File:Quantum and classical statistics.png

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Summary

DescriptionQuantum and classical statistics.png	English: Comparison of occupation number $\langle n\rangle$ over energy, for Bose-Einstein, Fermi-Dirac, and Maxwell-Botzmann statistics
Date	25 June 2024
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. CC0falsefalse

File history

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	Date/Time	Dimensions	User	Comment
current	10:48, 25 June 2024	1,600 × 800 (100 KB)	Aspir8	yet bigger fonts
	10:43, 25 June 2024	1,600 × 800 (94 KB)	Aspir8	bigger and better fonts
	10:38, 25 June 2024	1,600 × 800 (88 KB)	Aspir8	black theme
	10:20, 25 June 2024	1,600 × 800 (89 KB)	Aspir8	larger fonts
	10:04, 25 June 2024	1,600 × 800 (86 KB)	Aspir8	Uploaded own work with UploadWizard