Nonequilibrium Problems In Many Particle Systems
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Author | : Carlo Cercignani |
Publisher | : Springer |
Total Pages | : 153 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540478329 |
This volume contains the text of four sets of lectures delivered at the third session of the Summer School organized by C.I.M.E. (Centro Internazionale Matematico Estivo). These texts are preceded by an introduction written by C. Cercignani and M. Pulvirenti which summarizes the present status in the area of Nonequilibrium Problems in Many-Particle Systems and tries to put the contents of the different sets of lectures in the right perspective, in order to orient the reader. The lectures deal with the global existence of weak solutions for kinetic models and related topics, the basic concepts of non-standard analysis and their application to gas kinetics, the kinetic equations for semiconductors and the entropy methods in the study of hydrodynamic limits. CONTENTS: C. Cercignani, M. Pulvirenti: Nonequilibrium Problems in Many-Particle Systems. An Introduction.- L. Arkeryd: Some Examples of NSA in Kinetic Theory.- P.L. Lions: Global Solutions of Kinetic Models and Related Problems.- P.A. Markowich: Kinetic Models for Semiconductors.- S.R.S. Varadhan: Entropy Methods in Hydrodynamic Scaling.
Author | : Centro internazionale matematico estivo. Session |
Publisher | : |
Total Pages | : 158 |
Release | : 1993 |
Genre | : |
ISBN | : |
Author | : Gianluca Stefanucci |
Publisher | : Cambridge University Press |
Total Pages | : 619 |
Release | : 2013-03-07 |
Genre | : Mathematics |
ISBN | : 0521766176 |
A pedagogical introduction to nonequilibrium theory, time-dependent phenomena and excited state properties, for graduate students and researchers.
Author | : L. Arkeryd |
Publisher | : |
Total Pages | : 0 |
Release | : 1993 |
Genre | : |
ISBN | : 9780387569451 |
Author | : Carlo Cercignani |
Publisher | : |
Total Pages | : 172 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783662197134 |
Author | : Werner Balser |
Publisher | : Springer |
Total Pages | : 124 |
Release | : 1994-08-29 |
Genre | : Mathematics |
ISBN | : 9783540582687 |
Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
Author | : Mu-fa Chen |
Publisher | : World Scientific |
Total Pages | : 610 |
Release | : 2004-03-23 |
Genre | : Science |
ISBN | : 9814482900 |
This book is representative of the work of Chinese probabilists on probability theory and its applications in physics. It presents a unique treatment of general Markov jump processes: uniqueness, various types of ergodicity, Markovian couplings, reversibility, spectral gap, etc. It also deals with a typical class of non-equilibrium particle systems, including the typical Schlögl model taken from statistical physics. The constructions, ergodicity and phase transitions for this class of Markov interacting particle systems, namely, reaction-diffusion processes, are presented. In this new edition, a large part of the text has been updated and two-and-a-half chapters have been rewritten. The book is self-contained and can be used in a course on stochastic processes for graduate students.
Author | : Alexander Leonidovich Kuzemsky |
Publisher | : World Scientific |
Total Pages | : 1259 |
Release | : 2017-02-24 |
Genre | : Science |
ISBN | : 981314565X |
The book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.
Author | : Dmitrii Zubarev |
Publisher | : Wiley-VCH |
Total Pages | : 0 |
Release | : 1996-06-13 |
Genre | : Science |
ISBN | : 9783527400836 |
This is the first part of a two-volume textbook on the modern statistical theory of nonequilibrium processes. In distinction to currently available textbooks and monographs on this subject, the presentation of a wide range of nonequilibrium phenomena in many-particle systems is based on the unified approach which is a natural extension of the method of Gibbs ensembles to the nonequilibrium case. The general method of nonequilibrium ensembles is applied to describe kinetic processes in classical and quantum systems. In addition to standard examples, topical problems of the modern kinetic theory are considered, including many-particle effects in classical kinetics, non-Markovian kinetic equations for plasmas, and quantum kinetic processes in the presence of strong external fields. Exercises and problems for readers are also included. The book is self-contained and accessible to students having read the standard course in statistical physics. It is also of interest for specialists working in solid state physics, chemical physics, and physics of plasma and fluids.
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 1993 |
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