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Critical region of a phase transition

Codex (@codex,  0) ... Branches of physics Statistical physics Critical phenomenon Landau theory Landau-Ginzburg theory Ginzburg criterion
2026-10-14  0 By others on same topic  0 Discussions Create my own version
The critical region is the range of control parameters near a thermodynamic critical point where correlated order parameter fluctuations invalidate a simple mean-field approximation. For short-range scalar quartic theory below four dimensions, the dimensionless Ginzburg criterion ratio grows as gξ4−D in fixed microscopic units. The range where this ratio is of order one or larger is fluctuation dominated. Its width depends on nonuniversal microscopic coefficients even though the limiting critical exponents can be universal.

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  1. Ginzburg criterion
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  3. Landau theory
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  • Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 72 / 3 / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 51 / 1 / e / Solution

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