Thermodynamic Properties of Strongly Degenerate Fermi Gas
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Date
2018-10-05
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Addis Ababa University
Abstract
In this project we have studied thermodynamic properties of strongly degenerate Fermi
gases. Using the basic law of thermodynamic we derived Grand potential (
), number
of fermions (N), Heat capacity (Cv), pressure (p), Energy (E), Entropy (S), Chemical
potential (μ), Magnetization (M) as a functions of temperature (T) and magnetic field
(H). We have also the concept of pauli paramagnetism and Landau diamagnetism in
degenerate fermi gas (Electron gas). Generally, we can get the result from the derived
equation the plot of these parameters as temperature increase the grand potential is
large negative. As temperature increases the chemical potential decreases, the pressure
increases as the temperature increases, the pressure decreases as magnetic field increases
at low temperature. The total energy versus magnetic field graph shows that the energy
increases rapidly when magnetic field is less than 1500 T. The density of state has
discontinuous behavior and has a real and positive value. We also observed that as the
total energy, grand potential and pressure depend on density of states and thus show
similar behavior.
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Keywords
Thermodynamic, Strongly, Degenerate Fermi, Gas