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We investigate pseudorapidity correlations of the average transverse flow ofparticles emitted in relativistic heavy-ion collisions. We employ 3+1dimensional viscous relativistic hydrodynamics with initial conditions from thequark Glauber Monte Carlo model to confront the recent measurements on thepseudorapidity correlations of the transverse momentum fluctuations in Pb+Pbcollisions at $\sqrt{s_{NN}}=2760$GeV. We find good agreement between the modelpredictions and data. Further, we study two other observables build with thecovariance of the average transverse momentum in different rapidity bins. Theseobservables have better stability under various systematics, thus allowing fora robust comparison between data and model. The transverse flow-transverse flowcorrelation coefficient is directly related to correlations of the underlyingcollective flow at different pseudorapidities. The 3-bin measure of $p_T$factorization breaking in pseudorapidity gives an estimate of possibledecorrelation of the average transverse flow in the longitudinal direction.

Pseudorapidity profile of transverse momentum fluctuations in heavy ion collisions