# Definition:Entropy (Physics)

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## Definition

**Entropy** is a property of a thermodynamic system.

It quantifies the number $\Omega$ of microstates that are consistent with the macroscopic quantities that characterize the system.

The **entropy** of a system is equal to the expectation of the value:

- $k \ln P$

where:

- $k$ is a constant which relates the mean kinetic energy and absolute temperature of the system
- $P$ is the coefficient of probability of the system.

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## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next):**entropy**:**2.** - 1992: Frederick W. Byron, Jr. and Robert W. Fuller:
*Mathematics of Classical and Quantum Physics*... (previous) ... (next): Volume One: Chapter $1$ Vectors in Classical Physics: $1.1$ Geometric and Algebraic Definitions of a Vector