Generalized exclusion processes: Transport coefficients

Chikashi Arita (1) , P. L. Krapivsky (2) , Kirone Mallick (3)

1 Universität des Saarlandes [Saarbrücken]
2 Department of Physics [Boston]
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681

A class of generalized exclusion processes with symmetric nearest-neighbor hopping which are parametrized by the maximal occupancy, $k \geq 1$, is investigated. For these processes on hyper-cubic lattices we compute the diffusion coefficient in all spatial dimensions. In the extreme cases of $k = 1$ (symmetric simple exclusion process) and $k = \infty$ (non-interacting symmetric random walks) the diffusion coefficient is constant, while for $2 \leq k < \infty$ it depends on the density and $k$. We also study the evolution of the tagged particle, show that it exhibits a normal diffusive behavior in all dimensions, and probe numerically the coefficient of self-diffusion.

Domains: Statistical Mechanics [cond-mat.stat-mech]

Chikashi Arita, P. L. Krapivsky, Kirone Mallick. Generalized exclusion processes: Transport coefficients. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 90 (5), pp.052108. ⟨10.1103/PhysRevE.90.052108⟩. ⟨cea-02923661⟩