# Critical phenomena

physics of critical points

In physics, **critical phenomena** is the collective name associated with the physics of critical points.

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## Quotes edit

- 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.- Timothy Gowers; June Barrow-Green; Imre Leader (18 July 2010).
*The Princeton Companion to Mathematics*. Princeton University Press. p. 657. ISBN 1-4008-3039-7.

- Timothy Gowers; June Barrow-Green; Imre Leader (18 July 2010).
- [A]s a liquid changes into a gas at the critical temperature , the heat capacity diverges as . 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 or , but more subtle. Remarkably, the same exponent occurs for all gases. It also occurs in other systems, including a certain class of magnets. It's as if all knowledge of
**the microscopic physics has been washed away, leaving us with something pure, that carries only a vague memory of what lies underneath. This phenomenon is known as universality**... In our attempt to understand what happens as water boils, we will need to develop new tools and a new way of thinking about the world. This leads us to a paradigm which now underlies huge swathes of physics, far removed from its humble origin of a pot on a stove. This paradigm revolves around two deep facts about the Universe we inhabit: Nature is organised by symmetry. And Nature is organised by scale.