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Springer Theses
cover

Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems

Diffusive Epidemic Process and Fully Developed Turbulence

Authors: Tarpin, Malo

  • Nominated as an outstanding PhD thesis by the University of Grenobles Alpes
  • A valuable contribution to our understanding of critical stationary states in out-of-equilibrium systems
  • Presents new mathematical insights including exact analytical descriptions of physically relevant regimes
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イーブック ¥14,600
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • イーブック版は、まもなく発売予定です。
  • 予定日: April 27, 2020
  • ISBN 978-3-030-39871-2
  • ウォーターマーク付、 DRMフリー
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ハードカバー ¥18,251
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: April 27, 2020
  • ISBN 978-3-030-39870-5
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
この書籍について

This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections.

書籍の購入

イーブック ¥14,600
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • イーブック版は、まもなく発売予定です。
  • 予定日: April 27, 2020
  • ISBN 978-3-030-39871-2
  • ウォーターマーク付、 DRMフリー
  • ファイル形式:
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ハードカバー ¥18,251
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: April 27, 2020
  • ISBN 978-3-030-39870-5
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
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書誌情報

Bibliographic Information
Book Title
Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems
Book Subtitle
Diffusive Epidemic Process and Fully Developed Turbulence
Authors
Series Title
Springer Theses
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-39871-2
DOI
10.1007/978-3-030-39871-2
ハードカバー ISBN
978-3-030-39870-5
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XV, 207
Number of Illustrations
14 b/w illustrations
Topics