Equations · equation

Zeroth Law of Thermodynamics

Thermodynamics · 1935

Equation
A ⇄ C and B ⇄ C ⟹ A ⇄ B (⇄ : in thermal equilibrium)
Field
Thermodynamics
Named After
Ralph H. Fowler (naming)
Year
1935

Symbols

A, B, C any three systems · ⇄ in thermal equilibrium: put them in contact and no net heat flows · the transitivity of that relation, not of equality, is what lets a single number stand for it

Significance

If two systems each sit in equilibrium with a third, they are in equilibrium with each other — the quiet assumption that makes 'temperature' a well-defined number and thermometers meaningful. Written with equals signs it is a triviality about numbers; the content is that thermal equilibrium is transitive, which is what earns the right to write a temperature down in the first place. So foundational it was named zeroth, after the first and second were taken.

Related

Referenced by

equation

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From the Equations database in Notion, last edited 2026-08-26. This page is the row, rendered by the build; nothing on it is written by hand.