  The event-by-event p_T-fluctuations due to the temperature variation are
considered. The so-called Phi-measure is computed and shown to be a linear
function of the temperature variance. The fluctuations of temperature naturally
explain the data on Phi(p_T) in proton-proton and central Pb-Pb collisions but
independent measurements of the temperature fluctuations are needed to confirm
the explanation. Feasibility of such an event-by-event measurement is
discussed.
