What is another term for air movement caused by differences in air pressure?

The answer is - wind.

Wind is the most commonly used term for air movement. It is created when there's two air pressures with different values, the air that has a higher pressure always moves towards the air that has lower pressure, thus creating air movement or wind. Depending on the difference in the air pressure between the two air masses we can have winds that are very strong, standard winds, or very slow winds. The bigger the difference between the air pressures the stronger the wind is, the smaller the difference in air pressures the slower the wind is.