Statistical Mechanics · graduate
Fluctuation-Response Relation
Equilibrium fluctuations determine linear response coefficients.
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Fluctuation-Response Relation
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Heat Capacity
In the canonical ensemble, energy fluctuations determine the heat capacity:
Susceptibility
More generally, the response of an observable to a conjugate field is related to the equilibrium variance of that observable. This is a central bridge between microscopic fluctuations and macroscopic measurements.
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Statistical Mechanics · Notes · undergrad
Canonical Ensemble
The equilibrium ensemble at fixed temperature, volume, and particle number.
Thermodynamics · Notes · undergrad
Heat Capacity
The response of internal energy or enthalpy to temperature change.
Statistical Mechanics · Notes · undergrad
Ising Model
A minimal lattice model for ferromagnetism and phase transitions.