Exact solution of asymmetric diffusion with N classes of particles of arbitrary size and hierarchical order
AUTOR(ES)
Alcaraz, F. C., Bariev, R. Z.
FONTE
Brazilian Journal of Physics
DATA DE PUBLICAÇÃO
2000-12
RESUMO
The exact solution of the asymmetric exclusion problem with N distinct classes of particles (c = 1, 2, ..., N), with hierarchical order is presented. In this model the particles (size 1) are located at lattice points, and diffuse with equal asymmetric rates, but particles in a class c do not distinguish those in the classes c' > c from holes (empty sites). We generalize and solve exactly this model by considering the molecules in each distinct class c = 1, 2, ..., N with sizes s c (s c = 0, 1, 2, ...), in units of the lattice spacing. The solution is derived via a Bethe ansatz of nested type.
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