1D Landscapes
TestLandscapes.SymmetricDoubleWell — MethodSymmetricDoubleWell - The classic symmetric doublewell potential.
Fields
x- Position x
using Plots
using TestLandscapes
x = LinRange(-1.5, 1.5, 100)
plot(x, SymmetricDoubleWell.(x), label="Symmetric Doublewell")
xlabel!("x")
TestLandscapes.AsymmetricDoubleWell — MethodAsymmetricDoubleWell - An asymmetric double well potential requires |δ|< 1 for multiple minima.
Fields
x- Position x
Optional Fields
δ = 0.5- Asymmetry parameter
This is an asymetric doublewell potential, and the degree of asymmetry can be controlled through the δ argument (default is 0.5).
using Plots
using TestLandscapes
x = LinRange(-1.5, 1.5, 100)
plot(x, AsymmetricDoubleWell.(x), label="Asymmetric Doublewell, Default")
plot!(x, AsymmetricDoubleWell.(x, δ=-0.5), label="Asymmetric Doublewell, δ =-0.5")
xlabel!("x")
TestLandscapes.FatSkinnyDoubleWell10 — MethodFatSkinnyDoubleWell10 - The fat-skinny double well of degree 10. This introduces entropic effects in dimension 1.
Fields
x- Position x
This is a one dimensional problem that introduces, for a diffusion, an entropic bottleneck in the right well. The energy barrier is still of unit height. From Malsom and Pinski (2016).
using Plots
using TestLandscapes
x = LinRange(-.55, 2.6, 100)
plot(x, FatSkinnyDoubleWell10.(x), label="Fat Skinny Doublewell")
xlabel!("x")