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# 物理代写|热力学作业代写THERMODYNAMICS代考|EML3007 Statistical Mechanics

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热力学Thermodynamics在热力学中，大型物体集合体之间的相互作用被研究和归类。这方面的核心是热力学系统及其周围环境的概念。一个系统是由粒子组成的，其平均运动定义了它的属性，而这些属性又通过状态方程相互关联。属性可以结合起来表达内能和热力学势，这对确定平衡和自发过程的条件很有用。

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## 物理代写|热力学作业代写THERMODYNAMICS代考|Introduction

Chapter 1 dealt with the definitions of many of the quantities required for the macroscopic description of the thermodynamic behavior of systems viewed as continua, including the definition of a system. However, we are familiar with the notion that all matter is made up of atomic or molecular entities and it is the purpose of statistical mechanics to provide a microscopic description of the behavior of a thermodynamic system in terms of the properties, interactions and motions of the atoms or molecules that make up the system. Because macroscopic thermodynamic systems contain very large numbers of molecules, the task of statistical mechanics is not to describe exactly what happens to every single molecule, but rather to derive results that pertain to the complete assembly of molecules that comprise the system in a probabilistic manner. The atoms and molecules that comprise the system are best described using quantum mechanics rather than classical mechanics so that is the basis for the development of the theory of statistical mechanics.

The solution of Schrödinger’s equation of quantum mechanics is a wave that describes the probable state of the system that includes a description of the quantum states (eigenstates) and energy levels (energy eigenvalues) an individual molecule and the system can attain; in quantum theory the energy levels are discrete. It is much easier to solve Schrödinger’s equation for a single molecule (or realistically for a single atom) than for a system of $N$ molecules or atoms to obtain the quantum states or energy levels so we begin with that problem. For a single, relatively simple molecule (such as nitrogen), the problem of solving Schrödinger’s equation is made tractable by separation of the modes of motion of the molecule (translation of the center of mass, rotation and vibration) so that each is handled independently. This is legitimate provided that certain conditions are met and a number of texts on quantum mechanics and/or statistical physics will provide you with the means of deducing the allowed energy states for each of these modes of motion.

## 物理代写|热力学作业代写THERMODYNAMICS代考|What Is Boltzmann’s Distribution?

According to Boltzmann’s distribution, the number of molecules $N_{i}$ in the $i$ th quantum state of energy, $\varepsilon_{i}$, is given by
$$N_{i}=\lambda \exp \left(-\varepsilon_{i} / k_{\mathrm{B}} T\right) .$$
Here, $\lambda$ is called the absolute activity of a substance. It is defined in terms of another important thermodynamic quantity called the chemical potential, $\mu$, by
$$\lambda=\exp \left(\mu / k_{\mathrm{B}} L T\right) .$$

## 物理代写|热力学作业代写THERMODYNAMICS代考|What Is Boltzmann’s Distribution?

$$N_{i}=\lambda \exp \left(-\varepsilon_{i} / k_{\mathrm{B}} T\right)$$

$$\lambda=\exp \left(\mu / k_{\mathrm{B}} L T\right)$$

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。