Numerical investigation of the quasi-particles of metals with specific thermodynamic properties at elevated temperatures

Abstract

The application of the Landau theory of Fermi Liquids to certain thermodynamic properties, like the specific heat of quasi-particles in metals, was investigated in this study. The FORTRAN compiler was used to scientifically coordinate the generation of values of specific heat by writing programs for each thermodynamic property as a function of electron density parameter, temperature, Boltzmann’s constant, and effective mass of the quasi-particle. The results indicate that as the temperature of metals increases, the specific heat of quasi-particles also increases, and the electron density parameter increases for all metals. This suggests that at low densities, the specific heat of quasi-particles is large and there is a large separation between them. Additionally, the ability to absorb heat decreases as the temperature of the quasi-particles increases. The specific heat of quasi-particles calculated in this paper differs greatly from Landau's observations, indicating that the inclusion of the electron density parameter plays a role in the generation of quasi-particles and the observed specific heat of metals. The computed specific heat is close to Laudau’s specific heat but far from the observed specific heat. This research examines the interaction of landau quasi-particles in the overall characteristics of metals and evaluates the reliability of the model used. The results of the calculated specific heat and the actual specific heat demonstrate variations with the model underestimating the specific heat at observed temperatures and higher temperatures.