File:Quantum and classical statistics.png

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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

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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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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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