03454 a2200397 4500999001700000008004100017020001800058082001800076100001700094245006800111250001200179260002800191300003300219365002200252490003500274504004100309520221000350650002402560650002502584650002002609650002602629650002002655650002502675650002202700650001602722650002002738650002202758650002302780650002302803650001602826650002502842650002602867650002402893942001202917952012702929 c31031d31031220609b xxu||||| |||| 00| 0 eng d a9783030799489 a530.1595bBER aBertin, Eric aStatistical physics of complex systems : a concise introduction a3rd ed. bSpringer,c2021aCham : axvii, 291 p. ;bill.,c24 cm b69.99cEURd86.00 aSpringer Series in Synergetics aIncludes Bibliographical References. aThis course-tested primer provides graduate students and non-specialists with a basic understanding of the concepts and methods of statistical physics and demonstrates their wide range of applications to interdisciplinary topics in the field of complex system sciences, including selected aspects of theoretical modeling in biology and the social sciences. Generally speaking, the goals of statistical physics may be summarized as follows: on the one hand to study systems composed of a large number of interacting units, and on the other to predict the macroscopic, collective behavior of the system considered from the perspective of the microscopic laws governing the dynamics of the individual entities. These two goals are essentially also shared by what is now called 'complex systems science', and as such, systems studied in the framework of statistical physics may be considered to be among the simplest examples of complex systems – while also offering a rather well developed mathematical treatment. The second edition has been significantly revised and expanded, featuring in particular three new chapters addressing non-conserved particles, evolutionary population dynamics, networks, properties of both individual and coupled simple dynamical systems, and convergence theorems, as well as short appendices that offer helpful hints on how to perform simple stochastic simulations in practice. Yet, the original spirit of the book – to remain accessible to a broad, non-specialized readership – has been kept throughout: the format is a set of concise, modular and self-contained topical chapters, avoiding technicalities and jargon as much as possible, and complemented by a wealth of worked-out examples, so as to make this work useful as a self-study text or as textbook for short courses. From the reviews of the first edition: “… a good introduction to basic concepts of statistical physics and complex systems for students and researchers with an interest in complex systems in other fields … .” Georg Hebermehl, Zentralblatt MATH, Vol. 1237, 2012 “… this short text remains very refreshing for the mathematician.” Dimitri Petritis, Mathematical Reviews, Issue 2012k. aStatistical physics aPhysique statistique aComplex Systems aCentral limit theorem aComplex systems aCritical fixed point a Detailed balance aIsing model a Kuramoto model aLangevin equation a Levy distribution aPartition function aPhase space a Stochatic processes a Theoretical modeling aConvergence theorem 2ddccBK 00102ddc406530_159500000000000_BER70940874aDAIICTbDAIICTd2022-06-02g6019.14o530.1595 BERp033063r2022-06-09yBK