File:Fermi-Dirac distribution.gif

Original file (1,600 × 800 pixels, file size: 431 KB, MIME type: image/gif, looped, 76 frames, 7.6 s)

Summary

Description
English: Varying temperature in Fermi-Dirac distribution for chemical potential 0.55eV
Date
Source Own work
Author Aspir8

This animation is heavily inspired by

Fermi

and aims to provide a clearer view of the relevant function.

Julia 10.0.4 code

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:
Creative Commons CC-Zero 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.

Captions

Varying temperature in Fermi-Dirac distribution for chemical potential 0.55eV

Items portrayed in this file

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1 July 2024

image/gif

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Date/TimeThumbnailDimensionsUserComment
current10:22, 1 July 2024Thumbnail for version as of 10:22, 1 July 20241,600 × 800 (431 KB)Aspir8better labels
10:14, 1 July 2024Thumbnail for version as of 10:14, 1 July 20241,600 × 800 (433 KB)Aspir8labels more relevant to article
10:02, 1 July 2024Thumbnail for version as of 10:02, 1 July 20241,600 × 800 (429 KB)Aspir8smaller
09:52, 1 July 2024Thumbnail for version as of 09:52, 1 July 20241,600 × 800 (651 KB)Aspir8Uploaded own work with UploadWizard

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