Critical phenomena

"The mathematical theory of critical phenomena is currently undergoing intense development. Intertwined with the science of phase transitions, it draws on ideas from probability theory and statistical physics."

"[A]s a liquid changes into a gas at the critical temperature T_c, the heat capacity diverges as c \sim \frac{1}{\left|T-T_c\right|^{0.11008 \ldots}}. The exponent is not known precisely. It is thought not to be a rational number, but should instead be viewed as a universal mathematical constant, similar to \pi"