The Clausius statement of the second law of thermodynamics states that it is impossible for heat to flow from a colder body to a hotter one without work being done. It implies that spontaneous heat transfer goes from hot to cold.
Entropy: A measure of disorder or randomness in a system, quantified by $S$, and central to understanding thermodynamic processes.
Second Law of Thermodynamics: A fundamental principle stating that total entropy can never decrease over time for an isolated system, implying irreversible processes.
Reversible Process: An idealized process where both the system and surroundings can be returned to their original states with no net change in entropy.