Statistical mechanical study on classification, fluctuation and control in energy-related phenomena

2013 Fiscal Year Final Research Report

• Project/Area Number: 23740289
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Keio University (2012-2013); The University of Tokyo (2011)
• Principal Investigator: SAITO Keiji 慶應義塾大学, 理工学部, 准教授 (90312983)
• Project Period (FY): 2011 – 2013
• Keywords: 輸送現象 / 熱現象 / 非平衡基礎論

Research Abstract

In this study, we considered three problems. The first problem is to study on anomalous energy transport in low-dimensional systems, and the second one is on theoretical bound in heat-to-work conversion in thermoelectric transport in systems without time-reversal symmetry. The third one is a problem on non-equilibrium current fluctuation. In the first problem, we discussed anomalous transport with use of Levy walk model which is the typical mathematical model for discussing anomalous diffusion, and we succeeded in reproducing experimental findings. In the second problem, we showed that thermoelectric efficiency under magnetic fields can exceed the bound which is strictly holds for systems with time-reversal symmetry. In the third problem, we showed that Additivity principle, which was expected to hold, really exists in heat transport via specific systems.

Research Products

• [Journal Article] (2013)
  • Author(s): K. Brundner, Keiji Saito and U. Seifert
  • Journal Title: Phys. Rev. Lett Volume: vol.110 Pages: 070603
  • Peer Reviewed
• [Journal Article] (2013)
  • Author(s): A. Dhar, Keiji Saito and B. Derrida
  • Journal Title: Phys. Rev. E Volume: vol.87 Pages: 010103(R)
  • Peer Reviewed
• [Journal Article] (2012)
  • Author(s): A. Dhar, Keiji Saito and P. Hanggi
  • Journal Title: Phys. Rev. E Volume: vol.85 Pages: 011126
  • Peer Reviewed
• [Journal Article] 熱伝導と統計力学～異常輸送と拡散～ (2012)
  • Author(s): 齊藤圭司
  • Journal Title: 数理科学 Volume: 12月号 Pages: No.594
• [Journal Article] 非平衡系における相加性 (2012)
  • Author(s): 齊藤圭司
  • Journal Title: 物理学会誌 Volume: 第67巻第9号 Pages: 650
• [Journal Article] (2011)
  • Author(s): Keiji Saito, G. Benenti, G. Casati and T. Prosen
  • Journal Title: Phys. Rev. E Volume: vol.84 Pages: 201306(R)
  • Peer Reviewed
• [Journal Article] (2011)
  • Author(s): Keiji Saito and A. Dhar
  • Journal Title: Phys. Rev. E Volume: vol.83 Pages: 041121
  • Peer Reviewed
• [Journal Article] (2011)
  • Author(s): Keiji Saito and H. Tasaki
  • Journal Title: J. Stat. Phys Volume: vol.145 Pages: 1275
  • Peer Reviewed
• [Journal Article] (2011)
  • Author(s): S. Nakamura, Y. Yamauchi, M. Hashisaka, K. Chida, K. Kobayashi, T. Ono, R. Leturcq, K. Ensslin, Keiji Saito, Y. Utsumi, A. C. Gossard
  • Journal Title: Phys. Rev. B Volume: vol.83 Pages: 155431
  • Peer Reviewed
• [Journal Article] (2011)
  • Author(s): A. Dhar, O. Narayan, A. Kundu and Keiji Saito
  • Journal Title: Phys. Rev. E Volume: vol.83 Pages: 011101
  • Peer Reviewed
• [Journal Article] (2011)
  • Author(s): Keiji Saito and A. Dhar
  • Journal Title: Phys. Rev. Lett Volume: vol.107 Pages: 250601
  • Peer Reviewed
• [Journal Article] (2011)
  • Author(s): Keiji Saito, G. Benenti and G. Casati
  • Journal Title: Chem. Phys Volume: vol.375 Pages: 508
  • Peer Reviewed
• [Journal Article] (2011)
  • Author(s): G. Benenti, Keiji Saito and G. Casati
  • Journal Title: Phys. Rev. Lett Volume: vol.106 Pages: 23602
  • Peer Reviewed
• [Presentation] アハラノフ・ボームリングにおける非平衡揺らぎ関係 (2012)
  • Author(s): 西原禎孝,中村秀司,知田健作,荒川智紀,田中崇大,小野輝男,内海裕洋,齊藤圭司,R. LeturcqC,K. EnsslinD,小林研介
  • Organizer: 日本物理学会年次大会
  • Year and Date: 20120000
• [Presentation] 非平衡ゆらぎの統計力学的展開-熱輸送を中心に- (2012)
  • Author(s): 齊藤圭司
  • Organizer: 日本物理学会 秋季大会
  • Year and Date: 20120000
• [Remarks]
  • URL: http://www.phys.keio.ac.jp/faculty/ksaito/syousai/index-saito.html