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Author : Joanna Cook
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (66 download)
Download or read book Directed Polymers in a Random Medium written by Joanna Cook and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joanna Cook
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (66 download)
Download or read book Directed Polymers in a Random Medium written by Joanna Cook and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francis Comets
Publisher : Springer
ISBN 13 : 3319504878
Total Pages : 210 pages
Book Rating : 4.3/5 (195 download)
Download or read book Directed Polymers in Random Environments written by Francis Comets and published by Springer. This book was released on 2017-01-26 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon. The main questionis: What does the path of a random walk look like if rewards and penalties are spatially randomly distributed?This model, which provides a simplified version of stretched elastic chains pinned by random impurities, has attracted much research activity, but it (and its relatives) still holds many secrets, especially in high dimensions. It has non-gaussian scaling limits and it belongs to the so-called KPZ universality class when the space is one-dimensional. Adopting a Gibbsian approach, using general and powerful tools from probability theory, the discrete model is studied in full generality. Presenting the state-of-the art from different perspectives, and written in the form of a first course on the subject, this monograph is aimed at researchers in probability or statistical physics, but is also accessible to masters and Ph.D. students.
Author : Alexei Borodin
Publisher :
ISBN 13 :
Total Pages : 73 pages
Book Rating : 4.:/5 (796 download)
Download or read book Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimensions written by Alexei Borodin and published by . This book was released on 2012 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Keum Yoon
Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.:/5 (346 download)
Download or read book Directed Polymers in Random Media and Kinetic Roughening in Interface Growth written by Keum Yoon and published by . This book was released on 1994 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John M. Noble
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (258 download)
Download or read book The Directed Polymer in a Random Environment written by John M. Noble and published by . This book was released on 1996 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bikas K. Chakrabarti
Publisher : Elsevier
ISBN 13 : 008046047X
Total Pages : 368 pages
Book Rating : 4.0/5 (84 download)
Download or read book Statistics of Linear Polymers in Disordered Media written by Bikas K. Chakrabarti and published by Elsevier. This book was released on 2005-06-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the mapping of the partition function graphs of the n-vector magnetic model in the n to 0 limit as the self-avoiding walks, the conformational statistics of linear polymers was clearly understood in early seventies. Various models of disordered solids, percolation model in particular, were also established by late seventies. Subsequently, investigations on the statistics of linear polymers or of self-avoiding walks in, say, porous medium or disordered lattices were started in early eighties. Inspite of the brilliant ideas forwarded and extensive studies made for the next two decades, the problem is not yet completely solved in its generality. This intriguing and important problem has remained since a topic of vigorous and active research. This book intends to offer the readers a first hand and extensive review of the various aspects of the problem, written by the experts in the respective fields. We hope, the contents of the book will provide a valuable guide for researchers in statistical physics of polymers and will surely induce further research and advances towards a complete understanding of the problem. First book on statistics of polymers in random media. Contents straight away from research labs. Chapters written by foremost experts in the respective fields. Theories, experiments and computer simulations extensively discussed. Includes latest developments in understanding related important topics like DNA unzipping, Travelling salesman problem, etc. Comprehensive index for quick search for keywords.
Author : Alexei Borodin
Publisher :
ISBN 13 :
Total Pages : 73 pages
Book Rating : 4.:/5 (17 download)
Download or read book Free Energy Fluctuations for Directed Polymers in Random Media in 1+1 Dimension written by Alexei Borodin and published by . This book was released on 2012 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Grégory Schehr
Publisher : Oxford University Press
ISBN 13 : 0192517864
Total Pages : 432 pages
Book Rating : 4.1/5 (925 download)
Download or read book Stochastic Processes and Random Matrices written by Grégory Schehr and published by Oxford University Press. This book was released on 2017-08-15 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of stochastic processes and Random Matrix Theory (RMT) has been a rapidly evolving subject during the last fifteen years. The continuous development and discovery of new tools, connections and ideas have led to an avalanche of new results. These breakthroughs have been made possible thanks, to a large extent, to the recent development of various new techniques in RMT. Matrix models have been playing an important role in theoretical physics for a long time and they are currently also a very active domain of research in mathematics. An emblematic example of these recent advances concerns the theory of growth phenomena in the Kardar-Parisi-Zhang (KPZ) universality class where the joint efforts of physicists and mathematicians during the last twenty years have unveiled the beautiful connections between this fundamental problem of statistical mechanics and the theory of random matrices, namely the fluctuations of the largest eigenvalue of certain ensembles of random matrices. This text not only covers this topic in detail but also presents more recent developments that have emerged from these discoveries, for instance in the context of low dimensional heat transport (on the physics side) or integrable probability (on the mathematical side).
Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
ISBN 13 : 0821868632
Total Pages : 481 pages
Book Rating : 4.8/5 (218 download)
Download or read book Probability and Statistical Physics in Two and More Dimensions written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2012 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of lecture notes for six of the ten courses given in Buzios, Brazil by prominent probabilists at the 2010 Clay Mathematics Institute Summer School, ``Probability and Statistical Physics in Two and More Dimensions'' and at the XIV Brazilian School of Probability. In the past ten to fifteen years, various areas of probability theory related to statistical physics, disordered systems and combinatorics have undergone intensive development. A number of these developments deal with two-dimensional random structures at their critical points, and provide new tools and ways of coping with at least some of the limitations of Conformal Field Theory that had been so successfully developed in the theoretical physics community to understand phase transitions of two-dimensional systems. Included in this selection are detailed accounts of all three foundational courses presented at the Clay school--Schramm-Loewner Evolution and other Conformally Invariant Objects, Noise Sensitivity and Percolation, Scaling Limits of Random Trees and Planar Maps--together with contributions on Fractal and Multifractal properties of SLE and Conformal Invariance of Lattice Models. Finally, the volume concludes with extended articles based on the courses on Random Polymers and Self-Avoiding Walks given at the Brazilian School of Probability during the final week of the school. Together, these notes provide a panoramic, state-of-the-art view of probability theory areas related to statistical physics, disordered systems and combinatorics. Like the lectures themselves, they are oriented towards advanced students and postdocs, but experts should also find much of interest.
Author : Alain-Sol Sznitman
Publisher : Springer Science & Business Media
ISBN 13 : 3662112817
Total Pages : 366 pages
Book Rating : 4.6/5 (621 download)
Download or read book Brownian Motion, Obstacles and Random Media written by Alain-Sol Sznitman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an account for the non-specialist of the circle of ideas, results and techniques, which grew out in the study of Brownian motion and random obstacles. It also includes an overview of known results and connections with other areas of random media, taking a highly original and personal approach throughout.
Author : Luciano Pietronero
Publisher : Springer
ISBN 13 : 1489934995
Total Pages : 356 pages
Book Rating : 4.4/5 (899 download)
Download or read book Fractals’ Physical Origin and Properties written by Luciano Pietronero and published by Springer. This book was released on 2013-12-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.
Author : Jacques Azéma
Publisher : Springer
ISBN 13 : 3540361073
Total Pages : 507 pages
Book Rating : 4.5/5 (43 download)
Download or read book Séminaire de Probabilités XXXVI written by Jacques Azéma and published by Springer. This book was released on 2004-10-21 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 36th Sminaire de Probabilits contains an advanced course on Logarithmic Sobolev Inequalities by A. Guionnet and B. Zegarlinski, as well as two shorter surveys by L. Pastur and N. O'Connell on the theory of random matrices and their links with stochastic processes. The main themes of the other contributions are Logarithmic Sobolev Inequalities, Stochastic Calculus, Martingale Theory and Filtrations. Besides the traditional readership of the Sminaires, this volume will be useful to researchers in statistical mechanics and mathematical finance.
Author : Ron Elber
Publisher : World Scientific
ISBN 13 : 9814500720
Total Pages : 411 pages
Book Rating : 4.8/5 (145 download)
Download or read book Recent Developments In Theoretical Studies Of Proteins written by Ron Elber and published by World Scientific. This book was released on 1996-10-16 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experts provide a unique and broad perspective of the theoretical tools available today to analyze protein structure and function. Topics at the frontier of computational biophysics, such as dynamics and thermodynamics of proteins, reaction path studies, optimization techniques, analytical theories of protein folding, sequence alignment algorithms and electrostatics of proteins are discussed in a pedagogical and complete way. Those entering the field will find the book to be a useful introduction. It will also serve as a complementary text to existing ones that focus on just one of the above subjects.
Author : Mark Fannes
Publisher : Springer Science & Business Media
ISBN 13 : 1461524601
Total Pages : 467 pages
Book Rating : 4.4/5 (615 download)
Download or read book On Three Levels written by Mark Fannes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.
Author : G.R. Grimmett
Publisher : Springer Science & Business Media
ISBN 13 : 9401583269
Total Pages : 334 pages
Book Rating : 4.4/5 (15 download)
Download or read book Probability and Phase Transition written by G.R. Grimmett and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.
Author : Fereydoon Family
Publisher : World Scientific
ISBN 13 : 9789810207212
Total Pages : 496 pages
Book Rating : 4.2/5 (72 download)
Download or read book Dynamics of Fractal Surfaces written by Fereydoon Family and published by World Scientific. This book was released on 1991 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years there has been an explosion of activity in the field of the dynamics of fractal surfaces, which, through the convergence of important new results from computer simulations, analytical theories and experiments, has led to significant advances in our understanding of nonequilibrium surface growth phenomena. This interest in surface growth phenomena has been motivated largely by the fact that a wide variety of natural and industrial processes lead to the formation of rough surfaces and interfaces. This book presents these developments in a single volume by bringing together the works containing the most important results in the field.The material is divided into chapters consisting of reprints related to a single major topic. Each chapter has a general introduction to a particular aspect of growing fractal surfaces. These introductory parts are included in order to provide a scientific background to the papers reproduced in the main part of the chapters. They are written in a pedagogical style and contain only the most essential information. The contents of the reprints are made more accessible to the reader as they are preceded by a short description of what the editors find to be the most significant results in the paper.
