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Résumé |
In this talk, I will demonstrate how hydrodynamic equations can be used to study large-scale phenomena
in circuit systems (time-discrete versions of many-body systems). Specifically, I will focus on 1D classical
deterministic circuits, but the techniques can be applied to more general settings.
As opposed to generic systems where hydrodynamics can only be used as an effective description (i.e. the
parameters of hydrodynamic theory need to be fixed by experiments/numerics), for some circuit systems it
is possible to predict the hydrodynamic equations exactly. I will explain why this happens, and how we can
identify those models. I then demonstrate how to use hydrodynamics to analytically (and quantitatively)
predict nontrivial effects like the formation of shocks and KPZ super-diffusion.
Based on arxiv:2503.08788 |
