Tuesday, August 14, 2007

Critical point

Critical point (thermodynamics)
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In physical chemistry, thermodynamics, chemistry and condensed matter physics, a critical point, also called a critical state, specifies the conditions (temperature, pressure) at which the liquid state of the matter ceases to exist. As a liquid is heated, its density decreases while the pressure and density of the vapor being formed increases. The liquid and vapor densities become closer and closer to each other until the critical temperature is reached where the two densities are equal and the liquid-gas line or phase boundary disappears. Additionally, as the equilibrium between liquid and gas approaches the critical point, heat of vaporization approaches zero, becoming zero at and beyond the critical point. More generally, the critical point is the point of termination of a phase equilibrium curve, which separates two distinct phases. At this point, the phases are no longer distinguishable.


The critical point in a phase diagram is at the high-temperature extreme of the liquid-gas phase boundary.In the phase diagram shown, the phase boundary between liquid and gas does not continue indefinitely. Instead, it terminates at a point on the phase diagram called the critical point. This reflects the fact that, at extremely high temperatures and pressures, the liquid and gaseous phases become indistinguishable. In water, the critical point occurs at around 647 K (374 °C or 705 °F) and 22.064 MPa (3200 PSIA or 218atm).

Critical variables are useful for rewriting a varied equation of state into one that applies to all materials. The effect is similar to a normalizing constant.

According to renormalization group theory, the defining property of criticality is that the natural length scale characteristic of the structure of the physical system, the so-called correlation length ξ, becomes infinite. There are also lines in phase space along which this happens: these are critical lines.

In equilibrium systems the critical point is reached only by tuning a control parameter precisely. However, in some non-equilibrium systems the critical point is an attractor of the dynamics in a manner that is robust with respect to system parameters, a phenomenon referred to as self-organized criticality.

The critical point is described by a conformal field theory.


[edit] See also
Critical temperature
Phase transition
Scale invariance
Conformal field theory
Critical exponents
Percolation thresholds
Self-organized criticality
Triple point
Supercritical fluid, Supercritical drying, Supercritical water oxidation
Rushbrooke inequality
Widom scaling

[edit] External link
Critical points for some common solvents



[hide]v • d • eStates of Matter (list)
Solid • Liquid • Gas • Plasma • Supercritical fluid • Superfluid • Supersolid • Degenerate matter • Quark-gluon plasma • Fermionic condensate • Bose–Einstein condensate • Strange matter • Melting point • Boiling point • Triple point • Critical point • Equation of state • Cooling curve

Retrieved from "http://en.wikipedia.org/wiki/Critical_point_%28thermodynamics%29"
Categories: Phase changes | Statistical mechanics | Conformal field theory | Renormalization group | Condensed matter physics

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