WB-
Confidentiality agreements prevent showing a lot of the hard engineering covering race tires and vehicles. Even the stuff that's public domain can be very questionable at times (for example I don't necessarily believe the tire data in RCVD).
That said, a lot of rubber friction information is public domain. If you're interested in more, there are papers out there. Persson's work comes to mind.
Adhesion is one element, certainly.
Some people lump the rest together into a big "mechanical" category. Part of that is very small scale microtexture related.. which I generally think of as your standard dry friction. The rest is more of both how soft the rubber is compared the asphalt and how deep it can "sink its teeth" into it, and how hysteretic the rubber is and the generation of hysteresis friction.
Depending on the rubber and the track surface, different mechanisms play different role. On a super smooth surface adhesion would certainly be a bigger and more important component, than a really broken surface where you aren't getting that much engagement.
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