One Dimensional Exclusion Process with Dynein Inspired Hops: Simulation and Mean Field Analysis

We introduce a one-dimensional non-equilibrium lattice gas model representing the processive motion of dynein molecular motors over microtubule. study both dynamical and stationary state properties for consisting hardcore particles hopping on with variable step sizes. find that gap-distribution exhibits striking peaks around gap sizes are multiples maximum size, open periodic boundary conditions. verified this feature using mean-field calculation. For conditions, we observe intriguing damped oscillator-like distribution periodicity equal to size. To characterize transient dynamics, measure mean square displacement shows weak superdiffusive growth exponent $$\gamma \approx 1.34$$ ballistic ( 2$$ ) conditions at early times. also effect Langmuir dynamics density profile.