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Phase coexistence and spatial correlations in reconstituting k-mer models.

Amit Kumar Chatterjee1, Bijoy Daga1, P K Mohanty1

  • 1Condensed Matter Physics Division, Saha Institute of Nuclear Physics,1/AF Bidhan Nagar, Kolkata 700064, India.

Physical Review. E
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Summary

This study models k-mer reconstitution on a lattice, revealing spatial correlations with damped oscillations and exponential decay. A specific limit shows phase coexistence, similar to other lattice models.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Polymer Physics

Background:

  • K-mer models describe systems of interacting extended objects on lattices.
  • Understanding reconstitution dynamics and spatial correlations is crucial for these systems.

Purpose of the Study:

  • To develop an analytical method for calculating steady-state properties of a reconstituting k-mer model.
  • To investigate the spatial correlation functions and phase behavior of this polydispersed system.

Main Methods:

  • Matrix product method to determine the steady state.
  • Analytical calculation of spatial correlation functions.
  • Analysis of a specific limit equivalent to a single dimer model.

Main Results:

  • The system exhibits conserved quantities: k-mer number and packing fraction.
  • Spatial correlations show damped oscillations and exponential decay, separated by a disorder surface.
  • A specific model limit demonstrates phase coexistence, analogous to excluded process models.

Conclusions:

  • The matrix product method provides an effective analytical tool for k-mer reconstitution models.
  • The observed spatial correlation patterns and phase behavior offer insights into complex lattice systems.