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Observations suggest that in normal period radio pulsars, coherent curvatureradiation is excited within 10$\%$ of the light cylinder. The coherence isattributed to Langmuir mode instability in a relativistically streamingone-dimensional plasma flow along the open magnetic field lines. In this work,we use a hot plasma treatment to solve the hydrodynamic dispersion relation ofLangmuir mode for realistic pulsar parameters. The solution involves threescenarios of two-stream instability viz., driven by high energy beams, due tolongitudinal drift that leads to a separation of electron-positron distributionfunctions in the secondary plasma and due to cloud-cloud interaction causingspatial overlap of two successive secondary plasma clouds. We find thatsufficient amplification can be obtained only for the latter two scenarios. Ouranalysis shows that longitudinal drift is characterized by high growth ratesonly for certain multi-polar surface field geometry. For these configurations,very high growth rates are obtained starting from a few tens of km from theneutron star surface, which then falls monotonically with increasing distance.For cloud-cloud overlap, growth rates become high starting only after a fewhundred km from the surface, which first increases and then decreases withincreasing distance. A spatial window of up to around a 1000 km above theneutron star surface has been found where large amplitude Langmuir waves can beexcited while the pair plasma is dense enough to account for high brightnesstemperature.

Pulsar radio emission mechanism I : On the amplification of Langmuir waves in the linear regime