Abstract
In reconstituting -mer models, extended objects that occupy several sites on a one-dimensional lattice undergo directed or undirected diffusion, and reconstitute—when in contact—by transferring a single monomer unit from one -mer to the other; the rates depend on the size of participating -mers. This polydispersed system has two conserved quantities, the number of -mers and the packing fraction. We provide a matrix product method to write the steady state of this model and to calculate the spatial correlation functions analytically. We show that for a constant reconstitution rate, the spatial correlation exhibits damped oscillations in some density regions separated, from other regions with exponential decay, by a disorder surface. In a specific limit, this constant-rate reconstitution model is equivalent to a single dimer model and exhibits a phase coexistence similar to the one observed earlier in totally asymmetric simple exclusion process on a ring with a defect.
- Received 17 May 2016
- Revised 22 June 2016
DOI:https://doi.org/10.1103/PhysRevE.94.012121
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