Definition:Scalar Field (Physics)

This page is about Scalar Field in the context of Physics. For other uses, see Scalar Field.

Definition

Let $F$ be a field which acts on a region of space $S$.

Let the point-function giving rise to $F$ be a scalar quantity.

Then $F$ is a scalar field.

Examples

Temperature Distribution

The distribution of temperature throughout a body is an example of a scalar field.

Density

The density of a body is an example of a scalar field.

Electric Potential

The electric potential within a region of space is an example of a scalar field.