How to create foggy objects to achieve the effect of temperature field

First of all, thank you. I haven’t used in the project ( soft particles) yet. Before that, I simply modified it to render random colors for each point and found some problems.
We can’t add more points. We have 200,000 points, or even as many as 700,000 points. The following images are 50 points, 100 points and 1000 points. I find that their color overlay is white, which is not what I want. You have a solution.

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