Definition:Entropy (Physics)

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