File:Quantum and classical statistics.png
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This is a file from the Wikimedia Commons. The description on its description page there is shown below.
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Summary
| Description |
English: Comparison of occupation number over energy, for Bose-Einstein, Fermi-Dirac, and Maxwell-Botzmann statistics |
| Date | |
| Source | Own work |
| Author | Ashton Bradley Aspir8 (talk) |
This work is derivate of [https://commons.wikimedia.org/wiki/File:Fermi-Dirac_Bose-Einstein_Maxwell-Boltzmann_statistics.svg , and aims to make fonts more visible at the size commonly used.
Julia 10.0.4 code
using GLMakie
nbose(x) = x > 0 ? 1 / (exp(x) - 1) : NaN
nfermi(x) = 1 / (exp(x) + 1)
nmb(x) = exp(-x)
ϵ = range(-5, 5, 1000)
fig = Figure(size = (800, 400),fontsize=28,linewidth=4,fonts= (; regular = "CMU Serif",bold="CMU Serif"),)
ax = Axis(fig[1, 1], xlabel =L"(\epsilon-\mu)/k_BT",ylabel = L"\langle n\rangle",
xticks=LinearTicks(5),
yticks=[0,1,2],)
lines!(ax, ϵ, nbose.(ϵ), color = :red,label="Bose-Einstein")
lines!(ax, ϵ, nmb.(ϵ), color = :mediumseagreen,label="Maxwell-Boltzmann")
lines!(ax, ϵ, nfermi.(ϵ), color = :dodgerblue,label="Fermi-Dirac")
ylims!(ax,0, 2.5)
xlims!(ax,extrema(ϵ)...)
axislegend(ax,framevisible=false)
hidedecorations!(ax,label=false,ticks=false,ticklabels=false)
fig
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
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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
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| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 02:18, 2 November 2025 | 1,200 × 600 (59 KB) | Aspir8 | background opacity |
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