论文标题
无量纲波动平衡原则：适用于Boltzmann，Planck，Fermi-Dirac，Bose-Einstein和Schrödinger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
论文作者
论文摘要
在这项工作中，我们提出了一种从波动平衡中获取统计分布的全新方法。通过无量纲波动分析，我们使用相同的基本原理获得了Boltzmann，Planck，Fermi-Dirac，Bose-Einstein和Schrödinger分布。我们的结果指出了一般基础，该基础已成功地验证了主要物理分布。我们将其命名为无量纲的波动平衡原则。这是一个伟大的成就，使我们能够讨论不同物理数量之间的交换，就像当某种能量转换为另一种能量时，我们会在治疗能量保护时所做的交换，但是有了更多的一般性，因为我们可以将一个物理量交换为其他任何物理数量。所有需要分布的物理模型都可以利用本文介绍的方法，包括：统计物理学，Schrödinger的量子力学，纳米材料，薄膜和新材料建模。关键字：波动，PDE，Boltzmann，Planck，Entropy，Fermi-Dirac，Bose-Einstein，Schrödinger，分布。
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.
