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Coupling and Hydrodynamic Limit for the Inclusion Process

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Abstract

We show propagation of local equilibrium for the symmetric inclusion process (SIP) after diffusive rescaling of space and time, as well as the local equilibrium property of the non-equilibrium steady state in the boundary driven SIP. The main tool is self-duality and a coupling between \(n\) SIP particles and \(n\) independent random walkers.

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Authors and Affiliations

  1. Delft Institute of Applied Mathematics, Technische Universiteit Delft, Mekelweg 4, 2628 CD, Delft, The Netherlands

    Alex Opoku & Frank Redig

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  1. Alex Opoku
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  2. Frank Redig
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Correspondence to Alex Opoku.

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Opoku, A., Redig, F. Coupling and Hydrodynamic Limit for the Inclusion Process. J Stat Phys 160, 532–547 (2015). https://doi.org/10.1007/s10955-015-1277-y

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  • DOI: https://doi.org/10.1007/s10955-015-1277-y

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