The Resource Noise in Spatially Extended Systems, by Jordi Garcia-Ojalvo, Jose Sancho, (electronic resource)

Noise in Spatially Extended Systems, by Jordi Garcia-Ojalvo, Jose Sancho, (electronic resource)

Label
Noise in Spatially Extended Systems
Title
Noise in Spatially Extended Systems
Statement of responsibility
by Jordi Garcia-Ojalvo, Jose Sancho
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Intended for graduate students and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It offers a practical introduction to the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. The text begins with a general introduction to noise-induced phenomena in dynamical systems followed by an extensive discussion of analytical and numerical tools needed to get information from stochastic partial differential equations. It then turns to particular problems described by stochastic partial differential equations, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations
Member of
http://library.link/vocab/creatorName
Garcia-Ojalvo, Jordi
Dewey number
530.1
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 6Wa70aHiPsU
  • qQYdEDV0wRc
Image bit depth
0
Language note
English
LC call number
QC19.2-20.85
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Sancho, Jose.
Series statement
Institute for Nonlinear Science,
http://library.link/vocab/subjectName
  • Distribution (Probability theory
  • Theoretical, Mathematical and Computational Physics
  • Probability Theory and Stochastic Processes
Label
Noise in Spatially Extended Systems, by Jordi Garcia-Ojalvo, Jose Sancho, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1 Introduction -- 1.1 Fluctuations in a Macroscopic World -- 1.2 Transitions in Zero-Dimensional Systems -- 1.3 Phase Transitions in d-Dimensional Systems -- 1.4 Pattern Formation -- 1.5 Other Effects of Noise in Extended Media -- 2 Fundamentals and Tools -- 2.1 Introduction to Stochastic Partial Differential Equations -- 2.2 Analytical Techniques -- 2.3 Numerical Techniques -- 3 Noise-Induced Phase Transitions -- 3.1 Additive Noise -- 3.2 Additive and Multiplicative Noise -- 3.3 Multiplicative Noise -- 4 Dynamics of Phase Transitions with Fluctuations -- 4.1 Internal Multiplicative Noise -- 4.2 Noise-Induced Phase Separation -- 5 Pattern Formation Under Multiplicative Noise -- 5.1 Multiplicative Noise in the Swift-Hohenberg Model -- 5.2 Pure Noise-Induced Patterns -- 6 Front Dynamics and External Fluctuations -- 6.1 External Fluctuations in Deterministic Fronts -- 6.2 Noise-Induced Fronts -- 6.3 Reactive Fronts under Turbulent Advection -- 7 Conclusions -- 7.1 What Has Been Done -- 7.2 What Needs to Be Done -- A Continuum and Discrete Space Descriptions -- A.1 Coarse Graining -- A.2 Continuum Limit and Functional Analysis -- B Fourier Transforms -- B.1 Continuum Fourier Transforms -- B.2 Discrete Fourier Transforms -- B.3 Discrete Fourier Transform of a Real Uncorrelated Field -- C Fokker—Planck Equation for an Additive Colored Noise -- D Colored Noise in a Linear Model -- E Fokker—Planck Equation for a Multiplicative Noise -- References
Dimensions
unknown
Edition
1st ed. 1999.
Extent
1 online resource (XIII, 307 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461215363
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-1536-3
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089590
  • (SSID)ssj0001245325
  • (PQKBManifestationID)11711642
  • (PQKBTitleCode)TC0001245325
  • (PQKBWorkID)11323063
  • (PQKB)10465955
  • (DE-He213)978-1-4612-1536-3
  • (MiAaPQ)EBC3076137
  • (EXLCZ)993400000000089590
Label
Noise in Spatially Extended Systems, by Jordi Garcia-Ojalvo, Jose Sancho, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1 Introduction -- 1.1 Fluctuations in a Macroscopic World -- 1.2 Transitions in Zero-Dimensional Systems -- 1.3 Phase Transitions in d-Dimensional Systems -- 1.4 Pattern Formation -- 1.5 Other Effects of Noise in Extended Media -- 2 Fundamentals and Tools -- 2.1 Introduction to Stochastic Partial Differential Equations -- 2.2 Analytical Techniques -- 2.3 Numerical Techniques -- 3 Noise-Induced Phase Transitions -- 3.1 Additive Noise -- 3.2 Additive and Multiplicative Noise -- 3.3 Multiplicative Noise -- 4 Dynamics of Phase Transitions with Fluctuations -- 4.1 Internal Multiplicative Noise -- 4.2 Noise-Induced Phase Separation -- 5 Pattern Formation Under Multiplicative Noise -- 5.1 Multiplicative Noise in the Swift-Hohenberg Model -- 5.2 Pure Noise-Induced Patterns -- 6 Front Dynamics and External Fluctuations -- 6.1 External Fluctuations in Deterministic Fronts -- 6.2 Noise-Induced Fronts -- 6.3 Reactive Fronts under Turbulent Advection -- 7 Conclusions -- 7.1 What Has Been Done -- 7.2 What Needs to Be Done -- A Continuum and Discrete Space Descriptions -- A.1 Coarse Graining -- A.2 Continuum Limit and Functional Analysis -- B Fourier Transforms -- B.1 Continuum Fourier Transforms -- B.2 Discrete Fourier Transforms -- B.3 Discrete Fourier Transform of a Real Uncorrelated Field -- C Fokker—Planck Equation for an Additive Colored Noise -- D Colored Noise in a Linear Model -- E Fokker—Planck Equation for a Multiplicative Noise -- References
Dimensions
unknown
Edition
1st ed. 1999.
Extent
1 online resource (XIII, 307 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461215363
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-1536-3
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089590
  • (SSID)ssj0001245325
  • (PQKBManifestationID)11711642
  • (PQKBTitleCode)TC0001245325
  • (PQKBWorkID)11323063
  • (PQKB)10465955
  • (DE-He213)978-1-4612-1536-3
  • (MiAaPQ)EBC3076137
  • (EXLCZ)993400000000089590

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