Perspectives On Solvable Models

Perspectives On Solvable Models
Author: Michael Baake
Publisher: World Scientific
Total Pages: 311
Release: 1995-01-23
Genre: Science
ISBN: 9814501042

This volume consists of a collection of recent research articles dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory. The list of contributing authors contains altogether 34 names, including among others, Baxter, Cardy, Itzykson, Martin, McCoy, Nahm, Pearce and de Vega.

Exactly Soluble Models In Statistical Mechanics - Historical Perspectives And Current Status

Exactly Soluble Models In Statistical Mechanics - Historical Perspectives And Current Status
Author: Christopher King
Publisher: World Scientific
Total Pages: 234
Release: 1997-02-26
Genre:
ISBN: 9814546593

This volume contains the proceedings of the conference on 'Exactly Soluble Models in Statistical Mechanics: Historical Perspectives and Current Status', held at Northeastern University in March 1996 — the first ever conference to deal exclusively with this topic. Besides invited presentations by leading researchers in the field, the conference held a session of contributed papers by participants from throughout the world. The proceedings, which include both the invited and the contributed papers, reflect the broad range of interest in exactly soluble models as well as the diverse fields in physics and mathematics that they connect. Apart from providing concise and timely reviews, the papers in this volume give a snapshot of the current state of affairs. The topics covered range from a historical survey of the field (by E H Lieb) to the latest formulation of a star-star transformation of spin models (by R J Baxter).

Quasicrystals - Proceedings Of The 5th International Conference

Quasicrystals - Proceedings Of The 5th International Conference
Author: C Janot
Publisher: World Scientific
Total Pages: 856
Release: 1995-12-22
Genre:
ISBN: 9814548650

These proceedings cover topics related to Quasicrystals, including tiling descriptions, high dimensional crystallography, structure studies, metallurgy and phase diagrams, and also properties with special emphasis on dynamics, electronic and mechanical behaviour. For the first time, materials made of metals only that behave as insulators are presented. For the first time also application focused research and processing of Quasicrystalline materials are addressed.Invited speakers: J Friedel, D Shechtman, M Baake, D Basov, C Berger, M de Boissieu, T Fujiwara, S Khanna, Y Meyer, S J Poon, C Sire, H Trebin, A P Tsai, M Widdom, M Wollgarten, Z Zhang.

Thermodynamics of One-Dimensional Solvable Models

Thermodynamics of One-Dimensional Solvable Models
Author: Minoru Takahashi
Publisher: Cambridge University Press
Total Pages: 268
Release: 1999-03-28
Genre: Science
ISBN: 9780521551434

Exactly solvable models are very important in physics from a theoretical point of view and also from the experimentalist's perspective, because in such cases theoretical results and experimental results can be compared without ambiguity. This is a book about an important class of exactly solvable models in physics. The subject area is the Bethe-ansatz approach for a number of one-dimensional models, and the setting up of equations within this approach to determine the thermodynamics of these systems. It is a topic that crosses the boundaries among condensed matter physics, mathematics and field theory. The derivation and application of thermodynamic Bethe-ansatz equations for one-dimensional models are explained in detail. This technique is indispensable for physicists studying the low-temperature properties of one-dimensional substances. Written by the originator of much of the work in the subject, this book will be of great interest to theoretical condensed matter physicists.

Dialogues Around Models And Uncertainty: An Interdisciplinary Perspective

Dialogues Around Models And Uncertainty: An Interdisciplinary Perspective
Author: Pauline Barrieu
Publisher: World Scientific
Total Pages: 376
Release: 2020-05-05
Genre: Mathematics
ISBN: 1786347768

This book helps develop a better understanding of how researchers from different scientific backgrounds view models and uncertainty. It provides key steps in fostering and encouraging interdisciplinary research, which is vital in addressing several big issues that society faces today, such as climate change, longevity, financial and actuarial risk management. To make progress in these areas, researchers must develop an understanding of differing perspectives and methods of those working in other disciplines.This title presents the views and understandings of eminent people in their respective fields through interviews on the topic of modelling and uncertainty. Each expert was asked the same set of questions to help readers understand the similarities and differences existing between various disciplines. It also helps to bridge some of the gaps encountered by those carrying out inter- and multi-disciplinary research and suggests new approaches to modelling and uncertainty quantification.

MathPhys Odyssey 2001

MathPhys Odyssey 2001
Author: Masaki Kashiwara
Publisher: Springer Science & Business Media
Total Pages: 479
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461200873

'MathPhys Odyssey 2001' will serve as an excellent reference text for mathematical physicists and graduate students in a number of areas.; Kashiwara/Miwa have a good track record with both SV and Birkhauser.

$q$-Series from a Contemporary Perspective

$q$-Series from a Contemporary Perspective
Author: Mourad Ismail
Publisher: American Mathematical Soc.
Total Pages: 446
Release: 2000
Genre: Mathematics
ISBN: 0821811509

This volume presents the proceedings of the Summer Research Conference on q-series and related topics held at Mount Holyoke College (Hadley, Massachusetts). All of the papers were contributed by participants and offer original research. Articles in the book reflect the diversity of areas that overlap with q-series, as well as the usefulness of q-series across the mathematical sciences. The conference was held in honour of Richard Askey on the occasion of his 65th birthday.

Exactly Solvable Models of Biological Invasion

Exactly Solvable Models of Biological Invasion
Author: Sergei V. Petrovskii
Publisher: CRC Press
Total Pages: 232
Release: 2005-07-28
Genre: Mathematics
ISBN: 1420034960

Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling. While numerical simulations are clearly a useful approach, they have some serious drawbacks. Approximations errors and the number of parameter values can have

A Perspective Look at Nonlinear Media

A Perspective Look at Nonlinear Media
Author: Jürgen Parisi
Publisher: Springer Science & Business Media
Total Pages: 394
Release: 1998-02-26
Genre: Science
ISBN: 9783540639954

Concepts of nonlinear physics are applied to an increasing number of research disciplines. With this volume, the editors offer a selection of articles on nonlinear topics in progress, ranging from physics and chemistry to biology and some applications of social science. The book covers quantum optics, electron crystallization, cellular or flow patterns in fluids and in granular media, biological systems, and the control of brain structures via neuronal excitation. Chemical patterns are looked at both in bulk solutions and on surfaces in heterogeneous systems. From regular structures, the authors turn to the more complex behavior in biology and physics, such as hydrodynamical turbulence, low-dimensional dynamics in solid-state physics, and gravity.

Perspectives and Problems in Nonlinear Science

Perspectives and Problems in Nonlinear Science
Author: Ehud Kaplan
Publisher: Springer Science & Business Media
Total Pages: 445
Release: 2012-12-06
Genre: Mathematics
ISBN: 0387217894

Lawrence Sirovich will turn seventy on March 1, 2003. Larry's academic life of over 45 years at the Courant Institute, Brown University, Rockefeller University and the Mount Sinai School of Medicine has touched many peo ple and several disciplines, from fluid dynamics to brain theory. His con tributions to the kinetic theory of gases, methods of applied mathematics, theoretical fluid dynamics, hydrodynamic turbulence, the biophysics of vi sion and the dynamics of neuronal populations, represent the creative work of an outstanding scholar who was stimulated mostly by insatiable curios ity. As a scientist, Larry has consistently offered fresh outlooks on classical and difficult subjects, and moved into new fields effortlessly. He delights in what he knows and does, and sets no artificial boundaries to the range of his inquiry. Among the more than fifty or so Ph. D. students and post docs that he has mentored, many continue to make first-rate contributions themselves and hold academic positions in the US and elsewhere. Larry's scientific collaborators are numerous and distinguished. Those of us who have known him well will agree that Larry's charm, above all, is his taste, wit, and grace under fire. Larry has contributed immensely to mathematics publishing. He be gan his career with Springer by founding the Applied Mathematical Sci ences series together with Fritz John and Joe LaSalle some 30 years ago. Later he co-founded the Texts in Applied Mathematics series and more re cently the Interdisciplinary Applied Mathematics series.