Mathematical Problems Of Statistical Mechanics And Dyanamics
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Mathematical Problems Of Statistical Mechanics
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Author : IAkov Grigorevich Sinai
language : en
Publisher: World Scientific
Release Date : 1991
Mathematical Problems Of Statistical Mechanics written by IAkov Grigorevich Sinai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
This text consists of very high quality articles which not only give a very good account of the field of statistical mechanics in the Soviet Union, but also provide stimulating materials for researchers working on this topic.
Mathematics And Its Applications Soviet Series
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Author : R.L. Dobrushin
language : en
Publisher:
Release Date : 1983
Mathematics And Its Applications Soviet Series written by R.L. Dobrushin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Statistical Mechanics Of Classical And Disordered Systems
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Author : Véronique Gayrard
language : en
Publisher: Springer Nature
Release Date : 2019-09-15
Statistical Mechanics Of Classical And Disordered Systems written by Véronique Gayrard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-15 with Mathematics categories.
These proceedings of the conference Advances in Statistical Mechanics, held in Marseille, France, August 2018, focus on fundamental issues of equilibrium and non-equilibrium dynamics for classical mechanical systems, as well as on open problems in statistical mechanics related to probability, mathematical physics, computer science, and biology. Statistical mechanics, as envisioned more than a century ago by Boltzmann, Maxwell and Gibbs, has recently undergone stunning twists and developments which have turned this old discipline into one of the most active areas of truly interdisciplinary and cutting-edge research. The contributions to this volume, with their rather unique blend of rigorous mathematics and applications, outline the state-of-the-art of this success story in key subject areas of equilibrium and non-equilibrium classical and quantum statistical mechanics of both disordered and non-disordered systems. Aimed at researchers in the broad field of applied modern probability theory, this book, and in particular the review articles, will also be of interest to graduate students looking for a gentle introduction to active topics of current research.
Mathematical Problems Of Statistical Mechanics
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Author : Yakov Grigor'evich Sinai
language : en
Publisher:
Release Date : 1991
Mathematical Problems Of Statistical Mechanics written by Yakov Grigor'evich Sinai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Mathematical Problems Of Statistical Mechanics And Dyanamics
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Author : R.L. Dobrushin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Problems Of Statistical Mechanics And Dyanamics written by R.L. Dobrushin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Approach your problems from the It isn't that they can't see the solution. right end and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as 'experimental mathematics', 'CFD', 'completely integrable systems', 'chaos, synergetics and large-scale order', which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Contemporary Problems In Statistical Physics
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Author : George H. Weiss
language : en
Publisher: SIAM
Release Date : 1994-01-01
Contemporary Problems In Statistical Physics written by George H. Weiss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Science categories.
This collection of independent articles describes some mathematical problems recently developed in statistical physics and theoretical chemistry. The book introduces and reviews current research on such topics as nonlinear systems and colored noise, stochastic resonance, percolation, the trapping problem in the theory of random walks, and diffusive models for chemical kinetics. Some of these topics have never before been presented in expository book form. Applied mathematicians will be introduced to some contemporary problems in statistical physics. In addition, a number of unsolved problems currently attracting intensive research efforts are described.
Mathematical Foundations Of Classical Statistical Mechanics
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Author : D.Ya. Petrina
language : en
Publisher: CRC Press
Release Date : 2002-04-11
Mathematical Foundations Of Classical Statistical Mechanics written by D.Ya. Petrina and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-11 with Science categories.
This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov equations for the sequences of correlation functions in the thermodynamic limit. This is the first detailed investigation of the thermodynamic limit for non-equilibrium systems and of the states of infinite systems in the cases of both canonical and grand canonical ensembles, for which the thermodynamic equivalence is proved. A comprehensive survey of results is also included; it concerns the properties of correlation functions for infinite systems and the corresponding equations. For this new edition, the authors have made changes to reflect the development of theory in the last ten years. They have also simplified certain sections, presenting them more systematically, and greatly increased the number of references. The book is aimed at theoretical physicists and mathematicians and will also be of use to students and postgraduate students in the field.
Problems Of Dynamic Theory In Statistical Physics
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Author : Nikolaĭ Nikolaevich Bogoli︠u︡bov
language : en
Publisher:
Release Date : 1960
Problems Of Dynamic Theory In Statistical Physics written by Nikolaĭ Nikolaevich Bogoli︠u︡bov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Dynamics categories.
Mathematical Problems Of Statistical Hydromechanics
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Author : M.I. Vishik
language : en
Publisher: Springer Science & Business Media
Release Date : 1988-05-31
Mathematical Problems Of Statistical Hydromechanics written by M.I. Vishik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-05-31 with Mathematics categories.
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The ScandiJI of Father 'The Hermit Clad in Crane Feathers' in R. Brow" 'The point of a Pin'. van Gu\ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Geometry And Topology In Hamiltonian Dynamics And Statistical Mechanics
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Author : Marco Pettini
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-14
Geometry And Topology In Hamiltonian Dynamics And Statistical Mechanics written by Marco Pettini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-14 with Mathematics categories.
This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The author focuses on two main areas: Riemannian formulation of Hamiltonian dynamics, providing an original viewpoint about the relationship between geodesic instability and curvature properties of the mechanical manifolds; and a topological theory of thermodynamic phase transitions, relating topology changes of microscopic configuration space with the generation of singularities of thermodynamic observables. The book contains numerous illustrations throughout and it will interest both mathematicians and physicists.