Research on exactly solvable models for systems with nonequilibrium dynamics

• Project/Area Number: 26610033
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: The University of Tokyo
• Principal Investigator: KANAI Masahiro 東京大学, 大学院数理科学研究科, 特任研究員(上席) (40515821)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2016: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000); Fiscal Year 2015: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000); Fiscal Year 2014: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
• Keywords: 交通流 / 非平衡系 / マスター方程式

Outline of Final Research Achievements

We study exactly solvable models for systems with nonequilibrium dynamics introduced via the master equation. In equilibrium systems, there exists no flow of energy nor particles. By contrast, in nonequilibrium systems we find energy flow and/or particle flow which exists steadily. Now we have particular interest in traffic jam occurring in ordinary traffic flow systems.

Research Products

• [Journal Article] 時間遅れをもつ交通流モデルの離散化とその解について (2015)
  • Author(s): 松家敬介，金井政宏
  • Journal Title: 研究集会報告(26AO-S2)非線形波動研究の現状―課題と展望を探る― Volume: 26
  • Peer Reviewed
• [Journal Article] 交通流モデルによる歩行者の引き込み現象の解析 (2015)
  • Author(s): 金井政宏
  • Journal Title: 研究集会報告(26AO-S2)非線形波動研究の現状―課題と展望を探る― Volume: 26
  • Peer Reviewed
• [Journal Article] Realization of the Open-Boundary Totally Asymmetric Simple Exclusion Process on a Ring (2014)
  • Author(s): Masahiro Kanai
  • Journal Title: Journal of Statistical Physics Volume: 157 Issue: 2 Pages: 282-294
  • DOI: 10.1007/s10955-014-1089-5
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] 時間遅れをもつ交通流モデルの離散化及び超離散化 (2014)
  • Author(s): 松家敬介，金井政宏
  • Journal Title: 第20回交通流のシミュレーションシンポジウム論文集 Volume: 20
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Presentation] A Criterion for the Persistence of Cell Movement (2016)
  • Author(s): Masahiro Kanai
  • Organizer: The 14th Korea-Japan Joint Symposium on Vascular Biology
  • Place of Presentation: 長崎ブリックホール
  • Year and Date: 2016-12-08
  • Int'l Joint Research / Invited
• [Presentation] 時間遅れをもつ交通流モデルの離散化及び超離散化 (2014)
  • Author(s): 松家敬介，金井政宏
  • Organizer: 第20回交通流のシミュレーションシンポジウム
  • Place of Presentation: 名古屋大学
  • Year and Date: 2014-12-05
• [Presentation] 時間遅れをもつ交通流モデルの離散化とその解について (2014)
  • Author(s): 松家敬介，金井政宏
  • Organizer: 九州大学応用力学研究所共同利用研究集会「非線形波動研究の現状―課題と展望を探る―」
  • Place of Presentation: 九州大学応用力学研究所
  • Year and Date: 2014-11-01
• [Presentation] 交通流モデルによる歩行者の引き込み現象の解析 (2014)
  • Author(s): 金井政宏
  • Organizer: 九州大学応用力学研究所共同利用研究集会「非線形波動研究の現状―課題と展望を探る―」
  • Place of Presentation: 九州大学応用力学研究所
  • Year and Date: 2014-11-01
• [Remarks] http://arxiv.org/abs/1509.07861
  • URL: http://arxiv.org/abs/1509.07861