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日仏数学拠点FJ-LMIセミナー
過去の記録 ～05/09｜次回の予定｜今後の予定 05/10～
| 担当者 | 小林俊行, ミカエル ペブズナー |
|---|
2026年06月02日(火)
10:00-12:00 数理科学研究科棟(駒場) 号室
佐々田 槙子 氏 (東京大学大学院数理科学研究科)
TBA
佐々田 槙子 氏 (東京大学大学院数理科学研究科)
TBA
[ 講演概要 ]
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.
