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2013 Fiscal Year Final Research Report

Development of an Operational Approach to Quantum Thermodynamics

Research Project

  • PDF
Project/Area Number 23540448
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionMie University

Principal Investigator

ABE Sumiyoshi  三重大学, 工学(系)研究科(研究院), 教授 (70184215)

Project Period (FY) 2011 – 2013
Keywords量子熱力学 / 正値演算子値測度
Research Abstract

The results obtained in this research project are classified into two categories. One was to clarify the physical properties of the quantum-mechanical analog of the Carnot cycle constructed based on the structural similarity/dissimilarity between quantum mechanics and thermodynamics. The other was to find a new case in which the Clausius inequality may be challenged, by describing thermodynamic processes in terms of non-unitary completely-positive quantum operations.

  • Research Products

    (17 results)

All 2014 2013 2012 2011

All Journal Article (13 results) (of which Peer Reviewed: 13 results) Presentation (3 results) (of which Invited: 3 results) Book (1 results)

  • [Journal Article] Completely-positive quantum operations generating thermostatistical states : Comparative study2014

    • Author(s)
      Y. Matsuo and S. Abe
    • Journal Title

      Physica A

      Volume: (掲載決定)

    • Peer Reviewed
  • [Journal Article] Fokker-Planck theory of nonequilibrium systems governed by hierarchical dynamics2014

    • Author(s)
      S. Abe
    • Journal Title

      Foundations of Physics

      Volume: Vol.44 Pages: 175-182

    • Peer Reviewed
  • [Journal Article] Variational principle for fractional kinetics and Lévy Ansatz2013

    • Author(s)
      S. Abe
    • Journal Title

      Physical Review E

      Volume: Vol.88 Pages: 022142

    • Peer Reviewed
  • [Journal Article] General formula for the efficiency of quantum-mechanical analog of the Carnot engine2013

    • Author(s)
      S. Abe
    • Journal Title

      Entropy

      Volume: Vol.15 Pages: 1408-1415

    • Peer Reviewed
  • [Journal Article] Dynamical evolution of the community structure of complex earthquake network2012

    • Author(s)
      S. Abe and N. Suzuki
    • Journal Title

      EPL

      Volume: Vol.99 Pages: 39001

    • Peer Reviewed
  • [Journal Article] Thermodynamic processes generated by a class of completely positive quantum operations2012

    • Author(s)
      S. Abe and Y. Aoyaghi
    • Journal Title

      International Journal of Modern Physics B

      Volume: Vol.26 Pages: 1241001

    • Peer Reviewed
  • [Journal Article] Aftershocks in Modern Perspectives : Complex Earthquake Network, Aging, and Non-Markovianity2012

    • Author(s)
      S. Abe and N. Suzuki
    • Journal Title

      Acta Geophysica

      Volume: Vol.60 Pages: 547-561

    • Peer Reviewed
  • [Journal Article] Universal law for waiting internal time in seismicity and its implication to earthquake network2012

    • Author(s)
      S. Abe and N. Suzuki
    • Journal Title

      EPL

      Volume: Vol.97 Pages: 49002

    • Peer Reviewed
  • [Journal Article] On the Geodesic Nature of Wegner's Flow2012

    • Author(s)
      Y. Itto and S. Abe
    • Journal Title

      Foundations of Physics

      Volume: Vol.42 Pages: 377-387

    • Peer Reviewed
  • [Journal Article] Role of the superposition principle for enhancing the efficiency of the quantum-mechanical Carnot engine2012

    • Author(s)
      S. Abe and S. Okuyama
    • Journal Title

      Physical Review E

      Volume: Vol.85 Pages: 011104

    • Peer Reviewed
  • [Journal Article] Necessary and Sufficient Condition for Stability of Generalized Expectation Value2011

    • Author(s)
      A. El Kaabouchi and S. Abe
    • Journal Title

      Journal of Applied Mathematics

      Pages: 804836

    • Peer Reviewed
  • [Journal Article] Gauge fields and geometric control of quantum-thermodynamic engine2011

    • Author(s)
      S. Abe
    • Journal Title

      Journal of Statistical Mechanics : Theory and Experiment

      Pages: 09011

    • Peer Reviewed
  • [Journal Article] Maximum-power quantummechanical Carnot engine2011

    • Author(s)
      S. Abe
    • Journal Title

      Physical Review E

      Volume: Vol.83 Pages: 041117

    • Peer Reviewed
  • [Presentation] Quantum-Mechanical Analog of the Carnot Cycle : General Formula for Efficiency and Maximum-Power Output2013

    • Author(s)
      S. Abe
    • Organizer
      The 12th Joint European Thermodynamics Conference
    • Place of Presentation
      Brescia, Italy
    • Year and Date
      20130701-05
    • Invited
  • [Presentation] Kinetic Theory of Superstatistics2012

    • Author(s)
      S. Abe
    • Organizer
      The 3rd International Workshop on Statistical Physics and Mathematics for Complex Systems
    • Place of Presentation
      Kazan, Russia
    • Year and Date
      20120825-30
    • Invited
  • [Presentation] Gauge-Theoretic Structure in Quantum Thermodynamics2011

    • Author(s)
      S. Abe
    • Organizer
      International Conference on Statistical Physics-SigmaPhi2011
    • Place of Presentation
      Larnaca, Cyprus
    • Year and Date
      20110711-15
    • Invited
  • [Book] Proceedings of "The 3rd International Workshop on Statistical Physics and Mathematics for Complex Systems", Journal of Physics : Conference Series Vol. 3942012

    • Author(s)
      D. Tayurskii, S. Abe, and Q. A. Wang 編著

URL: 

Published: 2015-07-16  

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