Read While You Wait - Get immediate ebook access, if available*, when you order a print book

Springer Theses

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

Diffusive Epidemic Process and Fully Developed Turbulence

Authors: Tarpin, Malo

Free Preview
  • 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
see more benefits

Buy this book

eBook 106,99 €
price for Spain (gross)
  • ISBN 978-3-030-39871-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-030-39870-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 106,99 €
price for Spain (gross)
  • ISBN 978-3-030-39871-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-030-39870-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

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
eBook ISBN
978-3-030-39871-2
DOI
10.1007/978-3-030-39871-2
Hardcover ISBN
978-3-030-39870-5
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XV, 207
Number of Illustrations
21 b/w illustrations
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works and instructor copies are not included.