无旋涨落平衡原理：应用于玻尔兹曼、普朗克、费米-狄拉克、玻色-爱因斯坦和薛定谔分布的新统计观点
Dimensionless Fluctuation Balance Principle: New Statistical Perspectives Applied to Boltzmann, Planck, Fermi-Dirac, Bose-Einstein and Schrödinger Distributions
摘要：
在这项工作中，我们提出了一个全新的方法来获得统计分布的波动平衡。通过无量纲涨落分析，我们得到玻尔兹曼，普朗克，费米-狄拉克，玻色-爱因斯坦和薛定谔分布使用相同的基本原理。我们的结果指出了一个普遍的基础，成功地验证了主要的物理分布。我们称之为无偏差波动平衡原理。这是一个伟大的成就，它使我们能够讨论不同物理量之间的交换，就像我们在讨论能量守恒时，当某种能量转换为另一种能量时所做的那样，但更具有一般性，因为我们可以将一个物理量交换为任何其他物理量。所有需要分布的物理模型都可以利用本文提出的方法，包括：统计物理，薛定谔量子力学，纳米材料，薄膜和新材料建模。关键词：涨落，偏微分方程，玻尔兹曼，普朗克，熵，费米-狄拉克，玻色-爱因斯坦，薛定谔，分布。
英文摘要：
In this work we propose a completely new way to obtain statistics distributions from fluctuations balance. By dimensionless fluctuation analysis we obtain Boltzmann, Planck, Fermi-Dirac, Bose-Einstein and Schrödinger Distributions using the same fundamental principle. Our result point to a general foundation that was successful verified to principal Physics Distributions. We name it as Dimensionless Fluctuation Balance Principle. This is a great achievement which enable us to discuss exchange between different physical quantities, like we do when treat energy conservation when some type of energy is converted to another, but with more generality, because we can exchange one physical quantity to any other. All physics model which needs distribution can take advantage of methodology presented in this paper including: Statistical Physics, Schrödinger's Quantum Mechanics, Nanomaterials, Thin Films and New Materials Modeling. Keywords: Fluctuations, PDEs, Boltzmann, Planck, Entropy, Fermi-Dirac, Bose-Einstein, Schrödinger, Distributions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
