10 research outputs found
Quantum Scaling Approach to Nonequilibrium Models
Stochastic nonequilibrium exclusion models are treated using a real space
scaling approach. The method exploits the mapping between nonequilibrium and
quantum systems, and it is developed to accommodate conservation laws and
duality symmetries, yielding exact fixed points for a variety of exclusion
models. In addition, it is shown how the asymmetric simple exclusion process in
one dimension can be written in terms of a classical Hamiltonian in two
dimensions using a Suzuki-Trotter decomposition.Comment: 17 page