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Derivation · draft

Boltzmann Distribution from a Heat Reservoir

Statement

Derives P(state) proportional to exp(-E/k_B T) for a system in contact with a large reservoir by expanding the reservoir entropy to first order in the system energy.

Depends on

Boltzmann Entropy from Microstate Counting, Temperature, Pressure and Chemical Potential from Entropy Maximization

Used by

PU-302/L06 PU-302/L28