Thermodynamic Properties Of Strongly Degenerate Fermi Gas

In this project we have studied thermodynamic properties of strongly degenerate Fermirngases. Using the basic law of thermodynamic we derived Grand potential (rn), numberrnof fermions (N), Heat capacity (Cv), pressure (p), Energy (E), Entropy (S), Chemicalrnpotential (μ), Magnetization (M) as a functions of temperature (T) and magnetic fieldrn(H). We have also the concept of pauli paramagnetism and Landau diamagnetism inrndegenerate fermi gas (Electron gas). Generally, we can get the result from the derivedrnequation the plot of these parameters as temperature increase the grand potential isrnlarge negative. As temperature increases the chemical potential decreases, the pressurernincreases as the temperature increases, the pressure decreases as magnetic field increasesrnat low temperature. The total energy versus magnetic field graph shows that the energyrnincreases rapidly when magnetic field is less than 1500 T. The density of state hasrndiscontinuous behavior and has a real and positive value. We also observed that as therntotal energy, grand potential and pressure depend on density of states and thus showrnsimilar behavior.

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