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Thermodynamics & Statistical Physics

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Thermodynamics & Statistical Physics

Partition Function

The central mathematical function in statistical mechanics that encodes statistical properties of a system in thermodynamic equilibrium.

Z = ∑ exp(-E_i / (kB T)) = ∑ g_i exp(-E_i / (kB T)) Dimensionless
Thermodynamics & Statistical Physics

Principle of Mixtures

The heat conservation principle stating that in an isolated system, heat lost by hotter components equals heat gained by cooler components…

∑ Q = 0 ⇒ ∑ m_i c_i (T_f - T_i) = 0 J