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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

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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

Comparison of occupation number <math>\langle n\rangle</math> over energy, for Bose-Einstein, Fermi-Dirac, and Maxwell-Botzmann statistics

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25 June 2024

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Date/TimeThumbnailDimensionsUserComment
current10:48, 25 June 2024Thumbnail for version as of 10:48, 25 June 20241,600 × 800 (100 KB)Aspir8yet bigger fonts
10:43, 25 June 2024Thumbnail for version as of 10:43, 25 June 20241,600 × 800 (94 KB)Aspir8bigger and better fonts
10:38, 25 June 2024Thumbnail for version as of 10:38, 25 June 20241,600 × 800 (88 KB)Aspir8black theme
10:20, 25 June 2024Thumbnail for version as of 10:20, 25 June 20241,600 × 800 (89 KB)Aspir8larger fonts
10:04, 25 June 2024Thumbnail for version as of 10:04, 25 June 20241,600 × 800 (86 KB)Aspir8Uploaded own work with UploadWizard

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