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## Rushbrooke inequalityIn statistical mechanics, the ## Additional recommended knowledgeSince the Helmholtz free energy is extensive, the normalization to free energy per site is given as The magnetization where σ and ## DefinitionsThe critical exponents α,α',β,γ,γ' and δ are defined in terms of the behaviour of the order parameters and response functions near the critical point as follows
where measures the temperature relative to the critical point. ## DerivationFor the magnetic analogue of the Maxwell relations for the response functions, the relation follows, and with thermodynamic stability requiring that , one has which, under the conditions which gives the Remarkably, in experiment and in exactly solved models, the inequality actually holds as an equality. |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Rushbrooke_inequality". A list of authors is available in Wikipedia. |