 94271 P. A. Ferrari, C. Kipnis
 Second class particles in the rarefaction fan
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Aug 5, 94

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Abstract. We consider the one dimensional totally asymmetric
nearest neighbors simple exclusion process with drift to the right starting
with the configuration ``all one'' to the left and ``all zero'' to the right
of the origin. We prove that a second class particle initially added at the
origin chooses randomly one of the characteristics with the uniform law on the
directions and then moves at constant speed along the chosen one. The result
extends to the case of a product initial distribution with densities
$\rho>\lambda$ to the left and right of the origin respectively. Furthermore we
show that, with a positive probability, two second class particles in the
rarefaction fan never meet.
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