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相关概念视频

Entropy02:39

Entropy

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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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Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

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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.
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Entropy and Solvation02:05

Entropy and Solvation

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The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
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Radical Anti-Markovnikov Addition to Alkenes: Thermodynamics01:32

Radical Anti-Markovnikov Addition to Alkenes: Thermodynamics

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The anti-Markovnikov addition of hydrogen halides to an alkene is thermodynamically feasible only with HBr. The radical addition reaction with other hydrogen halides like HCl and HI is thermodynamically unfavorable.
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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...
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The Second Law of Thermodynamics01:14

The 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. 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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Optimization of Processing of Tiebangchui with Highland Barley Wine Based on the Box-Behnken Design Combined with the Entropy Method
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671

在Kaniadakis的透中多重添加性.

Antonio M Scarfone1, Tatsuaki Wada2

  • 1Istituto dei Sistemi Complessi-Consiglio Nazionale delle Ricerche (ISC-CNR), c/o Dipartimento di Scienza Applicata e Tecnologia del Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.

Entropy (Basel, Switzerland)
|January 22, 2024
PubMed
概括
此摘要是机器生成的。

卡尼亚达基的,一种的通用形式,在特定的约束条件下被证明是多增值的. 这一发现适用于由独立和相同分布的系统组成的最大分布的类.

关键词:
权力-法律分配的分配.伪添加性的伪添加性在 κ-中.

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Spin Saturation Transfer Difference NMR SSTD NMR: A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes
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Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy
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Spin Saturation Transfer Difference NMR SSTD NMR: A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes
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科学领域:

  • 统计力学 统计力学
  • 信息理论 信息理论
  • 数学物理 数学物理

背景情况:

  • 卡尼亚达基的是香农-博尔兹曼-吉布斯的概括.
  • 众所周知,卡尼亚达基斯对于双边统计学独立分布是超添加的.
  • 在各种科学领域中,了解性质至关重要.

研究的目的:

  • 调查卡尼亚达基的在哪些条件下表现出多重附加性.
  • 用这个属性来识别最大分布的类.
  • 探索由独立且相同分布的分布组成的系统的影响.

主要方法:

  • 对分发施加适当的约束.
  • 分析两个统计学上独立且分布相同的分布的组成.
  • 导出Kaniadakis的多添加性属性Sκ[pAB]=(1+ℵ)Sκ[pA]+Sκ[pB].

主要成果:

  • 存在最大分布类,标记为 ℵ > 0.
  • 卡尼亚达基的变为这些类的多添加.
  • 对于两个统计学上独立且分布相同的分布的组成,多重附加性是正确的.

结论:

  • 已经确定了一种新型的分布类,表现出多添加的卡尼亚达基斯.
  • 这项研究扩大了对增值特性的理解.
  • 这些发现对统计力学和信息理论有潜在的影响.