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1991 Fiscal Year Final Research Report Summary

Statistical Mechanics of Interfaces

Research Project

Project/Area Number 01540301
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 物性一般(含極低温・固体物性に対する理論)
Research InstitutionKyushu University

Principal Investigator

KAWASAKI Kyozi  Kyushu Univ., Faculty of Sci., Professor, 理学部, 教授 (40037164)

Co-Investigator(Kenkyū-buntansha) KAWAKATSU Toshihiro  Kyushu Univ., Fac. Sci., Assistant, 理学部, 助手 (20214596)
SEKIMOTO Ken  Kyushu Univ., Fac. Sci., Assistant, 理学部, 助手 (00179342)
NAGAI Tatsuzo  Kyushu Kyoritsu Univ., Fac. Engineering, Professor, 工学部, 教授 (60069325)
Project Period (FY) 1989 – 1991
KeywordsPattern Formation / Complex Fluids / Phase Transition / Interfaces / Topological Defects / Phase Separation / Computer Experiments / Statistical Mechanical Theory
Research Abstract

The main purpose of the traditional statistical physics has been, in general, to explain macroscopic phenomena in terms of features of microscopic elements of the material, like atoms and molecules. However, in these processes, one often faces a difficulty particularly in the problems where long-range interactions play an essential role, e. g. phase transition phenomena. In such problems, it is often useful to adopt coarse-grained descriptions. A typical example is the critical phenomena.
In this study, we start from a macroscopic continuum model, called Ginzburg-Landau model, which can be derived. by coarse-graining microscopic models. Such a continuum description is sometimes inadequate and should be supplemented by taking account of localized singularities, like interfaces. We studied the following problems, in each of which interafces play a crucial role ;
1) Statistical Mechanics of Cellular Pattern Formation
2) Phase Coexistence of Gels
3) Pattern Formation in Sytems Containing Surfactants
These problems are important not only in the field of fundamental physics but also in the field of applied sciences. Some of our researches has exploratory aspects, which should be refined in the future studies.

  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] K.Kawasaki: "Vertex Models for Two-Dimensional Grain Growth" Phil.Mag.60. 399-421 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Nakashima: "Scaling Behavior of Two-Dimensional Domain Growth:Computer Simulation of Vertex Models." J.Stat.Phys.57. 759-787 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Nagai: "Computer Simulation of Cellular Pattern Growth in Two and Three Dimensions" Phase Transitions. 28. 177-211 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Sekimoto: "Elastic Instabilities and Phase Coexistence of Gels" Physica. 154A. 384-420 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kawakatsu: "Hybrid Models for the Dynamics of an Jmmiscible Binary Mixture with Surfactant Molecules" Physica. A167. 690-735 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant.I.Computer Experiments." J.Colloid Interface Sci.145. 413-419 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Enomoto: "Two-Dimensional Vertex Model with Local Friction Coeficient" Int.J.Mod.Phys.B3. 163-169 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Suematsu: "3-Dimensional Computer Modeling for Pattern Formation on the Surface of an Expanding Polymer Gel" Phys.Rev.A41. 5751-5754 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Kawasaki: "Continuum Theory of an Immiscible Binary Fluid Mixture with a Surfactant" Physica. A164. 549-563 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Kawasaki: "Equilibrium Morphology of Block Copolymer Melts 3." Macromolecules. 23. 4006-4019 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant.II.Analytical Treatments." J.Colloid Interface Sci.145. 420-432 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K. Kawasaki: "Vertex Model for Two-Dimensional Grain Growth" Phil. Mag.60. 399-421 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Nakashima: "Scaling Behavior of Two-Dimensional Domain Growth : Computer simulation of Vertex Model" J. Stat. Phys.57. 759-787 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Nagai: "Computer Simulation of Cellular Pattern Growth in Two and Three Dimensions" Phase Transitions. 28. 177-211 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Sekimoto: "Elastic Instabilities and Phase Coexistence of Gels" Physica. 154A. 384-420 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Kawakatsu: "Hybrid Models for the Dynamics of an Immiscible Binary Mixture with Surfactant Molecules" Physica. A167. 690-735 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant. I. Computer Experiments" J. Colloid Interface Sci.145. 413-419 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Enomoto: "Two-Dimensional Vertex Model with Local Friction Coefficient" Int. J. Mod. Phys.B3. 163-169 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N. Suematsu: "3-Dimensional Computer Modeling for Pattern Formation on the Surface of an Expanding Polymer Gel" Phys. Rev.A41. 5751-5754 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Kawasaki: "Continuum Theory of an Immiscible Binary Fluid Mixture with a Surfactant" Physica. A164. 549-563 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Kawasaki: "Equilibrium Morphology of Block Copolymer Melts. 3." Macromolecules. 23. 4006-4019 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant. II. Analytical Treatments" Colloid Interface Sci.145. 420-432 (1991)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1993-03-16  

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