Scalar Field

Definition

A scalar field is a mathematical function that assigns only a scalar value (magnitude) to each point in space, without specifying any direction. It describes quantities like temperature or pressure.

Related terms

Vector Field:

In contrast to a scalar field, which only assigns magnitudes, a vector field assigns both magnitude and direction to each point in space.

Gradient: The gradient of a scalar field measures how rapidly the scalar quantity changes from one point to another.

Potential Energy:

Potential energy can be described using scalar fields. It represents stored energy that depends on position or configuration.