Thermodynamics & Statistical Physics

The macroscopic state of a thermodynamic system defined by observable thermodynamic variables like pressure, volume, temperature, and total…

Defined by (P, V, T, N, U) N/A

A set of thermodynamic equations derived from equality of second partial derivatives of thermodynamic potentials (U, H, F, G).

(∂T/∂V)_S = -(∂P/∂S)_V, (∂T/∂P)_S = (∂V/∂S)_P, etc. Various

Thermodynamics & Statistical Physics

The probability distribution describing particle speeds in an ideal gas in thermal equilibrium.

f(v) = 4π (m / (2π kB T))^(3/2) v² exp(-m v² / (2 kB T)) s/m

Thermodynamics & Statistical Physics

The average distance traveled by a moving gas particle between successive collisions with other particles.

λ = 1 / (√2 π d² n_V) m

Thermodynamics & Statistical Physics

A specific detailed microscopic configuration of a thermodynamic system, specifying exact positions and momenta of all constituent…

S = kB ln Ω N/A

Thermodynamics & Statistical Physics

The heat energy required to raise the temperature of one mole of a substance by one Kelvin.

C_m = Q / (n ΔT), C_p - C_v = R J/(mol·K)

Thermodynamics & Statistical Physics

The particle speed corresponding to the maximum peak of the Maxwell-Boltzmann speed distribution curve.

v_mp = √(2 kB T / m) = √(2 R T / M) m/s