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Added eigenvals_ratio

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MoBit 2021-12-04 16:19:14 +01:00
parent dbbe3222bf
commit 79a7f84808
1 changed files with 11 additions and 7 deletions
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18
src/shape.jl
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@ -1,4 +1,5 @@
using StaticArrays: SVector, SMatrix using StaticArrays: SVector, SMatrix
using LinearAlgebra: eigvals, Hermitian
function project_to_unit_circle(x, l) function project_to_unit_circle(x, l)
φ = (x + l) * π / l φ = (x + l) * π / l
@ -24,15 +25,13 @@ function center_of_mass(args)
# No need for 1/N with atan # No need for 1/N with atan
# If proj is (0, 0) then COM is 0 or L or -L. Here, 0 is choosen with θ = π # If proj is (0, 0) then COM is 0 or L or -L. Here, 0 is choosen with θ = π
if (round(x_proj_sum[1]; digits=digits) == 0) && if round(x_proj_sum[1]; digits=digits) == round(x_proj_sum[2]; digits=digits) == 0
(round(x_proj_sum[2]; digits=digits) == 0)
x_θ = π x_θ = π
else else
x_θ = atan(x_proj_sum[2], x_proj_sum[1]) x_θ = atan(x_proj_sum[2], x_proj_sum[1])
end end
if (round(y_proj_sum[1]; digits=digits) == 0) && if round(y_proj_sum[1]; digits=digits) == round(y_proj_sum[2]; digits=digits) == 0
(round(y_proj_sum[2]; digits=digits) == 0)
y_θ = π y_θ = π
else else
y_θ = atan(y_proj_sum[2], y_proj_sum[1]) y_θ = atan(y_proj_sum[2], y_proj_sum[1])
@ -53,13 +52,18 @@ function gyration_tensor(args)
for p in args.particles for p in args.particles
c = p.c c = p.c
x = c[1] - COM[1] x = restrict_coordinate(c[1] - COM[1]; l=args.l)
y = c[2] - COM[2] y = restrict_coordinate(c[2] - COM[2]; l=args.l)
S11 += x^2 S11 += x^2
S12 += x * y S12 += x * y
S22 += y^2 S22 += y^2
end end
return SMatrix{2,2}(S11, S12, S12, S22) return Hermitian(SMatrix{2,2}(S11, S12, S12, S22))
end
function gyration_tensor_eigvals_ratio(args)
ev = eigvals(gyration_tensor(args)) # Eigenvalues are sorted
return ev[1] / ev[2]
end end