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An anti-symmetric exclusion process for two particles on an infinite 1D lattice
anti-symmetric exclusion process infinite 1D lattice Biological Physics
2011/9/1
Abstract: A system of two biased, mutually exclusive random walkers on an infinite 1D lattice is studied whereby the intrinsic bias of one particle is equal and opposite to that of the other. The prop...
An anti-symmetric exclusion process for two particles on an infinite 1D lattice
anti-symmetric exclusion process two particles infinite 1D lattice
2011/8/16
Abstract: A system of two biased, mutually exclusive random walkers on an infinite 1D lattice is studied whereby the intrinsic bias of one particle is equal and opposite to that of the other. The prop...
Bethe Ansatz for the Weakly Asymmetric Simple Exclusion Process and phase transition in the current distribution
Weakly Asymmetric Simple Exclusion Process phase transition current distribution
2010/11/23
The probability distribution of the current in the asymmetric simple exclusion process is expected to undergo a phase transition in the regime of weak asymmetry of the jumping rates. This transition w...
Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries
Inter-particle gap distribution spectral rigidity totally asymmetric simple exclusion process open boundaries
2010/11/10
We consider the one-dimensional totally asymmetric simple exclusion model (TASEP model) with open boundary conditions and present the analytical computations leading to the exact formula for distance...
Multi-Species Asymmetric Exclusion Process in Ordered Sequential Update
Ordered Sequential Update asymmetric simple exclusion process Matrix Product Ansatz
2010/4/15
A multi-species generalization of the asymmetric simple exclusion process (ASEP) is studied in ordered sequential and sub-lattice parallel updating schemes. In this model, particles hop with their own...