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Non-linearity and fluctuations in crystal growth

Research Project

Project/Area Number 24540318
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Condensed matter physics I
Research InstitutionNagoya University

Principal Investigator

Uwaha Makio  名古屋大学, 理学(系)研究科(研究院), 教授 (30183213)

Co-Investigator(Renkei-kenkyūsha) SATO Masahide  金沢大学, 情報メディア基盤センター, 教授 (20306533)
KATSUNO Hiroyasu  立命館大学, 理工学部, 助教 (70377927)
Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsステップの蛇行 / パターン形成 / カイラル結晶化 / カイラリティ転換 / シリコン / 塩素酸ナトリウム / 櫛状パターン / フェイズフィールドモデル / 格子モデル / ファイズフィールドモデル / フェーズフィールドモデル
Outline of Final Research Achievements

In order to clarify the roles of non-linearity and fluctuations, mechanisms of the two phenomena have been studied: A) formation of a comb-like pattern of steps on a crystal surface and B) conversion of the crystal chirality by grinding crystals in a solution.
In A), competition between fluctuations and crystal anisotropy has been demonstrated quantitatively both in a discrete lattice model and in a continuum model. A new mechanism for determination of the period of patterns by coarsening was also found.
In B), it was confirmed that the fluctuations trigger the symmetry breaking and the non-linearity by the growth of chiral clusters amplifies the asymmetry. In addition, the newly discovered chirality conversion with periodic change of temperature without grinding has been also explained by the same model with growth of chiral clusters.

Report

(5 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (41 results)

All 2016 2015 2014 2013 2012 Other

All Journal Article (9 results) (of which Peer Reviewed: 9 results,  Open Access: 3 results,  Acknowledgement Compliant: 3 results) Presentation (25 results) (of which Int'l Joint Research: 1 results,  Invited: 5 results) Book (1 results) Remarks (6 results)

  • [Journal Article] Mechanism of Chirality Conversion by Periodic Change of Temperature: Role of Chiral Clusters2016

    • Author(s)
      H. Katsuno and M. Uwaha
    • Journal Title

      Phys. Rev. E

      Volume: 93 Issue: 1 Pages: 013002-013002

    • DOI

      10.1103/physreve.93.013002

    • NAID

      120005690880

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Relation between the Step Pattern and the Velocity of the Moving Linear Adatom Source2015

    • Author(s)
      K. Kishi, M. Kawaguchi, H. Miura, M. Sato, M. Uwaha
    • Journal Title

      e-J. Surf. Sci. Nanotech.

      Volume: 13 Issue: 0 Pages: 269-274

    • DOI

      10.1380/ejssnt.2015.269

    • NAID

      130005074891

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Period of a comblike pattern controlled by adatom supply and noise2015

    • Author(s)
      M. Kawaguchi, H. Miura, K. Kishi, M. Sato and M. Uwaha,
    • Journal Title

      Physical Review E

      Volume: 91 Issue: 1

    • DOI

      10.1103/physreve.91.012409

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Emergence and Amplification of Chirality via Achiral-Chiral Polymorphic Transformation in Sodium Chlorate Solution Growth2014

    • Author(s)
      H. Niinomi, H. Miura, Y. Kimura, M. Uwaha, H. Katsuno, S. Harada, T. Ujihara, and K. Tsukamoto
    • Journal Title

      Crystal Growth and Design

      Volume: 14 Issue: 7 Pages: 3596-3602

    • DOI

      10.1021/cg500527t

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Effect of nucleation on chirality conversion induced by random fluctuation2014

    • Author(s)
      Hiroyasu Katsuno, Makio Uwaha
    • Journal Title

      Journal of Crystal Growth

      Volume: 401 Pages: 59-62

    • DOI

      10.1016/j.jcrysgro.2013.10.063

    • Related Report
      2014 Research-status Report 2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Achiral Metastable Crystals of Sodium Chlorate Forming Prior to Chiral Crystals in Solution Growth2013

    • Author(s)
      Niinomi, Hiromasa
    • Journal Title

      Crystal Growth & Design

      Volume: 13 Issue: 12 Pages: 5188-5192

    • DOI

      10.1021/cg401324f

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Relaxation dynamics of labyrinthine submonolayer films2013

    • Author(s)
      Koichi Sudoh, Masakazu Okano, Toshiharu Irisawa, Kiiko Katsuno (Matsumoto), and Makio Uwaha
    • Journal Title

      Surface Science

      Volume: 609 Pages: L1-L4

    • DOI

      10.1016/j.susc.2012.10.023

    • NAID

      120005475972

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Change in the Branch Period of the Step Pattern Formed by a Moving Linear Source -Initial Coarsening and Effect of an Abrupt Change in the Velocity2012

    • Author(s)
      Shinji Kondo, Masashi Kawaguchi, Masahide Sato, and Makio Uwaha
    • Journal Title

      Journal of Crystal Growth

      Volume: 362 Pages: 6-12

    • DOI

      10.1016/j.jcrysgro.2012.01.058

    • NAID

      120005475971

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Appearance of a homochiral state of crystals induced by random fluctuation in grinding2012

    • Author(s)
      Hiroyasu Katsuno, Makio Uwaha
    • Journal Title

      Phys. Rev. E

      Volume: 86 Issue: 5

    • DOI

      10.1103/physreve.86.051608

    • NAID

      120005475974

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 温度循環による結晶カイラリティ転換機構2016

    • Author(s)
      勝野弘康,上羽牧夫
    • Organizer
      第45回結晶成長国内会議(日本結晶成長学会)
    • Place of Presentation
      札幌市
    • Year and Date
      2016-10-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] 粉砕による結晶カイラリティ転換における不純物効果2016

    • Author(s)
      勝野弘康,上羽牧夫
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      仙台市
    • Year and Date
      2016-03-21
    • Related Report
      2015 Annual Research Report
  • [Presentation] 移動速度の異なる粒子供給源での2つの同一周期櫛状パターンの形成機構2016

    • Author(s)
      佐藤正英,上羽牧夫,三浦均
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      仙台市
    • Year and Date
      2016-03-21
    • Related Report
      2015 Annual Research Report
  • [Presentation] Study of Growth Modes with Dislocations in Heteroepitaxy by an Elastic Lattice Model2015

    • Author(s)
      H. Katsuno, M. Uwaha and Y. Saito (talk given by HK)
    • Organizer
      5th International Workshop on Epitaxial Growth and Fundamental Properties of Semiconductor Nanostructures
    • Place of Presentation
      Hsinchu(Taiwan)
    • Year and Date
      2015-09-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An Elastic Effect in Crystal Growth: Change of Growth Modes with Dislocations in Heteroepitaxy2015

    • Author(s)
      Hiroyasu Katsuno, Makio Uwaha
    • Organizer
      7th International Symposium on Advanced Plasma Science and Its Application for Nitrides and Nanomaterials
    • Place of Presentation
      Nagoya University
    • Year and Date
      2015-03-30
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 温度サイクルによるカイラル結晶のカイラリティ転換機構2015

    • Author(s)
      勝野弘康,上羽牧夫
    • Organizer
      日本物理学会第70 回年次大会,2015 年3 月22 日,東京
    • Place of Presentation
      早稲田大学(東京)
    • Year and Date
      2015-03-22
    • Related Report
      2014 Research-status Report
  • [Presentation] 移動する粒子源によるステップのパターン形成{フェーズフィールドシミュレーション(6)2015

    • Author(s)
      岸和宏,,川口将司,三浦均,佐藤正英,上羽牧夫
    • Organizer
      日本物理学会第70 回年次大会,2015 年3 月22 日,東京
    • Place of Presentation
      早稲田大学(東京)
    • Year and Date
      2015-03-22
    • Related Report
      2014 Research-status Report
  • [Presentation] 移動する粒子源によるステップのパターン形成{パターンの安定性2014

    • Author(s)
      岸和宏,川口将司,三浦均,佐藤正英,上羽牧夫
    • Organizer
      第44 回結晶成長国内会議(日本結晶成長学会),2014 年11 月6-8 日,東京
    • Place of Presentation
      学習院大学(東京)
    • Year and Date
      2014-11-06
    • Related Report
      2014 Research-status Report
  • [Presentation] Formation of a Comb-Like Pattern on a Ga Deposited Si(111) Vicinal Face2014

    • Author(s)
      K. Kishi, M. Kawaguchi, H. Miura, M. Sato and M. Uwaha
    • Organizer
      The 7th International Symposium on Surface Science
    • Place of Presentation
      Matsue
    • Year and Date
      2014-11-03
    • Related Report
      2014 Research-status Report
  • [Presentation] 移動する粒子源によるステップのパターン形成{フェーズフィールドシミュレーション(5)2014

    • Author(s)
      岸和宏,川口将司,三浦均,佐藤正英,上羽牧夫
    • Organizer
      日本物理学会2014 年秋季大会,2014 年9 月7 日,春日井
    • Place of Presentation
      中部大学(春日井)
    • Year and Date
      2014-09-07
    • Related Report
      2014 Research-status Report
  • [Presentation] Step patterns induced by a line source of adatoms

    • Author(s)
      Makio Uwaha, Masashi Kawaguchi, Shinji Kondo, Hitoshi Miura, Masahide Sato
    • Organizer
      The 17th International Conference on Crystal Growth and Epitaxy
    • Place of Presentation
      Warsaw
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Two Pathways Determining Chirality in NaClO3 Crystals Grown from Solution via Achiral Precursors

    • Author(s)
      Hiromasa Niinomi, Hitoshi Miura, Yuki Kimura, Takahiro Kuribayashi, Makio Uwaha, Shunta Harada, Toru Ujihara, Katsuo Tsukamoto
    • Organizer
      The 17th International Conference on Crystal Growth and Epitaxy
    • Place of Presentation
      Warsaw
    • Related Report
      2013 Research-status Report
  • [Presentation] Appearance of a homochiral state in crystallization by random fluctuation

    • Author(s)
      Hiroyasu Katsuno, Makio Uwaha
    • Organizer
      The 17th International Conference on Crystal Growth and Epitaxy
    • Place of Presentation
      Warsaw
    • Related Report
      2013 Research-status Report
  • [Presentation] 移動する粒子源によるステップのパターン形成-フェーズフィールドシミュレーション(3)-

    • Author(s)
      岸和宏,三浦均,佐藤正英,上羽牧夫
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      徳島
    • Related Report
      2013 Research-status Report
  • [Presentation] 揺らぎによって誘起される結晶カイラリティの破れ II

    • Author(s)
      勝野弘康,上羽牧夫
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島
    • Related Report
      2013 Research-status Report
  • [Presentation] 移動する粒子源によるステップのパターン形成

    • Author(s)
      岸和宏,川口将司,三浦均,佐藤正英,上羽牧夫
    • Organizer
      第43回結晶成長国内会議(日本結晶成長学会)
    • Place of Presentation
      長野
    • Related Report
      2013 Research-status Report
  • [Presentation] NaClO3溶液成長におけるアキラルな準安定相の溶解度測定

    • Author(s)
      新家寛正,原田俊太,宇治原徹,三浦均,木村勇気,上羽牧夫,塚本勝男
    • Organizer
      第43回結晶成長国内会議(日本結晶成長学会)
    • Place of Presentation
      長野
    • Related Report
      2013 Research-status Report
  • [Presentation] 移動する粒子源によるステップのパターン形成

    • Author(s)
      川口将司,三浦均,岸和宏,佐藤正英,上羽牧夫
    • Organizer
      第43回結晶成長国内会議(日本結晶成長学会)
    • Place of Presentation
      長野
    • Related Report
      2013 Research-status Report
  • [Presentation] NaClO3溶液成長におけるアキラルな準安定相を介したキラル結晶形成過程

    • Author(s)
      新家寛正,原田俊太,宇治原徹,三浦均,木村勇気,栗林貴弘,上羽牧夫,塚本勝男
    • Organizer
      第43回結晶成長国内会議(日本結晶成長学会)
    • Place of Presentation
      長野
    • Related Report
      2013 Research-status Report
  • [Presentation] 移動する粒子源によるステップのパターン形成フェーズフィールドシミュレーション(4)

    • Author(s)
      岸和宏,三浦均,佐藤正英,上羽牧夫
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      平塚
    • Related Report
      2013 Research-status Report
  • [Presentation] 移動する粒子源によるステップのパターン形成--フェーズフィールドシミュレーション(1)--

    • Author(s)
      川口将司,三浦均,佐藤正英,上羽牧夫
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜
    • Related Report
      2012 Research-status Report
  • [Presentation] 移動する粒子源による ステップのパターン形成--フェーズフィールドシミュレーション--

    • Author(s)
      川口将司,三浦均,佐藤正英,上羽牧夫
    • Organizer
      第42回結晶成長国内会議(日本結晶成長学会)
    • Place of Presentation
      春日
    • Related Report
      2012 Research-status Report
  • [Presentation] 移動する粒子源によるステップのパターン形成--フェーズフィールドシミュレーション(2)--

    • Author(s)
      川口将司,三浦均,佐藤正英,上羽牧夫
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      東広島
    • Related Report
      2012 Research-status Report
  • [Presentation] Pattern Formation of a Step Induced by a Guiding Linear Source

    • Author(s)
      M. Kawaguchi, S. Kondoh, H. Miura, M. Sato and M. Uwaha
    • Organizer
      Japan-Netherlands Joint Symposium on Crystal Growth: Theory and In-Situ Measurements (JANE-2012)
    • Place of Presentation
      仙台
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Chirality and Crystallization

    • Author(s)
      M. Uwaha
    • Organizer
      International Crystal Growth Summer School in Sendai
    • Place of Presentation
      仙台
    • Related Report
      2012 Research-status Report
    • Invited
  • [Book] Growth Kinetics ---basics of crystal growth mechanism in Handbook of Crystal Growth, vol.1A, 2nd edition ed. T. Nishinaga2014

    • Author(s)
      Makio Uwaha
    • Publisher
      Elsevier
    • Related Report
      2014 Research-status Report
  • [Remarks] Welcome to my home page 上羽牧夫

    • URL

      http://www.slab.phys.nagoya-u.ac.jp/uwaha/

    • Related Report
      2015 Annual Research Report
  • [Remarks] Welcome to my home page

    • URL

      http://www.slab.phys.nagoya-u.ac.jp/uwaha/

    • Related Report
      2014 Research-status Report
  • [Remarks] (上羽牧夫のウェブページ)

    • URL

      http://www.slab.phys.nagoya-u.ac.jp/uwaha/

    • Related Report
      2013 Research-status Report
  • [Remarks] (物性理論研究室のウェブページ)

    • URL

      http://www.s.phys.nagoya-u.ac.jp/

    • Related Report
      2013 Research-status Report
  • [Remarks] (上羽牧夫のウェブページ)

    • URL

      http://www.slab.phys.nagoya-u.ac.jp/uwaha/

    • Related Report
      2012 Research-status Report
  • [Remarks] (物性理論研究室のウェブページ)

    • URL

      http://www.s.phys.nagoya-u.ac.jp/

    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2020-05-15  

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