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相关概念视频

Path Between Thermodynamics States01:21

Path Between Thermodynamics States

2.9K
Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
2.9K
Thermodynamic Potentials01:26

Thermodynamic Potentials

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Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
744
Thermal Sigmatropic Reactions: Overview01:16

Thermal Sigmatropic Reactions: Overview

2.0K
Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
2.0K
Thermodynamic Systems01:06

Thermodynamic Systems

4.8K
A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
Consider an example of  tea boiling in a kettle. The...
4.8K
Maxwell's Thermodynamic Relations01:23

Maxwell's Thermodynamic Relations

2.3K
Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
All thermodynamic potentials are exact differentials. Therefore, their...
2.3K
Statements of the Second Law of Thermodynamics01:15

Statements of the Second Law of Thermodynamics

2.5K
The second law of thermodynamics can be stated in several different ways, and all of them can be shown to imply the others. The Clausius’ statement of the second law of thermodynamics is based on the irreversibility of spontaneous heat flow. It states that heat will not flow from the colder body to the hotter body unless some other process is involved. Additionally, as per the Kelvin’s statement, it is impossible to convert the heat from a single source into work without any other...
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相关实验视频

Updated: May 16, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

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在热力学一致的变化格雷-斯科特模型中的模式形成上.

Wenrui Hao1, Chun Liu2, Yiwei Wang3

  • 1Department of Mathematics, Pennsylvania State University, University Park, 16802, PA, United States.

Mathematical biosciences
|May 2, 2025
PubMed
概括
此摘要是机器生成的。

这项研究引入了四种变异的格雷-斯科特模型,增强了模式形成分析. 该模型稳定了经典模式,并揭示了小型反应速率的新振荡和移动波动力学.

关键词:
能量变化方法的能量变化方法.模式形成的形成模式.反应扩散系统的反应-扩散系统.过渡的模式是暂时的.变化格雷-斯科特模型的模型.

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Atomic Layer Deposition of Vanadium Dioxide and a Temperature-dependent Optical Model
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相关实验视频

Last Updated: May 16, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

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Atomic Layer Deposition of Vanadium Dioxide and a Temperature-dependent Optical Model
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Atomic Layer Deposition of Vanadium Dioxide and a Temperature-dependent Optical Model

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科学领域:

  • 化学动力学 化学动力学
  • 模式形成的形成模式.
  • 计算建模计算建模

背景情况:

  • 经典的格雷-斯科特模型是一个广泛研究的反应-扩散系统,以产生复杂的空间模式而闻名.
  • 现有的模型往往缺乏热力学一致性,并不能完全解释出生死亡过程.
  • 需要一个更完整和热力学健全的框架来研究模式形成.

研究的目的:

  • 介绍和分析一个包含反向反应和虚拟物种的四种变异格雷-斯科特模型.
  • 研究这种增强模型中的模式形成,特别是它与经典模型的关系.
  • 在变化框架内探索稳定状态和新兴模式的稳定性和动态.

主要方法:

  • 开发一个四种变量格雷-斯科特模型,确保热力学一致性.
  • 在一个空间维度中的图案形成的数值探索.
  • 分析一个小参数 ε (与逆反应速率相关) 对模式稳定性和动态的影响.
  • 对统一稳定状态的能量稳定性的研究.

主要成果:

  • 来自经典格雷-斯科特模型的静止模式可以在变化模型中作为短暂状态稳定为小 ε.
  • 变化模型表现出小 ε 的新振荡和移动波形模式,其持久时间为 O{\displaystyle O{\displaystyle O}-1).
  • 能量稳定性分析显示,虽然两个统一的稳定状态是稳定的,但该模型表现出初始条件依赖的模式选择.

结论:

  • 四种变异格雷-斯科特模型为研究反应扩散系统提供了更完整的物理和热力学一致的框架.
  • 这种增强模型将可观测的动态扩展到古典模型之外,包括稳定的短暂模式和新波现象.
  • 该模型的梯度流动力学表明,根据初始条件影响模式出现的选择机制.