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Thermodynamics & Statistical Physics

Second Law of Thermodynamics

The law asserting that spontaneous physical processes increase total entropy in isolated systems, placing fundamental limits on heat engine efficiency.

Governing formula ΔS_total ≥ 0
SI unit J/K

In depth

Stated by Clausius (heat cannot spontaneously flow from cold to hot without work) and Kelvin-Planck (no heat engine can convert heat entirely into work without rejecting waste heat).

Examples in the real world

A drop of food coloring spreading irreversibly throughout a glass of water, never spontaneously recollecting into a single drop.