I have a CRAZY theory:
As the chip gets hotter, it's resistivity increases, so, the flow of electrical current (intensity) at the same voltage would be lower, hence, bringing less electrons to the chip.
If the chip is working @ 580Mhz maybe it exceeds the tolerance given by the chip, so @ 555 the micro hasn't reached that wall, cuz it stills have room to increase speed and electrons get to the chip quickly enough to function normally, not in the 580 mhz case in wich they would arrive too late
Equations that support my theory:
1) Fr=Ir[1+kDt] (dun remember if it was + or -
)
where:
fr= final resistivity
ir= initial resistivity
k= temp constant for the specific material
Dt= differential of temperature
2) R=V/I
where:
R= resistivity
V= voltage
I= intensity
3)I=q/t
where:
I= intensity
q= charge (an electron's charge is about 1.6x10e-19 coul)
t= time
Well, it doesn't seem so crazy at all!xD