000 02757nam a22003858i 4500
001 CR9780511535291
003 UkCbUP
005 20200124160316.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090429s2008||||enk o ||1 0|eng|d
020 _a9780511535291 (ebook)
020 _z9780521895934 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
041 1 _aeng
_hfre
050 0 4 _aQC174.8
_b.C37 2008
082 0 0 _a003/.857
_222
100 1 _aCastiglione, Patrizia,
_d1968-
_eauthor.
245 1 0 _aChaos and coarse graining in statistical mechanics /
_cPatrizia Castiglione [and three others].
246 3 _aChaos & Coarse Graining in Statistical Mechanics
264 1 _aCambridge :
_bCambridge University Press,
_c2008.
300 _a1 online resource (x, 268 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aBasic 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.
520 _aWhile 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.
650 0 _aChaotic behavior in systems.
650 0 _aDynamics.
650 0 _aStatistical mechanics.
650 0 _aMathematical statistics.
776 0 8 _iPrint version:
_z9780521895934
856 4 0 _uhttps://doi.org/10.1017/CBO9780511535291
999 _c521516
_d521514