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Path Between Thermodynamics States01:21

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Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
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A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
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Second Law of Thermodynamics02:49

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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...
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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...
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The First Law of Thermodynamics states that energy cannot be created or destroyed, only transformed. This can be demonstrated within a classic food web where light energy from the sun is harnessed as radiant energy by plants, converted into chemical energy, and stored as complex carbohydrates. The vegetation is then consumed by animals and during the digestion process, the sugars release energy as heat. The sugars also produce chemical energy that either gets used up doing work, stored in...
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A Murine Model of Irreversible and Reversible Unilateral Ureteric Obstruction
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一种可逆热力学与路径依赖性的不可逆热力学变化公式.

Huilong Ren1

  • 1State Key Laboratory of Disaster Reduction in Civil Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China.

Entropy (Basel, Switzerland)
|January 28, 2026
PubMed
概括

这项研究为不可逆转的热力学提出了一个新的能量拉格朗日数,将热量和计算统一在一个单一的行动中. 这种框架确保在合的消散过程中产生一致的,正的.

科学领域:

  • 热力学是一种热力学.
  • 连续力学 连续力学
  • 数学物理 数学物理

背景情况:

  • 热力学中不可逆转的过程缺乏统一的变化框架.
  • 现有的模型往往需要复杂的加法,如拉格朗奇乘数或雷利电位.
  • 准确计算热量和对于理解散热系统至关重要.

研究的目的:

  • 为不可逆转的热力学引入一种新的路径依赖的能量拉格朗基数.
  • 将热量和计算直接嵌入到动作积分中.
  • 为合消散现象提供统一的变化框架.

主要方法:

  • 开发了一种依赖路径的能量拉格朗,包含热量和.
  • 用一个明确的θs术语来表示赫尔姆霍尔茨结合性和正热容量.
  • 形成的热量作为一个分歧,以产生自然流.
  • 引入了上限变化和生产的历史积分.
  • 应用静态性来导出场方程和平衡定律.

主要成果:

  • 该配方自然包含赫尔姆霍尔茨结合性和正热容量.
  • 非负消耗性生产被模块化成一个单一的术语.
  • 静态性产生标准场方程,全球平衡和通道智能的功率同一性.
关键词:
连续热力学连续热力学.的生产产生.这是不可逆转的过程.取决于路径的动作.变化的热力学.

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  • 热传导,扩散和粘性力学的经典闭口作为特殊情况出现.
  • 该框架展示了统一的行动,审计和一致的积极生产.
  • 结论:

    • 拟议的拉格朗日方程为不可逆转的热力学提供了一个统一的变量方法.
    • 它通过消除对拉格朗奇乘数或雷利电位的需求来简化配方.
    • 该框架始终处理合消耗机制,确保产生正.