Categories
Critical phenomena Equilibrium Statistical Physics

Thermodynamic Scaling Derived via Analytic Continuation from the Classification of Ehrenfest

R. Hilfer

Physica Scripta 44, 321 (1991)
10.1088/0031-8949/44/4/002

submitted on
Tuesday, April 2, 1991

Scaling of the free energy is derived from thermodynamic arguments. The free energy is found to obey a new generalized scaling form which contains standard scaling as a special case. Contrary to standard scaling the new scaling form permits also nonuniversal exponents. The results are obtained by analytic continuation from the classification scheme of Ehrenfest.



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