Logarithmic scaling in a density plot

Question

I think the colors will be more distinguishable with the logarithmic scales. How can I do it for the following plot? Thanx.

DensityPlot[(μ + η^2), 
    {μ, 0, 0.043}, {η, 0, 0.03}, 
FrameLabel -> {Style[μ, FontSize -> 14, Blue], 
Style[η, FontSize -> 14, Blue]}, 
BaseStyle -> {FontWeight -> Bold, FontSize -> 17}, 
ColorFunction -> "SunsetColors", 
PlotLegends -> 
BarLegend[Automatic, LegendMarkerSize -> 230, LegendMargins -> 5, 
LegendLabel -> Style["Q/(1+C)", FontSize -> 16], 
LabelStyle -> {Bold, FontSize -> 14}]]

Look at ScalingFunctions. You should be able to use ScalingFunctions -> {"Linear", "Linear", "Log"} — Lukas Lang, Jun 19 '18 at 21:58
@LukasLang: It is not possible. This command after adding the -> becomes red! — Perfect Fluid, Jun 19 '18 at 22:13
Probably - ScalingFunctions was updated in 11.0... If you're stuck with 10.4 this question should work for you though — Lukas Lang, Jun 20 '18 at 07:24
@LukasLang: Now I should change the boundaries where has been apeared in these density plots as region plots. How can I rescale the region plots? I ask this question here https://mathematica.stackexchange.com/questions/175664/is-it-possible-to-have-a-region-plot-with-logarithmic-scales — Perfect Fluid, Jun 20 '18 at 07:29
@m_goldberg: Dear friend, here the main problem was how to have a logarithmic scale for the third axis (the color!). I don't think this question is off-topic! — Perfect Fluid, Jun 26 '18 at 07:31
@corey979: OMG! Do you actually think that I mean the color?!!! The point was some kind of error that I didn't understand what to do! Yes, in the higher version it is Ok. — Perfect Fluid, Jun 26 '18 at 10:46
Yes: "It is not possible. This command after adding the -> becomes red!" Did you even run the code? If so, you would see this result. ScalingFunctions seem to be under-documented, and work properly in instances where the highlighting suggests that it's not valid. The same thing is with MaxExtraBandwidths for SmoothHistogram. Run the codes first; panic only if they don't work. — corey979, Jun 26 '18 at 12:25
@Lukas this seems like a duplicate of (36830) as you referenced. Do you disagree? — Mr.Wizard, Jun 26 '18 at 14:54
@Mr.Wizard I think so, yes - either that or "Can easily be found in the documentation" — Lukas Lang, Jun 26 '18 at 15:08

score 1 · Answer 1 · answered Jun 26 '18 at 14:48

Thanks for the comments. I upgrade my software to version 11.3 and the ScalingFunctions is available now. This command can scale the third axis (the color), and the figure will be more clear. It should be noted that, as @Lukas Lang said, I used ScalingFunctions -> {"Linear", "Linear", "Log"}.

Logarithmic scaling in a density plot

1 Answers1