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authorUrbain Vaes <urbain@vaes.uk>2023-09-23 20:50:58 +0200
committerUrbain Vaes <urbain@vaes.uk>2023-09-23 20:50:58 +0200
commitb2762ae56d12f13daec44f5f8bd5f1f16e36dbbc (patch)
tree6781167a8216be9aee5b1996b0f321b1dc598044 /figures.jl
parent1f3bf1f786f98095a21cd6b615ddec99c2a014da (diff)
Minor changes
Diffstat (limited to 'figures.jl')
-rw-r--r--figures.jl12
1 files changed, 9 insertions, 3 deletions
diff --git a/figures.jl b/figures.jl
index ed9b70f..f576d44 100644
--- a/figures.jl
+++ b/figures.jl
@@ -2,16 +2,22 @@ using Plots
using QuadGK
using LaTeXStrings
-V(x) = 1 - cos(x)
+Plots.default(fontfamily="Computer Modern",
+ titlefontsize=20,
+ xtickfontsize=12,
+ ytickfontsize=12,
+ legendfontsize=12)
+
+V(x) = 1/2 * (1 - cos(x))
η = .1
-# plot(title="Invariant distribution of perturbed OL")
+plot(title=L"Steady state $\rho_{\eta}$ with forcing")
plot(title="")
for η ∈ [0, .5, 1, 2]
ρ(q) = exp(-V(q)) * quadgk(y -> exp(V(q + y) - η*y), 0, 2π)[1]
Z = quadgk(ρ, - π, π)[1]
plot!(q -> ρ(q) / Z, -π, π, label=L"\eta = " * string(η), lw=2)
end
-plot!(xlims = (-π, π), grid=false, ylims=(0, .4), framestyle=:box)
+plot!(xlims = (-π, π), grid=false, framestyle=:box)
savefig("figures/invariant_perturbed_ol.pdf")