Chaos and Coarse Graining in Statistical Mechanics /:
While statistical mechanics describe the equilibrium state of systems with many degrees of freedom, and dynamical systems explain the irregular evolution of systems with few degrees of freedom, new tools are needed to study the evolution of systems with many degrees of freedom. This book presents th...
Gespeichert in:
| Körperschaft: | |
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| Weitere Verfasser: | , , , |
| Format: | Elektronisch E-Book |
| Sprache: | English French |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2008.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | While statistical mechanics describe the equilibrium state of systems with many degrees of freedom, and dynamical systems explain the irregular evolution of systems with few degrees of freedom, new tools are needed to study the evolution of systems with many degrees of freedom. This book presents the basic aspects of chaotic systems, with emphasis on systems composed by huge numbers of particles. Firstly, the basic concepts of chaotic dynamics are introduced, moving on to explore the role of ergodicity and chaos for the validity of statistical laws, and ending with problems characterized by the presence of more than one significant scale. Also discussed is the relevance of many degrees of freedom, coarse graining procedure, and instability mechanisms in justifying a statistical description of macroscopic bodies. Introducing the tools to characterize the non asymptotic behaviors of chaotic systems, this text will interest researchers and graduate students in statistical mechanics and chaos. |
| Beschreibung: | 1 online resource (280 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511535291 0511535295 9780511424298 0511424299 0511423810 9780511423819 9780511423307 0511423306 |
Internformat
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| 520 | |a While statistical mechanics describe the equilibrium state of systems with many degrees of freedom, and dynamical systems explain the irregular evolution of systems with few degrees of freedom, new tools are needed to study the evolution of systems with many degrees of freedom. This book presents the basic aspects of chaotic systems, with emphasis on systems composed by huge numbers of particles. Firstly, the basic concepts of chaotic dynamics are introduced, moving on to explore the role of ergodicity and chaos for the validity of statistical laws, and ending with problems characterized by the presence of more than one significant scale. Also discussed is the relevance of many degrees of freedom, coarse graining procedure, and instability mechanisms in justifying a statistical description of macroscopic bodies. Introducing the tools to characterize the non asymptotic behaviors of chaotic systems, this text will interest researchers and graduate students in statistical mechanics and chaos. | ||
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| 700 | 1 | |a Vulpiani, Angelo. | |
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| contents | Basic concepts of dynamical systems theory -- Dynamical indicators for chaotic systems: Lyapunov exponents, entropies and beyond -- Coarse graining, entropies and Lyapunov exponents at work -- Foundation of statistical mechanics and dynamical systems -- On the origin of irreversibility -- The role of chaos in non-equilibrium statistical mechanics -- Coarse-graining equations in complex systems -- Renormalization-group approaches. |
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| indexdate | 2024-10-25T16:17:50Z |
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| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Chaos and Coarse Graining in Statistical Mechanics / Patrizia Castiglione, Massimo Falcioni, Annick Lesne, Angelo Vulpiani. Cambridge : Cambridge University Press, 2008. 1 online resource (280 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. While statistical mechanics describe the equilibrium state of systems with many degrees of freedom, and dynamical systems explain the irregular evolution of systems with few degrees of freedom, new tools are needed to study the evolution of systems with many degrees of freedom. This book presents the basic aspects of chaotic systems, with emphasis on systems composed by huge numbers of particles. Firstly, the basic concepts of chaotic dynamics are introduced, moving on to explore the role of ergodicity and chaos for the validity of statistical laws, and ending with problems characterized by the presence of more than one significant scale. Also discussed is the relevance of many degrees of freedom, coarse graining procedure, and instability mechanisms in justifying a statistical description of macroscopic bodies. Introducing the tools to characterize the non asymptotic behaviors of chaotic systems, this text will interest researchers and graduate students in statistical mechanics and chaos. Basic concepts of dynamical systems theory -- Dynamical indicators for chaotic systems: Lyapunov exponents, entropies and beyond -- Coarse graining, entropies and Lyapunov exponents at work -- Foundation of statistical mechanics and dynamical systems -- On the origin of irreversibility -- The role of chaos in non-equilibrium statistical mechanics -- Coarse-graining equations in complex systems -- Renormalization-group approaches. Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Statistical mechanics. http://id.loc.gov/authorities/subjects/sh85127571 Mathematical statistics. http://id.loc.gov/authorities/subjects/sh85082133 Chaos. Dynamique. Mécanique statistique. kinetics (dynamics) aat SCIENCE Chaotic Behavior in Systems. bisacsh Chaotic behavior in systems fast Dynamics fast Mathematical statistics fast Statistical mechanics fast Castiglione, Patrizia. Falcioni, Massimo. Lesne, Annick. Vulpiani, Angelo. Cambridge University Press. http://id.loc.gov/authorities/names/n50059133 Cambridge books online. has work: Chaos and coarse graining in statistical mechanics (Text) https://id.oclc.org/worldcat/entity/E39PCFB74B88GkJQtMmTRtc4G3 https://id.oclc.org/worldcat/ontology/hasWork Print version: 9780521895934 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=244526 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=244526 Volltext |
| spellingShingle | Chaos and Coarse Graining in Statistical Mechanics / Basic concepts of dynamical systems theory -- Dynamical indicators for chaotic systems: Lyapunov exponents, entropies and beyond -- Coarse graining, entropies and Lyapunov exponents at work -- Foundation of statistical mechanics and dynamical systems -- On the origin of irreversibility -- The role of chaos in non-equilibrium statistical mechanics -- Coarse-graining equations in complex systems -- Renormalization-group approaches. Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Statistical mechanics. http://id.loc.gov/authorities/subjects/sh85127571 Mathematical statistics. http://id.loc.gov/authorities/subjects/sh85082133 Chaos. Dynamique. Mécanique statistique. kinetics (dynamics) aat SCIENCE Chaotic Behavior in Systems. bisacsh Chaotic behavior in systems fast Dynamics fast Mathematical statistics fast Statistical mechanics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85022562 http://id.loc.gov/authorities/subjects/sh85040316 http://id.loc.gov/authorities/subjects/sh85127571 http://id.loc.gov/authorities/subjects/sh85082133 |
| title | Chaos and Coarse Graining in Statistical Mechanics / |
| title_alt | Cambridge books online. |
| title_auth | Chaos and Coarse Graining in Statistical Mechanics / |
| title_exact_search | Chaos and Coarse Graining in Statistical Mechanics / |
| title_full | Chaos and Coarse Graining in Statistical Mechanics / Patrizia Castiglione, Massimo Falcioni, Annick Lesne, Angelo Vulpiani. |
| title_fullStr | Chaos and Coarse Graining in Statistical Mechanics / Patrizia Castiglione, Massimo Falcioni, Annick Lesne, Angelo Vulpiani. |
| title_full_unstemmed | Chaos and Coarse Graining in Statistical Mechanics / Patrizia Castiglione, Massimo Falcioni, Annick Lesne, Angelo Vulpiani. |
| title_short | Chaos and Coarse Graining in Statistical Mechanics / |
| title_sort | chaos and coarse graining in statistical mechanics |
| topic | Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Statistical mechanics. http://id.loc.gov/authorities/subjects/sh85127571 Mathematical statistics. http://id.loc.gov/authorities/subjects/sh85082133 Chaos. Dynamique. Mécanique statistique. kinetics (dynamics) aat SCIENCE Chaotic Behavior in Systems. bisacsh Chaotic behavior in systems fast Dynamics fast Mathematical statistics fast Statistical mechanics fast |
| topic_facet | Chaotic behavior in systems. Dynamics. Statistical mechanics. Mathematical statistics. Chaos. Dynamique. Mécanique statistique. kinetics (dynamics) SCIENCE Chaotic Behavior in Systems. Chaotic behavior in systems Dynamics Mathematical statistics Statistical mechanics |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=244526 |
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