I am trying to plot the following equation with c
on y-axis and n
on x-axis for L~10^-61
and 'c~10^-61` (if required I can scale both of them down to manageable values):
-0.00003 = Binomial[n,2]*((1.37832*10^-7 Cos[(2 Sqrt[3] w ArcSinh[(c L)/(2 Sqrt[3])])/
c])/(L Sqrt[12 + c^2 L^2]))
I just can't seem to be able to get it done using Plot
or Plot3D
. Is there any particular trick here that I am missing? My n
is of the order 10^23
.
I did the following :
Plot3D[{F[1/1000, 10^-61, k, 100], -3*^-5*(Binomial[n, 2])^-1}, {n,
10^16, 10^17}, {k, 10^60, 10^61}, PlotPoints -> 100,
MaxRecursion -> 5, WorkingPrecision -> 110, AxesLabel -> Automatic,
PlotLegends -> "Expressions"]
I didn't get a nice 3DPlot
and also if I take order of n to be higher then nothing shows up on the plot. What does the spike there mean? Please help me understand this and obtain a nice plot in 2D of c
and n
.