Jump to content

File:Quantum and classical statistics.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (1,600 × 800 pixels, file size: 100 KB, MIME type: image/png)

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:
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

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

Items portrayed in this file

depicts

25 June 2024

image/png

File history

Click on a date/time to view the file as it appeared at that time.

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

Global file usage

The following other wikis use this file: