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Generalized exclusion processes: Transport coefficients

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

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