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Exclusion process on an open lattice with fluctuating boundaries—II

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  • Narasimhan, S.L.
  • Baumgaertner, A.

Abstract

We have presented a mean-field analysis of a generalized exclusion process on an open lattice which indefinitely extends due to the exit of hard-rod particles of variable size. In addition to the exit-driven extension of the lattice, including the possibility of entry-driven shrinkage of the lattice ensures that the size of the lattice and the number of particles hopping through the lattice evolve towards their steady-state values. We demonstrate this for tetramers. We have numerically solved the Master Equation for the size of the lattice, equivalently for the number of particles in the system, and shown that their stationary values have similar qualitative trend as, but not quantitative agreement with, the simulation results as a function of the entry rate.

Suggested Citation

  • Narasimhan, S.L. & Baumgaertner, A., 2021. "Exclusion process on an open lattice with fluctuating boundaries—II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    • Handle: RePEc:eee:phsmap:v:565:y:2021:i:c:s0378437120308785
    DOI: 10.1016/j.physa.2020.125580
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