International Journal on Science and Technology

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A study on the thermodynamic density of the Equation of State (EOS) and Lindemann’s melting law.

Author(s) Mr. NAND KISHOR, Prof. Dr. AMAR KUMAR
Country India
Abstract The study investigates the thermodynamic density behavior of materials through the Equation of State (EOS) and examines the applicability of Lindemann’s melting law in predicting melting phenomena. The EOS provides a fundamental relationship between pressure, volume, and temperature, serving as a key tool for understanding the thermodynamic properties of condensed matter systems under varying conditions. By analyzing different EOS models such as the Mie–Grüneisen and Birch–Murnaghan formulations the study explores how density and internal energy evolve with pressure and temperature. Furthermore, Lindemann’s melting criterion, which relates the melting temperature to atomic vibrations and interatomic spacing, is employed to establish a link between microscopic lattice dynamics and macroscopic melting behaviour[1]. The comparative analysis highlights the consistency and limitations of Lindemann’s law across different materials and thermodynamic conditions. The results contribute to a deeper understanding of phase stability, melting mechanisms, and the predictive capacity of EOS-based models in high-pressure and high-temperature regimes[2].
Keywords Thermodynamic density, Equation of State (EOS), Lindemann’s melting law, melting temperature, lattice vibrations, Mie–Grüneisen equation, Birch–Murnaghan EOS, phase stability, high-pressure physics, solid–liquid transition.
Field Physical Science
Published In Volume 16, Issue 4, October-December 2025
Published On 2025-12-20
DOI https://doi.org/10.71097/IJSAT.v16.i4.9890
Short DOI https://doi.org/hbgzgf
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