Maximizing entropy

Statistical Mechanics (Spring, 2013)

April 15, 2013

After reviewing the laws of thermodynamics, Professor Susskind begins the derivation of how energy states are distributed for a complex system system with many energy states.

As the number of particles in a system grows, the distribution of states clumps more tightly around a mean. This is the Maxwell-Boltzmann distribution. The derivation requires Sterling's approximation and Lagrange multipliers.