Numerical Simulations of Self-Gravitating Systems Through Collision less Boltzmann Equation on Six-Dimensional Phase Space

2011 Fiscal Year Final Research Report

• Project/Area Number: 21654026
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Single-year Grants
• Research Field: Astronomy
• Research Institution: University of Tsukuba
• Principal Investigator: YOSHIKAWA Kohji 筑波大学, 数理物質系, 講師 (70451672)
• Co-Investigator(Kenkyū-buntansha): UMEMURA Masayuki 筑波大学, 数理物質系, 教授 (70183754)
• Project Period (FY): 2009 – 2011
• Keywords: 数値シミュレーション / 自己重力系

Research Abstract

We develop a numerical simulation code for self-gravitating systems which directly integrates the collisionless Boltzmann equation coupled with the Poisson equation on the six-dimensional phase space, and perform, for the first time, a set of numerical simulations of self-gravitating systems using the collisionless Boltzmann equation with a scientifically meaningful problem size. Furthermore, by comparing the results obtained from both of our numerical simulations and conventional N-body simulations, we confirm the validity of our numerical method and estimate its advantage and disadvantages over the conventional N-body method. We also adopt our method to numerical simulations of the large-scale structure formation in the universe by extending our implementation into the cosmological comoving frame, and confirm its validity again by comparing the results with those from conventional N-body simulations.

Research Products

• [Journal Article] Non-Equilibrium Ionization State and Two-Temperature Structure in the Bullet Cluster 1E0657-56 (2012)
  • Author(s): Akahori, T., Yoshikawa, K
  • Journal Title: Publications of the Astronomical Society of Japan Volume: 64 Pages: 12
  • Peer Reviewed
• [Journal Article] ARGOT : Accelerated radiative transfer on grids using oct-tree (2012)
  • Author(s): Okamoto, T., Yoshikawa, K., Umemura, M
  • Journal Title: Monthly Notice of the Royal Astronomical Society Volume: 419 Pages: 2855
  • Peer Reviewed
• [Journal Article] N-body simulation for self-gravitating collisional systems with a new SIMD instruction set extension to the x86 architechture, Adavanced Vector eXtensions (2012)
  • Author(s): Tanikawa, A., Yoshikawa, K., Okamoto, T., Nitadori, K
  • Journal Title: New Astronomy Volume: 17 Pages: 82
  • Peer Reviewed
• [Journal Article] A high-frequency study of the Sunyaev-Zel'dovich effect morphology in galaxy clusters (2011)
  • Author(s): Prokhorov, D. A., Colafrancesco, S., Akahori, T., Million, E. T., Nagataki, S., Yoshikawa, K
  • Journal Title: Monthly Notice of the Royal Astronomical Society Volume: 416 Pages: 302
  • Peer Reviewed
• [Journal Article] Unveiling the 3D temperature structure of galaxy clusters by means of the thermal Sunyaev-Zel'dovich effect (2011)
  • Author(s): Prokhorov, D. A., Dubois, Y., Nagataki, S., Akahori, T., Yoshikawa, K
  • Journal Title: Monthly Notice of the Royal Astronomical Society Volume: 415 Pages: 2505
  • Peer Reviewed
• [Journal Article] Can electron distribution functions be derived through the Sunyaev-Zel'dovich effect (2011)
  • Author(s): Prokhorov, D. A., Colafrancesco, S., Akahori, T., Yoshikawa, K., Nagataki, S., Seon, K.-I
  • Journal Title: Astronomy & Astrophysics Volume: 529 Pages: 39
  • Peer Reviewed
• [Journal Article] Hydrodynamic Simulations of Merging Galaxy Clusters : Non-Equilibrium Ionization State and Two-Temperature Structure (2010)
  • Author(s): Akahori, Takuya ; Yoshikawa, Kohji
  • Journal Title: Publications of the Astronomical Society of Japan Volume: 62 Pages: 335
  • Peer Reviewed
• [Presentation] 新しいSIMD拡張命令セットAdvanced Vector eXtensionsを用いた高性能無衝突系N体計算ライブラリの開発 (2011)
  • Author(s): 吉川耕司
  • Organizer: 日本天文学会2011年秋季年会
  • Place of Presentation: 鹿児島大学
  • Year and Date: 2011-09-21
• [Presentation] 6次元位相空間上でのVlasov方程式の直接計算による自己重力系の数値シミュレーション (2010)
  • Author(s): 吉川耕司
  • Organizer: 日本天文学会2010年秋季年会
  • Place of Presentation: 金沢大学
  • Year and Date: 2010-09-24
• [Presentation] 衝突銀河団におけるSunyaev-Zel'dovich効果 (2009)
  • Author(s): 吉川耕司
  • Organizer: 日本天文学会2009年秋季年会
  • Place of Presentation: 山口大学
  • Year and Date: 2009-09-14