Finite-dimensional representation of the quadratic algebra of a generalized coagulation-decoagulation model

Details Finite-dimensional representation of the quadratic algebra of a generalized coagulation-decoagulation model Finite-dimensional representation of the quadratic algebra of a generalized coagulation-decoagulation model

2008-04-16

arxiv.org/abs/0804.2524v2

J. Phys. A: Math. Theor. 41 365001 (2008)

Physics

Condensed Matter

Statistical Mechanics

Minor revisions

Scientific paper

10.1088/1751-8113/41/36/365001

The steady-state of a generalized coagulation-decoagulation model on a one-dimensional lattice with reflecting boundaries is studied using a matrix-product approach. It is shown that the quadratic algebra of the model has a four-dimensional representation provided that some constraints on the microscopic reaction rates are fulfilled. The dynamics of a product shock measure with two shock fronts, generated by the Hamiltonian of this model, is also studied. It turns out that the shock fronts move on the lattice as two simple random walkers which repel each other provided that the same constraints on the microscopic reaction rates are satisfied.

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