Thermodynamics and Statistical Physics
本课程分为热力学和统计物理两大部分。热力学部分讲授温度、热力学三定律、热力学函数、相平衡与化学平衡等宏观理论;统计物理部分讲授玻尔兹曼统计、玻色统计和费米统计,从微观角度解释宏观热力学性质。课程强调宏观与微观的联系,培养学生用统计方法处理多粒子系统的能力。
This course is divided into two major parts: thermodynamics and statistical physics. The thermodynamics part covers macroscopic theories including temperature, the three laws of thermodynamics, thermodynamic functions, phase equilibrium and chemical equilibrium. The statistical physics part covers Boltzmann statistics, Bose statistics, and Fermi statistics, explaining macroscopic thermodynamic properties from a microscopic perspective. The course emphasizes the connection between macroscopic and microscopic approaches, developing students' ability to handle multi-particle systems using statistical methods.
使用蒙特卡洛方法模拟二维伊辛模型,研究铁磁相变现象。要求实现Metropolis算法,计算不同温度下的系统磁化强度、比热和磁化率,通过数值结果确定临界点Tc。学生需绘制各物理量随温度变化的曲线,分析有限尺寸效应,并对比平均场理论的结果与数值模拟的差异,提交模拟程序和分析报告。
Simulate the two-dimensional Ising model using the Monte Carlo method to study ferromagnetic phase transitions. Required to implement the Metropolis algorithm, calculate system magnetization, specific heat, and magnetic susceptibility at different temperatures, and determine the critical point Tc from numerical results. Students plot curves of physical quantities versus temperature, analyze finite-size effects, compare results from mean field theory with numerical simulations, and submit simulation program and analysis report.