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Multiscale approach by Non perturbative Renormalization group

Research Project

Project/Area Number 24654064
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionYonago National College of Technology

Principal Investigator

KOBAYASHI Tamao  米子工業高等専門学校, その他部局等, 講師 (60506822)

Co-Investigator(Renkei-kenkyūsha) AOKI Ken-ichi  金沢大学, 数物科学系, 教授 (00150912)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords非摂動くりこみ群 / イジング模型 / 量子散逸系 / 二重井戸ポテンシャル / 相転移現象
Outline of Final Research Achievements

In the laws of nature, there is the hierarchy among several energy scales (multiscale) from micro elementary particles to macro universe.The physical laws of similar form repeatedly appear at each scale.So far separate theories and analysis methods are proposed to the physical phenomenon of each scale in separated fields of study.
In this research, we develop the cross-sectional methods to calculate physical quantities from micro degrees of freedom.We formulate the transformation between macro and micro degrees of freedom with non-perturbative renormalization group methods.Then we are able to analyze an intended macro scale physics quantitatively and non-perturbatively, especially in terms of long range Ising model and quantum dissipative systems.

Report

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

    (11 results)

All 2014 2013 2012 Other

All Journal Article (2 results) (of which Peer Reviewed: 1 results) Presentation (7 results) Remarks (2 results)

  • [Journal Article] 散逸二重井戸系における相転移の解析2014

    • Author(s)
      青木健一、○小林玉青
    • Journal Title

      素粒子論研究

      Volume: 17 Pages: 138-141

    • Related Report
      2013 Research-status Report
  • [Journal Article] Phase transition of the dissipative double-well quantum mechanics2012

    • Author(s)
      Ken-Ichi Aoki, Tamao Kobayashi
    • Journal Title

      Modern Physics Letters B

      Volume: 26 Issue: 30 Pages: 1250202-14

    • DOI

      10.1142/s0217984912502028

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Domain Wall Renormalization Approach for 2d Ising spin model2014

    • Author(s)
      Ken-Ichi Aoki, ○Tamao Kobayashi, Tomohiko Yasoyama and Yusuke Yoshimura
    • Organizer
      7th International Conference on the Exact Renormalization Group
    • Place of Presentation
      Ionian Blue in Lefkade inland, Greece
    • Year and Date
      2014-09-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] 散逸二重井戸系における相転移の解析2013

    • Author(s)
      青木健一、○小林玉青
    • Organizer
      基研研究会「熱場の量子論とその応用」
    • Place of Presentation
      基礎物理学研究所
    • Related Report
      2013 Research-status Report
  • [Presentation] 長距離相互作用を持つ量子系のfull-MC-BDRGによる解析2013

    • Author(s)
      青木健一、○小林玉青
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学(東広島キャンパス)
    • Related Report
      2012 Research-status Report
  • [Presentation] Block Decimation Renormalization Group and Finite Range Scaling Analysis of Dissipative Double Well Quantum Mechanics2012

    • Author(s)
      Ken-Ichi Aoki, ○Tamao Kobayashi
    • Organizer
      ERG2012
    • Place of Presentation
      Centre of Paul Langevin, Aussois, France
    • Related Report
      2012 Research-status Report
  • [Presentation] 長距離相互作用を持つ量子系のブロックくりこみ群と有限レンジ スケーリングによる相転移の解析2012

    • Author(s)
      青木健一、○小林玉青
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      京都産業大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 長距離相互作用のある二重井戸量子力学系の full-BDRG による解析

    • Author(s)
      青木健一、○小林玉青
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      高知大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Domain Wall Renormalization Group Approach tothe 2d Ising Model with External Magnetic Field

    • Author(s)
      ○Ken-Ichi Aoki, Yasuhiro Fujii, Tamao Kobayashi, Daisuke Sato and Hiroshi Tomita
    • Organizer
      繰り込み群の数理科学での応用
    • Place of Presentation
      数理解析研究所
    • Related Report
      2013 Research-status Report
  • [Remarks] 米子高専シーズ集(研究者紹介)

    • URL

      https://www.yonago-k.ac.jp/center/seeds.php

    • Related Report
      2013 Research-status Report
  • [Remarks] 米子高専シーズ集(研究者紹介)

    • URL

      http://www.yonago-k.ac.jp/center/profile.php?seq=104

    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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