What is it about?
We propose a fractal modification of the phonon theory of liquids for both the quantum and classical regimes and obtain an expression for liquid energy and heat capacity using the fractal concept rather than the Debye model. In other words, we apply the fractal model used for solids to the phonon theory of liquids. Using the average values of the fracton dimension as a fitting parameter, we calculate the heat capacity as a function of temperature for liquid mercury to verify the proposed approach. Moreover, we show that the behavior of the fraction dimension for liquid mercury is similar to that of solids.
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Why is it important?
The fracton dimension is an intrinsic property of fractal structure and contains information about the internal structure of the substance. So, maybe, it may be used as one of the methods of analysis of the topology of the atomic structure of liquids.
Perspectives
The calculation of heat capacity has attracted the attention of many eminent physicists, for example, Einstein, Landau, Debye, and others. We are delighted to be involved in this valuable field and join this scientific adventure.
M.Y: Esmer
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This page is a summary of: A general fractal structure approach to the study of the thermodynamic properties of liquids and its applications, Physics of Fluids, September 2023, American Institute of Physics,
DOI: 10.1063/5.0171071.
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