000			a
999			_c31031 _d31031
008			220609b xxu||||| |||| 00| 0 eng d
020			_a9783030799489
082			_a530.1595 _bBER
100			_aBertin, Eric
245			_aStatistical physics of complex systems : a concise introduction
250			_a3rd ed.
260			_bSpringer, _c2021 _aCham :
300			_axvii, 291 p. ; _bill., _c24 cm
365			_b69.99 _cEUR _d86.00
490			_aSpringer Series in Synergetics
504			_aIncludes Bibliographical References.
520			_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.
650			_aStatistical physics
650			_aPhysique statistique
650			_aComplex Systems
650			_aCentral limit theorem
650			_aComplex systems
650			_aCritical fixed point
650			_a Detailed balance
650			_aIsing model
650			_a Kuramoto model
650			_aLangevin equation
650			_a Levy distribution
650			_aPartition function
650			_aPhase space
650			_a Stochatic processes
650			_a Theoretical modeling
650			_aConvergence theorem
942			_2ddc _cBK