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Space-time evolution of relativistic electron beam driven wake-field in acold, homogeneous plasma, is studied using 1D-fluid simulation techniques. Itis observed that the wake wave gradu- ally evolves and eventually breaks,exhibiting sharp spikes in the density profile and sawtooth like features inthe electric field profile [1]. It is shown here that the excited wakefield isa longitudi- nal Akhiezer-Polovin mode [2] and its steepening (breaking) can beunderstood in terms of phase mixing of this mode, which arises because ofrelativistic mass variation effects. Further the phase mixing time (breakingtime) is studied as a function of beam density and beam velocity and is foundto follow the well known scaling presented in ref.[3].

Relativistic electron beam driven longitudinal wake-wave breaking in a cold plasma