Draw Fermi-Dirac Distribution function graph using Matlab show your steps
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The Fermi-Dirac distribution is given by f(E) = 1/(1 + exp((E-EF)/kT)), where E is energy, EF is the Fermi energy, k is Boltzmann's constant, and T is temperature. Show more…
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Draw and explain the Fermi-Dirac probability distribution for absolute zero and two positive temperatures.
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Write Fermi distribution function.
To obtain a more clearly defined picture of the Fermi-Dirac distribution, consider a system of 20 Fermi-Dirac particles sharing 94 units of energy. By drawing diagrams like Figure $\mathrm{P} 10.11,$ show that there are nine different microstates. Using Equation 10.2 calculate and plot the average number of particles in each energy level from 0 to $14 E$. Locate the Fermi energy at $0 \mathrm{K}$ on your plot from the fact that electrons at $0 \mathrm{K}$ fill all the levels consecutively up to the Fermi energy. (At $0 \mathrm{K}$ the system no longer has 94 units of energy, but has the minimum amount of 90E.) One of the nine equally probable microstates for 20 FD particles with a total energy of $94 E.$
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