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Scale-dependent fluctuations near a continuous phase transition, characterized by a growing correlation length, scaling laws, and critical exponents. Mean-field descriptions fail when fluctuations become dominant.
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This is an authored directed relation from the source endpoint to the target endpoint.
Critical phenomena are the scale-invariant fluctuation behavior associated with continuous phase transitions near a critical point.
The target is a member or subtype of the broader source class.
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Renormalization-group flow explains scaling, relevant and irrelevant perturbations, and fixed-point behavior near continuous phase transitions; its conclusions depend on the selected degrees of freedom and coarse-graining scheme.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
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This is an authored directed relation from the source endpoint to the target endpoint.
Critical exponents and scaling functions classify long-distance critical behavior into universality classes that can ignore many microscopic details.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
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