title: Phase coexistence and spatial correlations in reconstituting k-mer models.
abstract: In reconstituting k-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 k-mer to the other; the rates depend on the size of participating k-mers. This polydispersed system has two conserved quantities, the number of k-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.
authors: Condensed Matter Physics Division, Saha Institute of Nuclear Physics,1/AF Bidhan Nagar, Kolkata 700064, India.
authors: Amit Kumar
authors: AK
authors: Chatterjee
authors: Condensed Matter Physics Division, Saha Institute of Nuclear Physics,1/AF Bidhan Nagar, Kolkata 700064, India.
authors: Bijoy
authors: B
authors: Daga
authors: Condensed Matter Physics Division, Saha Institute of Nuclear Physics,1/AF Bidhan Nagar, Kolkata 700064, India.
authors: P K
authors: PK
authors: Mohanty