phenomenon 123.4 The exponent inequalities are satisfied as equalities

open in the book · parts/12-statistical-mechanics/06-phase-transitions-critical.tex:354 · p. 2647

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

proves derived proof ch:06-phase-transitions-critical@proof-3 ¶

Supports

depends_on theorem 108.32 Kadanoff scaling and the exponent relations ¶
- depends_on corollary 108.44 Universality ¶
  - depends_on phenomenon 108.49 A critical exponent, and a disagreement ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`cites`	→	The theory of equilibrium critical phenomena	derived	parts/12-statistical-mechanics/06-phase-transitions-critical.tex:362
`cites`	→	Thermodynamic Inequality Near the Critical Point for Ferromagnets and Fluids	derived	parts/12-statistical-mechanics/06-phase-transitions-critical.tex:359
`cites`	→	On the Thermodynamics of the Critical Region for the Ising Problem	derived	parts/12-statistical-mechanics/06-phase-transitions-critical.tex:358
`cites`	→	Thermodynamic Behavior of Fluids Near the Critical Point	derived	parts/12-statistical-mechanics/06-phase-transitions-critical.tex:362
`depends_on`	←	Kadanoff scaling and the exponent relations	declared	parts/11-qft-standard-model/10-renormalization-group.tex:1135
`proves`	←	ch:06-phase-transitions-critical@proof-3	derived	parts/12-statistical-mechanics/06-phase-transitions-critical.tex:368