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Concept

Entropy

A measure of the number of microscopic arrangements consistent with a system’s macroscopic state.

Updated Nov 1, 2026 · 1 min read · 4 connections

Coined
Rudolf Clausius, 1865
Boltzmann formula
S = k log W
Unit
Joules per kelvin

In thermodynamics

The second law of thermodynamics states that the entropy of an isolated system does not decrease over time. This asymmetry is often linked to the direction of time.

Statistical and informational views

Ludwig Boltzmann connected entropy to counting microstates, the starting point of statistical mechanics. Shannon’s measure in information theory has the same mathematical form, a link made concrete by Maxwell’s demon.