# Are temperature increases discrete? [duplicate]

Are temperature increases ever discrete in nature, or is it a continuous variable?

If a discrete case exists, is there any material that exhibits particularly strange behavior?

## marked as duplicate by tpg2114♦, ACuriousMind♦, John Rennie, Brandon Enright, BMSAug 20 '14 at 16:11

Entropy S is $S = k_B\ln(\Gamma)$, where $\Gamma$ is the number of available quantum states,
$T = \frac{dE}{dS}$ , where E is the total kinetic energy of the system.