Abstract
We introduce a stochastic lattice gas model including two particle species and two parallellanes, one of which comprises exclusion interaction and directed motion while theother shows no exclusion interaction and unbiased diffusion, thus mimicking amicrotubule filament and the surrounding solution. At a high binding affinity to thefilament, jam-like situations dominate the system’s behaviour. We approximatedthe fundamental process of position exchange of two particles. In the case of amany-particle system, we were able to identify one regime in which the system is ratherhomogeneous with only small accumulations of particles and another regime in which asignificant fraction of all particles accumulate in the same cluster. Numerical dataindicate that this cluster formation will occur at all densities for large systemsizes. Coupling of several filaments leads to an increased cluster formation ascompared to the uncoupled system, suggesting that efficient bidirectional transport onone-dimensional filaments relies on long-ranged interactions and track formation.
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