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FJ-LMI Seminar
Seminar information archive ～05/08｜Next seminar｜Future seminars 05/09～
| Organizer(s) | Toshiyuki Kobayashi, Michael Pevzner |
|---|
Next seminar
2026/06/02
10:00-12:00 Room # (Graduate School of Math. Sci. Bldg.)
Makiko SASADA (The University of Tokyo)
Scaling Limits of Interacting Particle Systems: From Gaussian Fields to KPZ Universality
Makiko SASADA (The University of Tokyo)
Scaling Limits of Interacting Particle Systems: From Gaussian Fields to KPZ Universality
[ Abstract ]
This talk explores the scaling limits of interacting particle systems with multiple conserved quantities. Starting from weakly asymmetric dynamics on a lattice, we characterize the evolution of fluctuation fields in the diffusive limit. We show how the interplay between different conserved modes leads to a transition from linear Gaussian fields to the KPZ (Kardar-Parisi-Zhang) universality class. Using the framework of Nonlinear Fluctuating Hydrodynamics, we discuss how the second-order nonlinearities in the macroscopic currents determine whether each mode exhibits diffusive or anomalous scaling. This talk is based on joint work with Hugo Da Cunha.
This talk explores the scaling limits of interacting particle systems with multiple conserved quantities. Starting from weakly asymmetric dynamics on a lattice, we characterize the evolution of fluctuation fields in the diffusive limit. We show how the interplay between different conserved modes leads to a transition from linear Gaussian fields to the KPZ (Kardar-Parisi-Zhang) universality class. Using the framework of Nonlinear Fluctuating Hydrodynamics, we discuss how the second-order nonlinearities in the macroscopic currents determine whether each mode exhibits diffusive or anomalous scaling. This talk is based on joint work with Hugo Da Cunha.
