The Resource Mathematical Theory of Nonequilibrium Steady States : On the Frontier of Probability and Dynamical Systems, by Da-Quan Jiang, Min Qian, Ming-Ping Qian, (electronic resource)

Mathematical Theory of Nonequilibrium Steady States : On the Frontier of Probability and Dynamical Systems, by Da-Quan Jiang, Min Qian, Ming-Ping Qian, (electronic resource)

Label
Mathematical Theory of Nonequilibrium Steady States : On the Frontier of Probability and Dynamical Systems
Title
Mathematical Theory of Nonequilibrium Steady States
Title remainder
On the Frontier of Probability and Dynamical Systems
Statement of responsibility
by Da-Quan Jiang, Min Qian, Ming-Ping Qian
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
This volume provides a systematic mathematical exposition of the conceptual problems of nonequilibrium statistical physics, such as entropy production, irreversibility, and ordered phenomena. Markov chains, diffusion processes, and hyperbolic dynamical systems are used as mathematical models of physical systems. A measure-theoretic definition of entropy production rate and its formulae in various cases are given. It vanishes if and only if the stationary system is reversible and in equilibrium. Moreover, in the cases of Markov chains and diffusion processes on manifolds, it can be expressed in terms of circulations on directed cycles. Regarding entropy production fluctuations, the Gallavotti-Cohen fluctuation theorem is rigorously proved
Member of
http://library.link/vocab/creatorName
Jiang, Da-Quan
Dewey number
  • 536/.7
  • 510 s
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • EHGuYok2Z2w
  • LY61KBvWdM8
  • DPOA_Oh2dG0
Image bit depth
0
Language note
English
LC call number
  • QA273.A1-274.9
  • QA274-274.9
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Qian, Min.
  • Qian, Ming-Ping.
Series statement
Lecture Notes in Mathematics,
Series volume
1833
http://library.link/vocab/subjectName
  • Distribution (Probability theory
  • Differentiable dynamical systems
  • Global analysis
  • Statistical physics
  • Probability Theory and Stochastic Processes
  • Dynamical Systems and Ergodic Theory
  • Global Analysis and Analysis on Manifolds
  • Complex Systems
  • Statistical Physics and Dynamical Systems
Label
Mathematical Theory of Nonequilibrium Steady States : On the Frontier of Probability and Dynamical Systems, by Da-Quan Jiang, Min Qian, Ming-Ping Qian, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Preface -- Introduction -- Circulation Distribution, Entropy Production and Irreversibility of Denumerable Markov Chains -- Circulation Distribution, Entropy Production and Irreversibility of Finite Markov Chains with Continuous Parameter -- General Minimal Diffusion Process: its Construction, Invariant Measure, Entropy Production and Irreversibility -- Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theorem -- Entropy Production, Rotation Numbers and Irreversibility of Diffusion Processes on Manifolds -- On a System of Hyperstable Frequency Locking Persistence under White Noise -- Entropy Production and Information Gain in Axiom A Systems -- Lyapunov Exponents of Hyperbolic Attractors -- Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems -- References -- Index
Dimensions
unknown
Edition
1st ed. 2004.
Extent
1 online resource (X, 286 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540409571
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/b94615
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000230915
  • (SSID)ssj0000324699
  • (PQKBManifestationID)11251062
  • (PQKBTitleCode)TC0000324699
  • (PQKBWorkID)10332243
  • (PQKB)10749103
  • (DE-He213)978-3-540-40957-1
  • (EXLCZ)991000000000230915
Label
Mathematical Theory of Nonequilibrium Steady States : On the Frontier of Probability and Dynamical Systems, by Da-Quan Jiang, Min Qian, Ming-Ping Qian, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Preface -- Introduction -- Circulation Distribution, Entropy Production and Irreversibility of Denumerable Markov Chains -- Circulation Distribution, Entropy Production and Irreversibility of Finite Markov Chains with Continuous Parameter -- General Minimal Diffusion Process: its Construction, Invariant Measure, Entropy Production and Irreversibility -- Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theorem -- Entropy Production, Rotation Numbers and Irreversibility of Diffusion Processes on Manifolds -- On a System of Hyperstable Frequency Locking Persistence under White Noise -- Entropy Production and Information Gain in Axiom A Systems -- Lyapunov Exponents of Hyperbolic Attractors -- Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems -- References -- Index
Dimensions
unknown
Edition
1st ed. 2004.
Extent
1 online resource (X, 286 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540409571
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/b94615
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000230915
  • (SSID)ssj0000324699
  • (PQKBManifestationID)11251062
  • (PQKBTitleCode)TC0000324699
  • (PQKBWorkID)10332243
  • (PQKB)10749103
  • (DE-He213)978-3-540-40957-1
  • (EXLCZ)991000000000230915

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...