13. Classical Statistical Mechanics Part 2

MIT 8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2013
Instructor: Mehran Kardar

This is the second of three lectures on Classical Statistical Mechanics.

License: Creative Commons BY-NC-SA

[G-gu]

Chapter 1: Introduction and Boltzmann Equation (0:00-4:59)
0:00-0:20 - MIT OpenCourseWare introduction and support request.
0:20-4:59 - Explanation of gas equilibrium using the Boltzmann equation, focusing on particle dynamics, probability density, linear and second order operators, and the evolution of gas properties.

Chapter 2: Collision Operator and Density Definition (5:00-10:05)
5:00-10:05 - Discussion on the collision operator in the Boltzmann equation, breaking symmetry between coordinates and momenta. Introduction of hydrodynamic equations for conserved quantities like number, momentum, and kinetic energy. Exploration of the implications for gas dynamics and equilibrium.

Chapter 3: Hydrodynamic Equations and Sound Modes (10:06-14:18)
10:06-14:18 - Analysis of hydrodynamic equations related to number conservation, momentum, and kinetic energy. Explanation of sound modes in gases, and the impact of the Boltzmann equation on understanding sound propagation and gas dynamics.

Chapter 4: Approximations and Corrections in Boltzmann Equation (14:19-17:12)
14:19-17:12 - Discussion of approximate solutions for the Boltzmann equation. Introduction of first and second order corrections, and their implications on understanding gas behavior and equilibrium.

Chapter 5: Relaxation and Equilibrium in Gases (17:13-20:29)
17:13-20:29 - Explanation of relaxation processes in gases, including velocity profiles and temperature gradients. Exploration of how gases reach equilibrium, influenced by collision dynamics and external forces.

Chapter 6: Statistical Mechanics Introduction (20:30-24:02)
20:30-24:02 - Introduction to statistical mechanics, focusing on equilibrium and microscopic properties of large systems. Discussion on probability and dynamics in phase space, leading to the concept of equilibrium in statistical mechanics.

Chapter 7: Microcanonical Ensemble and Thermodynamics (24:03-30:07)
24:03-30:07 - Explanation of the microcanonical ensemble in statistical mechanics. Link between probability, energy states, and thermodynamics. Discussion on entropy and its relationship with energy and volume in a system.

Chapter 8: Thermodynamic Laws from Statistical Mechanics (30:08-36:53)
30:08-36:53 - Derivation of thermodynamic laws from statistical mechanics principles. Explanation of energy exchange, entropy change, and equilibrium conditions in thermodynamic systems.

Chapter 9: Ideal Gas and Microstates (36:54-38:05)
36:54-38:05 - Application of statistical mechanics to ideal gas. Discussion on microstates, energy levels, and the probability of specific states in an ideal gas system.

Chapter 10: Macroscopic Parameters and Entropy (38:06-42:49)
38:06-42:49 - Exploration of macroscopic parameters in statistical mechanics. Discussion on the role of entropy in describing system states and equilibrium.

Chapter 11: Energy Exchange and System Equilibrium (42:50-48:06)
42:50-48:06 - Analysis of energy exchange between systems and the impact on system equilibrium. Introduction of the concept of empirical temperature and its relation to entropy.

Chapter 12: Work, Heat, and First Law of Thermodynamics (48:07-52:34)
48:07-52:34 - Examination of work and heat in thermodynamic systems. Derivation of the first law of thermodynamics from statistical mechanics principles.

Chapter 13: Second Law of Thermodynamics and Probability (52:35-57:02)
52:35-57:02 - Discussion on the second law of thermodynamics in the context of probability and state changes. Explanation of energy flows and system equilibrium.

Chapter 14: Third Law of Thermodynamics (57:03-1:00:02)
57:03-1:00:02 - Analysis of the third law of thermodynamics and its implications in statistical mechanics. Discussion on the limitations of current models in explaining the third law.

Chapter 15: Ideal Gas Revisited and Phase Space (1:00:03-1:22:29)
1:00:03-1:22:29 - Revisiting the ideal gas model in the context of phase space and microstates. Detailed explanation of the energy distribution and the calculation of microstates in an ideal gas system.

[YossiSirote]

Statistical mechanics starts at about 40:00. This is start of chapter 4 in book.

[混沌-py]

《粒子的统计力学（共26讲）》

== 第三章 气体动力学理论
00:00:00 一阶流体动力学 （续前 / 完）

== 第四章 经典统计力学 ==
00:38:05 一般定义
00:43:22 微正则系综
01:15:21 理想气体(未完待续)

[elamvaluthis]

How hard it is to explain but patiently done thank you sir.

[snehashbehera]

u ignored the right hand side not left hand side 15:18 ( i know it's not a big deal but just state it for the viewers...)