Study of macroscopic phenomenon in non-equilibrium many particle systems by Coarse Analysis

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K13535
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Nagoya University
• Principal Investigator: Sugiyama Yuki 名古屋大学, 情報学研究科, 教授 (20196778)
• Co-Investigator(Kenkyū-buntansha): 時田 恵一郎 名古屋大学, 情報学研究科, 教授 (00263195)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: non-equilibrium system / phase transition / asymmetric interaction / collective motions / traffic jam formation / self-organization / coase analysis / adaptation

Outline of Final Research Achievements

Our study provides the mathematical method for investigation of macroscopic phenomenon in non-equilibrium many particle systems by Coarse Analysis. The method drives the important macroscopic variables which govern the rule for the motions of many particles without the detailed knowledge of individual particle.
We investigate the jam formation on highway traffic using the method with diffusion map. The characteristic feature of the bi-stability of traffic jam is clearly described. Also, we study the optimal pattern formation of flows of particles in a maze, and investigate its stability using the Wasserstein metric space, which distinguish similarity of patterns.

Free Research Field

非平衡多体系の動力学