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The viscosity over entropy density ratio, or KSS number, can help isolate thecritical point in the hadron phase-diagram in Relativistic Heavy IonCollisions. We argue that this quantity does have a minimum at a phasetransition or crossover. Although indications from conventionalnon-relativistic gases point out to even a divergence in eta/s when thephase-transition is first-order, since the critical exponent is rather low,this will be more difficult to ascertain in RHIC or FAIR. The experimental dataare more likely to reveal a discontinuity for a first order phase transition ora smooth minimum at a crossover.

eta/s is critical (at phase transitions)