# Statistical Physics (Fall 2020)

• Previous Offering: Fall 2019
• Timetable:
• Tuesday and Wednesday — 12:30 PM – 02:00 PM — Room: Announced soon
• Office hours will be communicated soon, via email.
• Another Note: Solutions of in-class quizzes and homeworks are not made public. If interested, instructors can ask for solutions by sending an email from their institutional email address.
• Lecture 1: Introduction
• Why do we study thermodynamics?
• Atomic Theory of Matter
• What is thermodynamics?
• Need for Statistical Approach
• Microscopic and Macroscopic Systems
• Classical and Statistical Thermodynamics
• Classical and Quantum Approaches
• Lecture 2: First Law of Thermodynamics-I
• Concept of Heat and Heat Capacity
• Concept of Energy
• Functions of State and Exact Differentials
• The First Law of Thermodynamics
• How adding heat can change the internal energy of a gas?
• Heat Capacity of an Ideal Monatomic Gas
• Practice Assignment: All examples and exercise problems of Chapter 11 from Blundell and Blundell
• Handouts
• Lecture 3: First Law of Thermodynamics-II
• Concept of Reversibility
• Quasistatic Phenomena
• Isothermal Expansion of an Ideal Gas
• Adiabatic Expansion of an Ideal Gas
• Practice Assignment: All examples and exercise problems 1, 2, 3, 4, 5 from Chapter 12 of Blundell and Blundell
• Handouts
• Lecture 4: Second Law of Thermodynamics
• Importance of Heat Engines in Thermodynamics
• Clausius Statement of Second Law of Thermodynamics
• Kelvin Statement of Second Law of Thermodynamics
• Carnot Engine
• Carnot’s Theorem
• Equivalence of Clausius’ and Kelvin’s Statements
• Practice Assignment: All examples and exercise problems 1, 2, 3, 4, 5, 6, 7, 8 from Chapter 13 of Blundell and Blundell
• Handouts
• Homework 1 (Due Date: November 16, 2020)
• Lecture 5: Entropy-I
• Clausius’ Theorem (This is included in the handouts of Lecture 4.)
• Introduction to Entropy
• Entropy in terms of a Irreversible Change
• Handouts
• Lecture 6: Entropy-II
• First Law of Thermodynamics and Entropy
• The Joule Expansion
• Change of Entropy in the Gas, Surroundings, and Universe during a Reversible Isothermal Expansion and Compression
• Practice Assignment: All examples and exercise problems 1, 2, 3, 4, 5, 6, 7 from Chapter 14 of Blundell and Blundell
• Handouts
• Lecture 7: Thermodynamic Potentials
• Internal Energy
• Enthalpy
• Helmholtz Free Energy
• Gibbs Free Energy
• Thermodynamic Square
• Handouts
• Lecture 8: Constraints on Thermodynamic Potentials
• Minimization of Availability (A)
• Minimization of Helmholtz Free Energy (F)
• Maximization of Entropy (S)
• Minimization of Gibbs Free Energy (G)
• Maxwell’s Relations
• Handouts
• Homework 2 (Due Date: December 1, 2020)
• Lecture 9: Introduction to Probability
• Idea of Probability
• Discrete and Continuous Probability Distributions
• Variance
• Standard Deviation
• Linear Transformation of Random Variables
• Independent Variables
• Handouts
• Lecture 10: Random Walk Problem
• Random Walk Problem in 1 and 2 Dimensions
• Why random walk problem is important?
• Total Number of Possibilities for N Objects
• Number of Distinct Ways to accommodate N Indistinguishable Objects in M Places (N = M)
• Binomial Distribution
• Bernoulli’s Trial
• Handouts
• Lecture 11: Law of Large Numbers
• Lecture 12: Statistical Interpretation of Temperature
• Lecture 13: Ensembles
• Lecture 14: Boltzmann Distribution of Velocities
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