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Paper IPM / P / 9478  


Abstract:  
By considering the master equation of the totally asymmetric exclusion
process on a onedimensional lattice and using two types of boundary conditions
(i.e. interactions), two new families of the multispecies reactiondiffusion
processes, with particledependent hopping rates, are investigated.
In these models (i.e. reactiondiffusion and droppush systems),
we have the case of distinct particles where each particle A has its own
intrinsic hopping rate v. They also contain the parameters that control
the annihilationdiffusion rates (including pairannihilation and coagulation
to the right and left). We obtain two distinct new models. It is shown
that these models are exactly solvable in the sense of the Bethe anstaz.
The twoparticle conditional probabilities and the largetime behavior of
such systems are also calculated.
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