Proposed Model for Instability Simulations

round bunch in a round pipe: 1e11 protons
uniform electron cloud with density 1e12 m^-3
each bunch passage starts with a uniform cloud
chamber radius 2 cm
uniform transverse focusing for beam propagation
zero chromaticity, zero energy spread
no synchotron motion
energy 20 GeV
beta function 100 m
ring circumference 5 km
betatron tunes 26.19, 26.24
rms transverse beam sizes 2 mm (Gaussian profile)
rms bunch length 30 cm (Gaussian profile, truncated at +/- 2 sigma_z)
no magnetic field for electron motion
elastic reflection of electrons when they hit the wall

NEW: with open and/or conducting boundary conditions (please specify boundary assumed), with 1 and/or several interaction points per turn or continuous interaction (please specify) 

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result: plot of x&y emittances vs time