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Nonequilibrium thermodynamics of multicomponent fluids

Research Project

Project/Area Number 09640458
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
Research InstitutionInternational Christian University (1998)
Tokyo Institute of Technology (1997)

Principal Investigator

KITAHARA Kazuo  Division of Natural Science, International Christian University, Professor, 教養学部, 教授 (20107692)

Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1998: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1997: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsNonequilibrium thermodynamics / Reaction-diffusion system / Multicomponent fluid / Nonequilibrium statistical mechanics / Linear response / Local equlibrium / Nonequilibrium open system / Fluctuation / 流体 / 非平衡 / 熱力学 / 統計力学 / 多成分系 / 反応 / 拡散
Research Abstract

We obtained the general evolution equations for the density and mass flux of each component of a multicomponent fluid on the basis of conservation laws and irreversibility, which are required from the thermodynamic laws, as summarized in the Miyazaki-Kitahara-Bedeaux paper and in the book. The idea is that in a multicomponent fluid, internal energy is no more a conservative quantity, but the total energy including the kinetic energy of mass fluxes is conserved. Thus the Gibbs relation is generalized in terms of total energy density. Then the momentum densities ( mass flux densities) enter into the Gibbs relation. Then we derived linear irreversible thermodynamics in terms of intensive parameters, which appear in the generalized Gibbs relation. Furthermore, assuming the reversible part of the evolution equation has a symplectic property, which automatically satisfies the condition of no entropy production, we derived the reversiblepart of the evolution equation, which was not known for the mass flux of multicomponent fluids. Since our formulation is based on the entorpy concept, we generalized Boltzmann-Einstein principle to none quilibrium fluctuation of multicomponent fluids. Especially, thespatial correlation in nonequilibrium reaction-diffusion systems was studied in detail together with computer simulations. Finally, in the frame of linear hydrodynamics, we proved the thermodynamic results are correct from the microscopic Liouville formalism.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] J.Gorecki and K.Kitahara: "Does the structure of an oscillating chemical system oscillate?" Physica A. 245. 164-180 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Wakou, J.Gorecki and K.Kitahara: "On the Growth of Nonequilibrium Spatial Correlations in a Model Reaction Diffusion System : The Effect of the Diffusive Flow Relaxation" Acta Physica Polonica B. 29. 1691-1704 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Miyazaki, K.Kitahara and D.Bedeaux: "Nonequilibrium thermodynamics of multi-component fluids" Proc.2^<nd> Tohwa Int.Meeting“Statistical Physics"(World Sci.). 98-101 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Miyazaki and K.Kitahara: "Generalized hydrodynamics of binary fluids" Physica A. 264. 15-39 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 北原和夫: "非平衡系の統計力学" 岩波書店, 279 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 北原和夫 他: "複雑系の理論と応用" オーム社, 204 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 北原和夫: "プリゴジンが考えてきたこと" 岩波書店(印刷中), (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Gorecki and K.Kitahara: "Does the structure of an oscillating chemical system oscillate?" Physica. A245. 164-180 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Wakou, J.Gorecki and K.Kitahara: "On the growth of nonequilibrium spatial correlations in a model reaction diffusion system : The effect of the diffusive flow relaxation" Acta Physica Polonica. B29. 1691-1704 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Miyazaki, K.Kitahara and D.Bedeaux: "Nonequilibrium thermodynamics of multi-component fluids" Proc.2nd Tohwa International Meeting "Statistical Physics" (Eds.M.Tokuyama and I.Oppenheim, World Scientific). 98-101 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Miyazaki and K.Kitahara: "Generalized hydrodynamics of binary fluids" Physica. A264. 15-39 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Miyazaki,K.Kitahara and D.Bedeaux: "Nonequilibrium thermodynamics of multi-component fluids" Proc.2^<nd> Tohwa Int.Meeting ″Statistical Physics″(World Sci.). 98-101 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] J.Wakou,J.Gorecki and K.Kitahara,: "On the growth of nonequilibrium spatial correlations in a model reaction diffusion system: The effect of the diffusive flow relaxation" Acta Physica Polonica. B29. 1691-1704 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Miyazaki and K.Kitahara: "Generalized hydrodnamics of binary fluids" Physica A. A264. 15-39 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 北原和夫 他: "複雑系の理論と応用" オーム社(映像情報メディア学会編,中嶋正之監修), 204 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] J.Gorecki and K.Kitahara: "Does the structure of an oscillating chemical system oscillate?" Physica A. 245. 164-180 (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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