Hydrodynamic Limit for the Symmetric Inclusion Process with Slowly Varying Inhomogeneities

Master thesis (2022)

Authors

A. Rissalah Electrical Engineering, Mathematics and Computer Science

Contributors

F.H.J. Redig Applied Probability - EEMCS (supervisor 1)
S. Floreani Applied Probability - EEMCS (supervisor 2)
Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright: © 2022 Abdellah Rissalah
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Published Date

29-08-2022

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

In this thesis we study an interacting particle system: the Symmetric Inclusion Process with slowly varying inhomogeneities (SIP(α)). In the SIP(α) particles display random walk like behaviour subjected to an attractive type of interaction whilst evolving in an inhomogeneous environment. We set out to prove its hydrodynamic limit. The main tool helping us for obtaining the hydrodynamic limit is the self-duality property of the process.