The Theoretical Minimum VI: Statistical Mechanics

Video Lectures

Displaying all 10 video lectures.
Lecture 1
Entropy and Conservation of Information
Play Video
Entropy and Conservation of Information
Leonard Susskind introduces statistical mechanics as one of the most universal disciplines in modern physics. He begins with a brief review of probability theory, and then presents the concepts of entropy and conservation of information. Recorded on: April 1, 2013.
Lecture 2
Temperature
Play Video
Temperature
Prof. Leonard Susskind presents the physics of temperature. Temperature is not a fundamental quantity, but is derived as the amount of energy required to add an incremental amount of entropy to a system. Recorded on: April 8, 2013
Lecture 3
Maximizing Entropy
Play Video
Maximizing Entropy
Prof. Leonard Susskind begins the derivation of the distribution of energy states that represents maximum entropy in a system at equilibrium. Recorded on April 15, 2013.
Lecture 4
The Boltzmann Distribution
Play Video
The Boltzmann Distribution
Prof. Leonard Susskind completes the derivation of the Boltzman distribution of states of a system. This distribution describes a system in equilibrium and with maximum entropy. Recorded on April 23, 2013.
Lecture 5
Pressure of an Ideal Gas and Fluctuations
Play Video
Pressure of an Ideal Gas and Fluctuations
Prof. Leonard Susskind presents the mathematical definition of pressure using the Helmholtz free energy, and then derives the famous equation of state for an ideal gas: pV = NkT. Recorded on April 29, 2013.
Lecture 6
Weakly-interacting Gases, Heat, and Work
Play Video
Weakly-interacting Gases, Heat, and Work
Prof. Leonard Susskind derives the equations for the energy and pressure of a gas of weakly interacting particles, and develops the concepts of heat and work which lead to the first law of thermodynamics. Recorded on May 6, 2013.
Lecture 7
Entropy vs. Reversibility
Play Video
Entropy vs. Reversibility
Prof. Leonard Susskind addresses the apparent contradiction between the reversibility of classical mechanics and the second law of thermodynamics, which states that entropy generally increases. This topic leads to a discussion of the foundation of chaos theory. Recorded on May 13, 2013.
Lecture 8
Entropy, reversibility, and magnetism
Play Video
Entropy, reversibility, and magnetism
Prof. Leonard Susskind continues the discussion of reversibility by calculating the small but finite probability that all molecules of a gas collect in one half of a room. He then introduces the statistical mechanics of magnetism. Recorded on May 20, 2013.
Lecture 9
The Ising model
Play Video
The Ising model
Prof. Leonard Susskind develops the Ising model of ferromagnetism to explain the mathematics of phase transitions. The one-dimensional Ising model does not exhibit phase transitions, but higher dimension models do. Recorded on May 27, 2013.
Lecture 10
Liquid-gas phase transition
Play Video
Liquid-gas phase transition
Professor Susskind continues the discussion of phase transitions beginning with a review of the Ising model and then introduces the physics of the liquid-gas phase transition. Recorded on June 3, 2013.