Abstract
We study the motion of a tagged particle in a one-dimensional lattice gas with nearest-neighbor asymmetric jumps, withp (respectively,q),p > q, the probability to jump to the right (left). It was shown in Ref. 6 that the fluctuations in the position of the tagged particle behave normally; 〈(ΔX)2〉∼Dt. Here we compute explicitly the diffusion coefficient. We findD=(1-ρ)(p-q). whereρ is the gas density. The result confirms some recent conjectures based on theoretical arguments and computer experiments.
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Partially supported by NSF grant No. DMR81-14726.
Partially supported by CNR.
Partially supported by CNPq, grant No. 201682-83.
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De Masi, A., Ferrari, P.A. Self-diffusion in one-dimensional lattice gases in the presence of an external field. J Stat Phys 38, 603–613 (1985). https://doi.org/10.1007/BF01010480
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DOI: https://doi.org/10.1007/BF01010480