Abstract
Physically more transparent formulas for measuring event-by-event dynamical mean transverse momentum fluctuations ${\ensuremath{\sigma}}^{2}({M}_{{p}_{t},\mathrm{dyn}})$ are derived. It turns out that ${\ensuremath{\sigma}}^{2}({M}_{{p}_{t},\mathrm{dyn}})$ equals the dynamical fluctuations of the event total transverse momentum divided by the square of the average sample multiplicities. It is equivalent to the dynamical fluctuations of the event average transverse momentum ${\ensuremath{\sigma}}^{2}({M}_{{p}_{t}}){}_{\mathrm{dyn}}$ when multiplicity n is fixed and different from ${\ensuremath{\sigma}}^{2}({M}_{{p}_{t}}){}_{\mathrm{dyn}}$ when n varies from event to event. HIJING-1.382 simulations confirm the analytical results.
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