Exact Solution of Asymmetric Diffusion With N Classes of Particles of Arbitrary Size and Hierarchical Order
Statistical Mechanics
2015-06-24 v1
Abstract
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 lattice spacing. The solution is derived by a Bethe ansatz of nested type.
Cite
@article{arxiv.cond-mat/0009157,
title = {Exact Solution of Asymmetric Diffusion With N Classes of Particles of Arbitrary Size and Hierarchical Order},
author = {F. C. Alcaraz and R. Z. Bariev},
journal= {arXiv preprint arXiv:cond-mat/0009157},
year = {2015}
}
Comments
27 pages, 1 figure