PlanetPhysics/Entropy

Introduction
Entropy has a long and rich histroy in physics and was developed by many scientists over the years including Clausius, Maxwell, Boltzmann, Planck, Gibbs, Pauling and more recently Shannon and Hawking.\, The applications of entropy are far and wide ranging from engines to black holes.\, The concept of entropy was introduced by the German R. J. E. Clausius in 1854.

Definition
The classical definition of entropy relates the differential change of entropy to the differential change in heat at a given temperature during a {\mathbf reversible process}:

$$ dS := \frac{dQ_{rev}}{T}; \quad S = \int\frac{dQ_{rev}}{T} $$

The belief that entropy is a measure of the disorder of the system is a misconception.

Examples
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