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Irreversibility in high-dimensional dynamical systems

Research Project

Project/Area Number 12834005
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research InstitutionThe University of Tokyo

Principal Investigator

SASA Shin-ichi  The University of Tokyo Graduate School of Arts and Sciences Associate Professor, 大学院・総合文化研究科, 助教授 (30235238)

Project Period (FY) 2000 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2000: ¥1,800,000 (Direct Cost: ¥1,800,000)
Keywordsentropy / chaos / non-equilibrium / 不可逆性
Research Abstract

1. We found that the extended Second Law holds for transitions between different steady states and that the Shannon entropy difference is equal to excess heat divided by the temperature obtained in infinitely slow processes, (paper published)
2. We numerically studied a billiard system with a time-dependent force, and our results show the existence of a limitation on possible transitions between steady states in Hamiltonian chaos, as previously suggested by our theory, (paper submitted)
3. We developed a phenomenological theory for steady nonequilibrium states in systems with heat conduction. We found that there is essentially a unique consistent thermodynamics, and make concrete predictions, I. E, the existence of a new osmotic pressure and a shift in the coexistence temperature. These predictions allow one to test for the quantitative validity of SST by comparing them with experiments, (paper submitted)
4. Through numerical simulations of the Kuramoto equation, which displays high-dimensional dissipative chaos, we found a quantity representing the cost for maintenance of a spatially non-uniform structure. That appears in the phase turbulence of chemical oscillatory waves, (paper submitted)

Report

(3 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • Research Products

    (3 results)

All Other

All Publications (3 results)

  • [Publications] T.Hatano, S.Sasa: "Steady state thermodynamics of Lungerin systems"Physical Review Letters. 86. 3463-3466 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Hatano and S. Sasa: "Steady state thermodynamics of Langevin systems"Phys. Rev. Lett.. 86. 3463-3466 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Hatano, S.Sasa: "Steady state thermodynamics of Langerin systems"Physical Review Letters. 86. 3463-3466 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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