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Entropy Change in Reversible Processes01:10

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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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Reversible and Irreversible Processes01:14

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The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
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Probability Laws01:49

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Overview
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First Law: Particles in One-dimensional Equilibrium01:10

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Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
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First Law: Particles in Two-dimensional Equilibrium01:18

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Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
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Lenz's Law01:15

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The direction in which the induced emf drives the current around a wire loop can be found through the negative sign. However, it is usually easier to determine this direction with Lenz's law, named in honor of its discoverer, Heinrich Lenz (1804–1865). Lenz's law states that the direction of the induced emf drives the current around a wire loop always to oppose the change in magnetic flux that causes the emf.
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相对主义的莱维过程.

Lucas G B de Souza1,2, M G E da Luz3, E P Raposo4

  • 1Universidade Federal do Rio Grande do Norte, Departamento de Física Teórica e Experimental, Natal 59078-970, Brazil.

Physical review. E
|November 18, 2025
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概括
此摘要是机器生成的。

研究人员在特殊相对论中探索了随机速度的总和,发现了一种新的相对论列维过程类. 这些过程有助于识别相对论制度,并评估实验中的随机相对论效应.

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科学领域:

  • 物理 物理学 物理
  • 数学 数学 是一个数学.
  • 统计力学 统计力学

背景情况:

  • 随机过程是物理学的基础.
  • 特殊相对论控制着高速现象.
  • 了解随机速度分布是相对论系统中的关键.

研究的目的:

  • 在特殊相对论中研究独立且分布相同的随机速度的和.
  • 介绍和描述一个新类型的随机过程:相对论的莱维过程.
  • 开发一种方法来识别相对论制度和评估随机相对论效应.

主要方法:

  • 在相对论速度加法下对速度分布的数学分析.
  • 基于分布度和测量概率的新过程的表征.
  • 与重离子扩散和反质子冷却的实验数据进行比较.

主要成果:

  • 一维速度分布在相对论速度加法下是稳定的.
  • 一个新的类型的随机过程,相对主义的莱维过程,已经被定义.
  • 相对主义制度可以通过分布和测量概率来识别.
  • 这些发现与重离子扩散和反质子冷却动量偏差一致.

结论:

  • 相对论列维过程代表了特殊相对论中随机现象的新框架.
  • 该研究提供了一项协议,用于评估实验中相对论随机效应的意义.
  • 结果为高能物理和加速器实验中的粒子行为提供了洞察力.