Transitions from a more ordered state of matter to a less ordered state exhibit an increase in entropy. For instance, when a solid melts into a liquid, or a liquid vaporizes into a gas, the constituent particles gain freedom of movement and occupy a larger volume. Sublimation, the direct transition from solid to gas, also reflects this principle. The change from a rigid, structured arrangement to a more dispersed, random one signifies higher entropy.
Understanding these transitions is fundamental to thermodynamics and numerous scientific disciplines. It helps predict the spontaneity of physical processes and underlies concepts like free energy. Historically, the concept of entropy has been crucial in developing engines and understanding chemical reactions. Its applications extend to diverse fields, from materials science to cosmology, offering insights into the behavior of systems across various scales.