Atjaunināt sīkdatņu piekrišanu

Chaos and Coarse Graining in Statistical Mechanics [Hardback]

4.75/5 (7 ratings by Goodreads)
(Universitą degli Studi di Roma 'La Sapienza', Italy), , (Centre National de la Recherche Scientifique (CNRS), Paris), (Universitą degli Studi di Roma 'La Sapienza', Italy)
  • Formāts: Hardback, 280 pages, height x width x depth: 253x180x12 mm, weight: 700 g, 35 Line drawings, unspecified
  • Izdošanas datums: 21-Aug-2008
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 0521895936
  • ISBN-13: 9780521895934
Citas grāmatas par šo tēmu:
  • Hardback
  • Cena: 171,76 €
  • Grāmatu piegādes laiks ir 3-4 nedēļas, ja grāmata ir uz vietas izdevniecības noliktavā. Ja izdevējam nepieciešams publicēt jaunu tirāžu, grāmatas piegāde var aizkavēties.
  • Daudzums:
  • Ielikt grozā
  • Piegādes laiks - 4-6 nedēļas
  • Pievienot vēlmju sarakstam
Chaos and Coarse Graining in Statistical MechanicsPalielināt
  • Formāts: Hardback, 280 pages, height x width x depth: 253x180x12 mm, weight: 700 g, 35 Line drawings, unspecified
  • Izdošanas datums: 21-Aug-2008
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 0521895936
  • ISBN-13: 9780521895934
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9780521895934.html
Keywords:
Presents concepts of chaotic systems for researchers and graduate students in statistical mechanics and chaos.

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.

Recenzijas

'This is an excellent book written in highly polished fashion by four experts in the fields of dynamical systems and statistical mechanics. discussions are clear and forthright and no attempt is made to obfuscate or to hide things under a rug This is an excellent book for experts in the field and would provide a provocative textbook for graduate students. I couldn't find any typos or misstatements ' Journal of Statistical Physics

Papildus informācija

Presents concepts of chaotic systems for researchers and graduate students in statistical mechanics and chaos.
Preface vii
Basic concepts of dynamical systems theory
1(23)
Deterministic Systems
1(6)
Unpredictability: Systems with many degrees of freedom
7(5)
Unpredictability: deterministic chaos
12(4)
Probabilistic: aspects of dynamical systems
16(8)
References
23(1)
Dynamical indicators for chaotic systems: Lyapunov exponents , entropies and beyond
24(34)
Dynamical systems approach
25(3)
Information theory approach
28(16)
Beyond the Lyapunov exponents and the Kolmogorov-Sinai entropy
44(14)
References
54(4)
Coarse graining, entropies and Lyapunov exponents at work
58(34)
Characterization of the complexity and system modeling
58(13)
How random is a random number generator?
71(8)
Lyapunov exponents and complexity in dynamical systems with noise
79(9)
Conclusions
88(4)
References
89(3)
Foundation of statistical mechanics and dynamical systems
92(28)
The ergodic problem: a brief random walk among an intricate history
93(4)
Beyond abstract ergodic theory
97(6)
The connection between analytical mechanics and the ergodic problem
103(3)
An unexpected result revitalizes interest in the ergodic problem
106(3)
Some modern developments
109(5)
On the role of chaos in statistical mechanics
114(2)
Some general remarks
116(4)
References
117(3)
On the origin of irreversibility
120(30)
The problem
120(2)
Toward the solution
122(8)
Some results
130(10)
About ensembles, the number of degrees of freedom and chaos
140(10)
References
148(2)
The role of chaos in non-equilibrium statistical mechanics
150(35)
On the connection between the Kolmogorov-Sinai entropy and production rate of the coarse-grained Gibbs entropy
152(7)
Gibbs and Boltzmann entroppies: the role of chaos , interaction and coarse graining
159(8)
Fluctuation-response relation and chaos
167(7)
Chaos and pseudochaos for diffusion and conduction
174(6)
Remarks and perspectives
180(5)
Refereces
182(3)
Coarse-graining equations in complex systems
185(32)
A short parenthesis: secular terms and multiscale analysis
187(2)
From molecular level to Brownian motion
189(9)
Diffusion at large scale and eddy diffusivity
198(5)
The adiabatic piston: a system between the microscopic and macrocopic realms
203(7)
Remarks and perspectives
210(7)
References
215(2)
Renormalization-group approaches
217(49)
Renormalization group(s): a brief overview
218(2)
Renormalization groups to cure singular pertubation expansions
220(5)
A multiscale and constructive approach to capture critical behavior
225(11)
Renormalization groups: a multiscale approach for asymptotic analysis
236(7)
Probabilitic viewpoint on renormalization groups
243(19)
Conclusions and perspectives
262(4)
References
264(2)
Index 266
Patrizia Castiglione is a Researcher at the Institut des Nanosciences de Paris. Her main research topics are dynamical systems theory, quantum and classic chaos, turbulence, and the physics of colours applied to the study of artwork. Massimo Falcioni is a Researcher at the University of Rome 'Sapienza'. His research focuses on elementary particle physics, dynamical systems and statistical mechanics. Annick Lesne is a Researcher at the Institut des Hautes Etudes Scientifiques. Her research lies in renormalization methods for dynamical systems, non equilibrium statistical physics, and applications of dynamical systems theory and statistical mechanics to biological systems. Angelo Vulpiani is a Professor of Theoretical Physics at the University of Rome Sapienza, and is a Fellow of the Institute of Physics. His research interests are statistical mechanics, dynamical systems, turbulence, transport and reaction-diffusion in fluids.