Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice

Abstract

We show that an inhomogeneous coagulation/decoagulation model can be mapped to a quadratic fermionic model via a Jordan-Wigner transformation. The spectrum for this inhomogeneous model is computed exactly and the spectral gap is described for some examples. We construct our inhomogeneous model from two different homogeneous models joined by one special bond (impurity). The homogeneous models we started with are the coagulation/decoagulation models studied previously using the Jordan-Wigner transformation.

References in corpus (5)

• Inhomogeneous exclusion processes with extended objects: The effect of defect locations
• Quantum spins on star graphs and the Kondo model
• Phase diagram and edge effects in the ASEP with bottlenecks
• Transport on a Lattice with Dynamical Defects
• Defect-induced phase transition in the asymmetric simple exclusion process