Critical phenomena Equilibrium Statistical Physics

Thermodynamic Scaling Derived via Analytic Continuation from the Classification of Ehrenfest

R. Hilfer

Physica Scripta 44, 321 (1991)

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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