File:Fermi-Dirac distribution.gif
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Original file (1,600 × 800 pixels, file size: 431 KB, MIME type: image/gif, looped, 76 frames, 7.6 s)
Note: Due to technical limitations, thumbnails of high resolution GIF images such as this one will not be animated.
Summary
| Description |
English: Varying temperature in Fermi-Dirac distribution for chemical potential 0.55eV |
| Date | |
| Source |
Own work based on: Fermi.gif:  |
| Author | Aspir8 |
Julia 1.10.4 code
This animation aims to provide a clearer view of the relevant function.
using CairoMakie
using LaTeXStrings
nfermi(ϵ,T) = 1/(exp((ϵ-μ)*eV/T/kB) + 1)
eV = 1.602176634e−19
kB = 1.380649e−23
μ = 0.55
ϵ = range(.45,.65, 1000)
T = Observable(50.)
y = @lift(nfermi.(ϵ,$T))
fig = Figure(size = (800, 400),fontsize=28,linewidth=3,fonts= (; regular = "CMU Serif",bold="CMU Serif"),)
ax = Axis(fig[1, 1], xlabel = L"Energy $\varepsilon$ [eV]",
ylabel = L"$F(\varepsilon)$",
xticks=LinearTicks(5),
yticks=[0,1],)
lines!(ax, ϵ, y, color = :dodgerblue)
band!(ax,ϵ,zero.(ϵ),y,color=(:dodgerblue,0.3))
ylims!(ax,0, 1.5)
xlims!(ax,extrema(ϵ)...)
hidedecorations!(ax,label=false,ticks=false,ticklabels=false)
text!(ax, .53, 1.15, text=@lift(latexstring("\$T = $(round($T,digits=1)) \\,\\text{K}\$")),halign=:center, valign=:center,fontsize=28)
fig
## animation
framerate = 10
t_iterator = exp.(range(log(2),log(375),38))
t_iterator = [t_iterator;reverse(t_iterator)]
record(fig, "nfermi.gif", t_iterator;
framerate = framerate) do t
T[]=t
end
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:22, 1 July 2024 | | 1,600 × 800 (431 KB) | wikimediacommons>Aspir8 | better labels |
File usage
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