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Critical Point (mathematics), Critical Point
Critical point may refer to: *Critical phenomena in physics *Critical point (mathematics), in calculus, a point where a function's derivative is either zero or nonexistent *Critical point (set theory), an elementary embedding of a transitive class into another transitive class which is the smallest ordinal which is not mapped to itself *Critical point (thermodynamics), a temperature and pressure of a material beyond which there is no longer any difference between the liquid and gas phases *Quantum critical point *Critical point (network science) *Construction point, in skiing, a line that represents the steepest point on a hill See also *Critical value (other) *Critical path (other) *Brillouin zone *Percolation thresholds {{DEFAULTSORT:Critical Point Mathematics disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Critical Phenomena
In physics, critical phenomena is the collective name associated with the physics of critical points. Most of them stem from the divergence of the correlation length, but also the dynamics slows down. Critical phenomena include scaling relations among different quantities, power-law divergences of some quantities (such as the magnetic susceptibility in the ferromagnetic phase transition) described by critical exponents, universality, fractal behaviour, and ergodicity breaking. Critical phenomena take place in second order phase transitions, although not exclusively. The critical behavior is usually different from the mean-field approximation which is valid away from the phase transition, since the latter neglects correlations, which become increasingly important as the system approaches the critical point where the correlation length diverges. Many properties of the critical behavior of a system can be derived in the framework of the renormalization group. In order to expla ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |