Phenomenological Free-Energy-Function, Fractal Dimension, and Critical Indices for Phase Transition Systems

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Communications in Theoretical Physics ›› 1991, Vol. 16 ›› Issue (3) : 273-280.

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Phenomenological Free-Energy-Function, Fractal Dimension, and Critical Indices for Phase Transition Systems

Lun-Biao XU, Zhi-Jian WANG

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Abstract

Considering the relations between interaction terms in microscopic Hamiltonian and φⁿ terms in macroscopic Landau's free-energy-function (FEF) of a phase transition system, we propose a modified Landau's phenomenological FEF to deal with critical phenomena.According to scaling symmetry, it ie indeed true tiat, the dimension of interaction space is fractal at critical points for a phase transition system. Following these analyses, we obtain all the critical indices reasonably classified in the classes denoted by n, whid satisfy all the scaling laws and coincide with experiments. A cogent example ie given.

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Lun-Biao XU, Zhi-Jian WANG. Phenomenological Free-Energy-Function, Fractal Dimension, and Critical Indices for Phase Transition Systems[J]. Communications in Theoretical Physics, 1991, 16(3): 273-280

References

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