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Theoretical and Mathematical Physics

Non-Equilibrium Phase Transitions

Volume 1: Absorbing Phase Transitions

Authors: Henkel, Malte, Hinrichsen, Haye, Lübeck, Sven

  • Brings together the full range of results known for directed percolation, contact processes and their relatives
  • Uniquely offers a treatment of relaxation phenomena related to ageing
  • Includes extensive sample problem sets with detailed solutions
  • Ideal as a standard introductory text for beginning graduate students in this field
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eBook $89.00
price for USA in USD (gross)
  • ISBN 978-1-4020-8765-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA in USD
  • ISBN 978-1-4020-8764-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-94-007-9660-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book describes two main classes of non-equilibrium phase-transitions: (a) static and dynamics of transitions into an absorbing state, and (b) dynamical scaling in far-from-equilibrium relaxation behaviour and ageing.

The first volume begins with an introductory chapter which recalls the main concepts of phase-transitions, set for the convenience of the reader in an equilibrium context. The extension to non-equilibrium systems is made by using directed percolation as the main paradigm of absorbing phase transitions and in view of the richness of the known results an entire chapter is devoted to it, including a discussion of recent experimental results. Scaling theories and a large set of both numerical and analytical methods for the study of non-equilibrium phase transitions are thoroughly discussed.

The techniques used for directed percolation are then extended to other universality classes and many important results on model parameters are provided for easy reference.

Reviews

From the reviews:

"The monograph concentrates on nonequilibrium phase transitions from fluctuating (ordered) states into so-called absorbing states, which can never be left by the system once reached. … Extended appendices (plus solutions of excercises and answers to problems) on specific models … make the book useful not only to scientists and lecturers, but also to advanced graduate students." (Piotr Garbaczewski, Zentralblatt MATH, Vol. 1165, 2009)

“This research monograph … provides a highly desirable and topical pedagogical introduction as well as a timely overview of recent advances in theoretical investigations of continuous non-equilibrium phase transition from active states to inactive absorbing states. … This text is likely to become a standard reference in the field, and should be an indispensable source of information for both beginning and already seasoned researchers interested in non-equilibrium statistical physics, the theory of stochastic processes, and fundamental properties of reaction-diffusion systems … .” (Uwe C. Täuber, Mathematical Reviews, Issue 2012 h)


Table of contents (5 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-1-4020-8765-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA in USD
  • ISBN 978-1-4020-8764-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-94-007-9660-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Non-Equilibrium Phase Transitions
Book Subtitle
Volume 1: Absorbing Phase Transitions
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2008
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-8765-3
DOI
10.1007/978-1-4020-8765-3
Hardcover ISBN
978-1-4020-8764-6
Softcover ISBN
978-94-007-9660-7
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XIII, 385
Additional Information
Jointly published with Canopus Publishing Limited, Bristol, UK
Topics