The rate constant is a proportionality factor in the rate equation of a chemical reaction, reflecting how quickly a reaction proceeds under specific conditions. It is influenced by factors such as temperature and the presence of a catalyst, and its units vary depending on the order of the reaction.
Transition rate refers to the probability per unit time that a system in a given state will transition to another state. It is a crucial parameter in fields like quantum mechanics, population dynamics, and Markov processes, where it helps predict system evolution over time.