Abstract:
Motivated by the significant effect of particle–particle interactions on the driven stochastic
transport system, we examine how interacting particles control the lattice polymerization and
depolymerization dynamics under the restricted supply of involved resources.We carried out
a theoretical analysis based on the simple mean-field and cluster mean-field theory to predict
the fundamental role of interactions on the steady-state length dynamics. It has been detected
that there is a strong correlation between the lattice length dynamics and the concentration
of the total number of lattice sites in the reservoir. For lower and higher values of available
resources, depolymerization and polymerization process dominates the lattice dynamics,
respectively, while for intermediate values of resources we observe a competition between
polymerization and depolymerization kinetics. Further, it is examined that for a specific
range of interaction energy E, the system remains in low density phase, on the contrary, for
its significantly higher value, the system transits to high-density phase. In contrast to the
high density phase, it is observed that in low density phase, lattice length decreases with an
increase in interaction strength. Finally, the theoretical outcomes are validated with extensive
Monte Carlo simulations.
