Stability and Conformation of Protein Antigen
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Differential Scanning Calorimetry — A Method for Assessing the Thermal Stability and Conformation of Protein Antigen

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Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
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科学领域:

  • 随机热力学 随机热力学 随机热力学
  • 信息理论 信息理论
  • 统计力学 统计力学

背景情况:

  • 热力学不确定性关系将可观测的精度和的产生联系起来.
  • 香农度量化了信息理论中的不确定性.
  • 尚农和产量之间缺乏直接的定量联系.

研究的目的:

  • 为了建立一个可观测和产生的香农和之间的定量关系.
  • 引入和利用对称性来量化可观测的分布不对称性.
  • 证明在随机决策中存在一个基本的权衡.

主要方法:

  • 使用香农和产量的不确定性关系的制定.
  • 引入对称性来测量分布对称性.
  • 推导关系应用于扩散决策模型.

主要成果:

  • 为产量和对称的总和确定了 ln2 的下界.
  • 证明了产量和香农的总和不低于ln2.
  • 在扩散模型中证明了决策准确性和产生之间的权衡.

结论:

  • 香农和产量之间存在一个基本的不确定性关系.
  • 对称性提供了与产生相关的测量量.
  • 这些发现对理解随机决策过程有意义.