Angular correlations between unidentified charged trigger particles and various species of charged associated particles (unidentified particles, pions, kaons, protons and antiprotons) are measured by the ALICE detector in p뻇b collisions at a nucleon뻨ucleon centre-of-mass energy of 5.02 TeV in the transverse-momentum range pT more than 0.3 GeV/C and less than 4 GeV/c. The correlations expressed as associated yield per trigger particle are obtained in the pseudorapidity range
ab
less than 0.8
ab
less than 0.8. Fourier coefficients are extracted from the long-range correlations projected onto the azimuthal angle difference and studied as a function of pTpT and in intervals of event multiplicity. In high-multiplicity events, the second-order coefficient for protons, v2p, is observed to be smaller than that for pions, v2 up to about pT=2 GeV/cpT=2 GeV/c. To reduce correlations due to jets, the per-trigger yield measured in low-multiplicity events is subtracted from that in high-multiplicity events. A two-ridge structure is obtained for all particle species. The Fourier decomposition of this structure shows that the second-order coefficients for pions and kaons are similar. The v2p is found to be smaller at low pTpT and larger at higher pTpT than v2 with a crossing occurring at about 2 GeV/c2 GeV/c. This is qualitatively similar to the elliptic-flow pattern observed in heavy-ion collisions. A mass ordering effect at low transverse momenta is consistent with expectations from hydrodynamic model calculations assuming a collectively expanding system.