File:Plot showing Maxwell-Juttner distribution (relativistic Maxwellian) for electron gas at different temperatures.svg
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Original file (SVG file, nominally 600 × 450 pixels, file size: 145 KB)
_for_electron_gas_at_different_temperatures.svg){kind=link}
Summary
| Description |
English: Created using CairoMakie.jl, SpecialFunctions.jl, and the Julia language |
| Date | |
| Source | Own work |
| Author | Hellacioussatyr |
Script used to create this plot:
using CairoMakie
using SpecialFunctions: besselk
# Installed versions:
# [13f3f980] CairoMakie v0.15.6
# [276daf66] SpecialFunctions v2.6.1
# nextfloat() because at γ=1, f=0 and that can't be plotted in log-space
γs = logrange(nextfloat(1.0), 10^4, length = 1000)
θs = Pair{Real,Symbol}[0.1 => :red, 1 => :green, 5 => :blue,
10 => :fuchsia, 50 => :orange, 100 => :black]
β(γ) = √(1 - 1/γ^2)
f(γ; θ) = (γ^2 * β(γ))/(θ * besselk(2, 1/θ)) * exp(-γ/θ)
fig = Figure()
ax = Axis(
fig[1,1];
title = "Maxwell–Jüttner Speed distribution for Relativistic Electron Gas",
xlabel = "γ", ylabel = "f(γ)",
xscale = log10, xticks = LogTicks(LinearTicks(8)),
yscale = log10, yticks = LogTicks(LinearTicks(6)),
xminorticks = IntervalsBetween(5), xminorticksvisible = true,
yminorticks = IntervalsBetween(4), yminorticksvisible = true,
)
for (θ, color) in θs
lines!(ax, γs, f.(γs; θ); label = string(θ), color)
end
axislegend(ax, "θ = kT/mₑc²";
framevisible = false, nbanks = 3, rowgap = 0, colgap = 8)
xlims!(ax, 0.9, 10^3.55)
ylims!(ax, 1e-11, 10)
save("Plot showing Maxwell-Juttner distribution (relativistic Maxwellian) for electron gas at different temperatures.svg", fig)
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
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.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:25, 3 November 2025 | | 600 × 450 (145 KB) | wikimediacommons>Hellacioussatyr | Uploaded own work with UploadWizard |
File usage
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_for_electron_gas_at_different_temperatures.svg){kind=link}