研究業績／論文

• 博士論文：
  "Structure Formation in the Universe and Statistics of Self-Gravitating Systems"
  （宇宙の大規模構造形成と重力系の統計的性質）
  2002.3 Waseda Univ.
  希望者はご連絡下さい．

• 著書 (review paper)
  1. Analytic approaches to the structure formation in the accelerating universe
     Takayuki Tatekawa and Shuntaro Mizuno
     in "Dark Energy: Theories, Developments, and Implications"
     (K. Lefebvre and R. Garcia eds.) (Nova Science Publishers, New York, 2010), 241-294

• 論文：解説はこちら
  1. Statistical Mechanics of Self--Gravitating System : Cluster Expansion Method
     Osamu Iguchi, Tomomi Kurokawa, Masahiro Morikawa, Akika Nakamichi, Yasuhide Sota, Takayuki Tatekawa, and Kei-ichi Maeda
     Phys. Lett. A 260 (1999) 4-9

  2. Primordial fractal density perturbations and structure formation in the Universe :
     1-Dimensional collisionless sheet model
     Takayuki Tatekawa and Kei-ichi Maeda
     ApJ 547 (2001) 531-544

  3. Origin of scaling structure and non-gaussian velocity distribution in self-gravitating ring model
     Yasuhide Sota, Osamu Iguchi, Masahiro Morikawa, Takayuki Tatekawa, and Kei-ichi Maeda
     Phys. Rev. E 64 (2001) 056133

  4. Extenging Lagrangian perturbation theory to a fluid with velocity dispersion
     Masaaki Morita and Takayuki Tatekawa
     Mon. Not. R. Astron. Soc. 328 (2001) 815-828

  5. Perturbation theory in Lagrangian hydrodynamics for a cosmological fluid with velocity dispersion
     Takayuki Tatekawa, Momoko Suda, Kei-ichi Maeda, Masaaki Morita, and Hiroki Anzai
     Phys. Rev. D 66 (2002) 064014

  6. Density field in extended Lagrangian perturbation theory
     Takayuki Tatekawa
     Phys. Rev. D 69 (2004) 084020

  7. Correspondence between the adhesion model and the velocity dispersion for the cosmological fluid
     Takayuki Tatekawa
     Phys. Rev. D 70 (2004) 064010

  8. Universal Non-Gaussian Velocity Distribution in Violent Gravitational Processes
     Osamu Iguchi, Yasuhide Sota, Takayuki Tatekawa, Akika Nakamichi, and Masahiro Morikawa
     Phys. Rev. E 71 (2005) 016102

  9. Third-order perturbative solutions in the Lagrangian perturbation theory with pressure
     Takayuki Tatekawa
     Phys. Rev. D 71 (2005) 044024

  10. Non-Gaussianity of one-point distribution functions in extended Lagrangian perturbation theory
      Takayuki Tatekawa
      JCAP 04 (2005) 018

  11. Thermodynamics of the self-gravitating ring model
      Takayuki Tatekawa, Freddy Bouchet, Thierry Dauxois, and Stefano Ruffo
      Phys. Rev. E 71 (2005) 056111

  12. Third-order perturbative solutions in the Lagrangian perturbation theory with pressure II:
      Effect of the transverse modes
      Takayuki Tatekawa
      Phys. Rev. D 72 (2005) 024005

  13. Comparison of the velocity distribution between the adhesion approximation and the Euler-Jeans-Newton model
      Hajime Sotani and Takayuki Tatekawa
      Phys. Rev. D 73 (2006) 024024

  14. Non-Gaussianity of the density distribution in accelerating universes
      Takayuki Tatekawa and Shuntaro Mizuno
      JCAP 02 (2006) 006

  15. Improving the Lagrangian perturbative solution for cosmic fluid: Applying Shanks transformation
      Takayuki Tatekawa
      Phys. Rev. D 75 (2007) 044028

  16. Non-Gaussianity of the density distribution in accelerating universes II: N-body simulations
      Takayuki Tatekawa and Shuntaro Mizuno
      JCAP 02 (2007) 015

  17. Transients from initial conditions based on Lagrangian perturbation theory in N-body simulations
      Takayuki Tatekawa and Shuntaro Mizuno
      JCAP 12 (2007) 014

  18. Cosmic structures via Bose Einstein condensation and its collapse
      Takeshi Fukuyama, Masahiro Morikawa, and Takayuki Tatekawa
      JCAP 06 (2008) 033

  19. The effect of modified gravity on weak lensing
      Shinji Tsujikawa and Takayuki Tatekawa
      Phys. Lett. B 665 (2008) 325-331

  20. Second-order matter density perturbations and skewness in scalar-tensor modified gravity models
      Takayuki Tatekawa and Shinji Tsujikawa
      JCAP 09 (2008) 009

  21. Brownian dynamics around the core of self-gravitating systems
      Tohru Tashiro and Takayuki Tatekawa
      J. Phys. Soc. Jpn. 79 (2010) 063001

  22. Fourth-order perturbative equations in Lagrangian perturbation theory for cosmological dust fluid
      Takayuki Tatekawa
      Prog. Theor. Exp. Phys. (2013) 013E03

  23. Transients from initial conditions based on Lagrangian perturbation theory in N-body simulations II
      the effect of the transverse mode
      Takayuki Tatekawa
      JCAP 04 (2014) 025

  24. Accelerating N-body simulation of self-gravitating systems with limited first-order post-Newtonian approximation
      Takayuki Tatekawa
      Commun. Comput. Phys. 25 (2019) 68-83
      Source code: [ascl:1902.002] LPNN: Limited Post-Newtonian N-body code for collisionless self-gravitating systems

  25. Transients from Initial Conditions Based on Lagrangian Perturbation Theory in N-body Simulations III: The Case of GADGET-2 Code
      Takayuki Tatekawa
      Int. J. Mod. Phys. D, 29 (15), 2050096 (2020)
      Source code: [ascl:2101.001] 3LPT-init: Initial conditions with third-order Lagrangian perturbation for cosmological N-body simulations

  26. Detection of Intermediate-Mass Black Holes in Globular Clusters Using Gravitational Lensing
      Takayuki Tatekawa and Yuuki Okamura
      Stars and Galaxies, Vol. 3, id. 3

  27. JASMINE: Near-Infrared Astrometry and Time Series Photometry Science
      Daisuke Kawata et al.
      arXiv:2307.05666

• 国際会議集録：
  1. Cosmological Jeans theory in Lagrangian coordinates
     Masaaki Morita and Takayuki Tatekawa
     Proceedings of the 4th RESCEU International Symposium 381-382 (Universal academy press, Tokyo, 2001)

  2. Primordial Fractal Density Fluctuation and Structure Formation of The Universe
     Takayuki Tatekawa and Kei-ichi Maeda
     Proceedings of the 4th RESCEU International Symposium 429-430 (Universal academy press, Tokyo, 2001)

  3. Primordial Fractal Density Perturbations and Structure Formation in The Universe: 1-dimensional collisionless sheet model
     Takayuki Tatekawa and Kei-ichi Maeda
     Proceedings of the Ninth Marcel Grossmann Meeting (MG9) 2017-2018 (World Scientific, Singapore, 2002)

  4. The Density Field in Extended Lagrangian Perturbation Theory
     Takayuki Tatekawa
     Proceedings of the 6th RESCEU International Symposium 507-508 (Universal academy press, Tokyo, 2004)

  5. Validity and Application of the Extended Lagrangian Perturbation Theory
     Takayuki Tatekawa
     Proceedings of 22nd Texas Symposium on Relativistic Astrophysics 1311 (SLAC Technical Publications, Stanford, 2005)

  6. Thermodynamics of the self-gravitating ring model: Analyses with new iterative method
     Takayuki Tatekawa, Freddy Bouchet, Thierry Dauxois, and Stefano Ruffo
     J. Phys.: Conf. Ser. 31 163-164
     THE THIRD 21COE SYMPOSIUM: ASTROPHYSICS AS INTERDISCIPLINARY SCIENCE

  7. Lagrangian description for the cosmic fluid
     Takayuki Tatekawa
     Proceedings of Relativistic Astrophysics and Cosmology - Einstein's Legacy - 56-58 (Springer-Verlag, 2007)

  8. Phase transition in d-dimensional long-range interacting systems
     Takayuki Tatekawa
     Comp. Phys. Comm. 177 (2007) 190-190
     Proceedings of Conference on Computational Physics 2006 (CCP2006)

  9. Statistical mechanics of SDSS galaxy distribution and cosmological N-body simulations
     Akika Nakamichi, Takayuki Tatekawa, Masahiro Morikawa
     AIP Conference Proceedings 965 (2007) 267-272
     Proceedings of COMPLEXITY, METASTABILITY, AND NONEXTENSIVITY: An International Conference

  10. Initial condition problem for cosmological N-body simulations
      Takayuki Tatekawa and Shuntaro Mizuno
      Dark Energy and Dark Matter: Observations, Experiments and Theories
      EAS Publication Series, 36 (2009) 109-110

  11. Core-Halo Structure of Quasi-Stationary States in the Hamiltonian Mean Field Model
      Eiji Konishi, Masa-aki Sakagami, and Takayuki Tatekawa
      Advances in Science, Technology and Environmentology, Research Institute for Science and Engineering, Waseda University, Vol. B11 (2015.3) 141-142
      Special Issue on New Challenges in Complex Systems Science

  12. Universal structure of self-gravitating systems not depending on dimensions and its physics
      Tohru Tashiro and Takayuki Tatekawa
      Advances in Science, Technology and Environmentology, Research Institute for Science and Engineering, Waseda University, Vol. B11 (2015.3) 189-192
      Special Issue on New Challenges in Complex Systems Science

  13. The relation between order of phase transition and characteristic properties in SGR models
      Takayuki Tatekawa
      Advances in Science, Technology and Environmentology, Research Institute for Science and Engineering, Waseda University, Vol. B11 (2015.3) 193-196
      Special Issue on New Challenges in Complex Systems Science

  14. Higher-order Lagrangian perturbative theory for the Cosmic Web
      Takayuki Tatekawa and Shuntaro Mizuno
      Proceedings of the International Astronomical Union, Volume 11, Issue S308 (The Zeldovich Universe: Genesis and Growth of the Cosmic Web) (2016) 119-120

• 解説，紀要
  1. 平衡状態の分布関数を導出する新たな逐次近似法
     立川 崇之
     物性研究 vol.87 No.4 (2007.1) 510-534

  2. 高次のLagrange的摂動論による宇宙の大規模構造形成
     立川 崇之
     福井大学大学院工学研究科 研究報告 第61巻 (2013.3) 1-9

  3. 宇宙の大規模構造におけるマルチフラクタル構造の進化
     立川 崇之
     福井大学大学院工学研究科 研究報告 第63巻 (2014.9) 15-21

• その他
  1. Lagrangian perturbation theory in Newtonian cosmology
     Takayuki Tatekawa
     astro-ph/0412025,"Recent Research Development in Astrophysics" Vol. 2, 1-26 (Research Signpost: Kerala, India, 2005) .

  2. Stochastic Dynamics Toward the Steady State of Self-Gravitating Systems
     Tohru Tashiro and Takayuki Tatekawa
     arxiv:1108.1532, Numerical Simulations of Physical and Engineering Processes, Jan Awrejcewicz (Ed.) (INTECH, Croatia) 301-318 (2011)

• Unpublished
  1. Inhomogeneities in Newtonian Cosmology and its Backreaction to the Evolution of the Universe
     Takayuki Tatekawa, Momoko Suda, Kei-ichi Maeda, and Hiroto Kubotani
     astro-ph/0109501

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