Jakub Otwinowski, Stefan Boettcher
Published 2009-02-13, updated 2009-05-09Version 2
A non-equilibrium particle transport model, the totally asymmetric exclusion process, is studied on a one-dimensional lattice with a hierarchy of fixed long-range connections. This model breaks the particle-hole symmetry observed on an ordinary one-dimensional lattice and results in a surprisingly simple phase diagram, without a maximum-current phase. Numerical simulations of the model with open boundary conditions reveal a number of dynamic features and suggest possible applications.
Comments: 10 pages, revtex4, reorganized, with some new analytical results. For related articles, see http://www.physics.emory.edu/faculty/boettcher/
Journal: Journal of Statistical Mechanics, P07010 (2009)
Spectral Degeneracies in the Totally Asymmetric Exclusion Process
Determinant solution for the Totally Asymmetric Exclusion Process with parallel update II. Ring geometry
Renyi entropy of the totally asymmetric exclusion process
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