Abstract

JIMENEZ OVIEDO, Byron  and  RAMIREZ JIMENEZ, Jeremías. Hydrostatic limit for the symmetric exclusion process with long jumps: supper-diffusive case. Rev. Mat [online]. 2021, vol.28, n.1, pp.79-94. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v28i1.36294.

Hydrostatic behavior for the one dimensional exclusion process with long jumps in contact with infinite reservoirs at different densities are derived. The jump rate is described by a transition probability p which is proportional to | · |−(γ+1) for 1 < γ < 2 (supper-diffusive case). The reservoirs add or remove particles with rate proportional to κ > 0.

Keywords : exclusion process with long jumps; super-diffusion; fractional Fick’s law..

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