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Article

Derivation of the Critical Point Scaling Hypothesis Using Thermodynamics Only

Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 Ciudad de México, Mexico
Entropy 2020, 22(5), 502; https://doi.org/10.3390/e22050502
Received: 9 March 2020 / Revised: 22 April 2020 / Accepted: 24 April 2020 / Published: 27 April 2020
(This article belongs to the Collection Foundations and Ubiquity of Classical Thermodynamics)
Based on the foundations of thermodynamics and the equilibrium conditions for the coexistence of two phases in a magnetic Ising-like system, we show, first, that there is a critical point where the isothermal susceptibility diverges and the specific heat may remain finite, and second, that near the critical point the entropy of the system, and therefore all free energies, do obey scaling. Although we limit ourselves to such a system, we elaborate about the possibilities of finding universality, as well as the precise values of the critical exponents using thermodynamics only. View Full-Text
Keywords: critical phenomena; scaling hypothesis; critical exponents critical phenomena; scaling hypothesis; critical exponents
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MDPI and ACS Style

Romero-Rochín, V. Derivation of the Critical Point Scaling Hypothesis Using Thermodynamics Only. Entropy 2020, 22, 502. https://doi.org/10.3390/e22050502

AMA Style

Romero-Rochín V. Derivation of the Critical Point Scaling Hypothesis Using Thermodynamics Only. Entropy. 2020; 22(5):502. https://doi.org/10.3390/e22050502

Chicago/Turabian Style

Romero-Rochín, Víctor. 2020. "Derivation of the Critical Point Scaling Hypothesis Using Thermodynamics Only" Entropy 22, no. 5: 502. https://doi.org/10.3390/e22050502

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