Download or read book Devil s Staircase in a One dimensional Model written by Amitava Banerjea and published by . This book was released on 1983 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The One dimensional Ising Model and the Complete Devil s Staircase written by Per Bak and published by . This book was released on 1982 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics in One Dimension written by J. Bernasconi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1966, E.H. Lieb and D.C. r1attis published a book on "Mathematical Physics in One Dimension" [Academic Press, New York and London] which is much more than just a collection of reprints and which in fact marked the beginnings of the rapidly growing interest in one-dimensional problems and materials in the 1970's. In their Foreword, Lieb and r~attis made the observation that " ... there now exists a vast literature on this subject, albeit one which is not indexed under the topic "one dimension" in standard indexing journals and which is therefore hard to research ... ". Today, the situation is even worse, and we hope that these Proceedings will be a valuable guide to some of the main current areas of one-dimensional physics. From a theoretical point of view, one-dimensional problems have always been very attractive. Many non-trivial models are soluble in one dimension, while they are only approximately understood in three dimensions. Therefore, the corresponding exact solutions serve as a useful test of approximate ma thematical methods, and certain features of the one-dimensional solution re main relevant in higher dimensions. On the other hand, many important phe nomena are strongly enhanced, and many concepts show up especially clearly in one-dimensional or quasi -one-dimensional systems. Among them are the ef fects of fluctuations, of randomness, and of nonlinearity; a number of in teresting consequences are specific to one dimension.
Download or read book Trends in Applications of Mathematics to Mechanics written by Gerard Iooss and published by CRC Press. This book was released on 1999-10-22 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Society for the Interaction of Mechanics and Mathematics has a long-standing and respected tradition of hosting symposia that provide a forum for disseminating new developments and methods. Trends in Applications of Mathematics to Mechanics represents the proceedings of the eleventh such symposium, held at the University of Nice in May 1998. Comprising invited lectures and refereed papers, this volume includes recent results that open perspectives on fields in mechanics and their methodological counterparts in mathematics. It also surveys important advances in the areas where mathematics and mechanics interact. The applications addressed include:
Download or read book The Hubbard Model written by Dionys Baeriswyl and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the slightly more than thirty years since its formulation, the Hubbard model has become a central component of modern many-body physics. It provides a paradigm for strongly correlated, interacting electronic systems and offers insights not only into the general underlying mathematical structure of many-body systems but also into the experimental behavior of many novel electronic materials. In condensed matter physics, the Hubbard model represents the simplest theoret ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio ("Ujt") between the Coulomb repulsion and the kinetic energy of the electrons, and the filling (p) of the available electronic band - and one implicit parameter - the structure of the underlying lattice - it appears nonetheless capable of capturing behavior ranging from metallic to insulating and from magnetism to superconductivity. Introduced originally as a model of magnetism of transition met als, the Hubbard model has seen a spectacular recent renaissance in connection with possible applications to high-Tc superconductivity, for which particular emphasis has been placed on the phase diagram of the two-dimensional variant of the model. In mathematical physics, the Hubbard model has also had an essential role. The solution by Lieb and Wu of the one-dimensional Hubbard model by Bethe Ansatz provided the stimulus for a broad and continuing effort to study "solvable" many-body models. In higher dimensions, there have been important but isolated exact results (e. g. , N agoaka's Theorem).
Download or read book Crossover from Harmless to Devil s Staircase in the One dimensional Lattice Gas Model written by Kazumasa Shinjo and published by . This book was released on 1985 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Structure Coherence and Chaos in Dynamical Systems written by Peter L. Christiansen and published by Manchester University Press. This book was released on 1989 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractals in Molecular Biophysics written by T. Gregory Dewey and published by Oxford University Press. This book was released on 1998-02-19 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, science has sought to reduce complex problems to their simplest components, but more recently it has recognized the merit of studying complex phenomena in situ. Fractal geometry is one such appealing approach, and this book discusses its application to complex problems in molecular biophysics. The book provides a detailed, unified treatment of fractal aspects of protein and structure dynamics, fractal reaction kinetics in biochemical systems, sequence correlations in DNA and proteins, and descriptors of chaos in enzymatic systems. In an area that has been slow to acknowledge the use of fractals, this is an important addition to the literature, offering a glimpse of the wealth of possible applications to complex problems.
Download or read book A Dictionary of Physics written by Richard Rennie and published by Oxford University Press. This book was released on 2019-01-17 with total page 953 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now with over 4,000 entries, this new eighth edition has been fully updated to reflect progress in physics and related fields. It sees expansion to the areas of cosmology, astrophysics, condensed matter, quantum technology, and nanotechnology, with 125 new entries including Deep Underground Neutrino Experiment, kilonova, leptoquark, and muscovium. The dictionary's range of appendices, updated for the new edition, includes the periodic table, the electromagnetic spectrum, and a detailed chronology of key dates. 15 new diagrams add to the clarity and accessibility of the text, with 150 line drawings, tables, and graphs in total, and many entries contain recommended web links. This popular dictionary remains the most up-to-date of its kind: the essential introductory reference tool for students encountering physics terms and concepts, as well as for professionals and anyone with an interest in the subject.
Download or read book Modulated Structures Polytypes and Quasicrystals written by D. Pandey and published by CRC Press. This book was released on 1989 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook on the Physics and Chemistry of Rare Earths written by Karl A. Gschneidner and published by Elsevier. This book was released on 2005-03-09 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the Handbook adds five new chapters to the science of rare earths. Two of the chapters deal with intermetallic compounds. An overview of ternary systems containing rare earths, transition metals and indium - Chapter 218 - opens the volume. It is followed by Chapter 219 sorting out relationships between superconductivity and magnetism. The next two chapters are dedicated to complex compounds of rare earths: Chapter 220 describes structural studies using circularly polarized luminescence spectroscopy of lanthanide systems, while Chapter 221 examines rare-earth metal-organic frameworks, also known as coordination polymers. The final Chapter 222 deals with the catalytic activity of rare earths in site-selective hydrolysis of DNA and RNA. Ya. Kalychak, V. Zaremba, R. Pöttgen, M. Lukachuk, and R.-D. Hoffmann review the synthesis conditions, isothermal sections of phase diagrams, crystallography and basic physical properties of ternary intermetallic compounds consisting of the rare-earth metals, transition metals and indium. P. Thalmeier and G. Zwicknagl revisit the last decade of research uncovering some of the mysteries of the superconducting state, especially those related to heavy fermion superconductivity and the co-existence of the superconducting and exotic magnetically ordered states. J. P. Riehl and G. Muller review how the molecular stereochemistry of lanthanide complexes both in pure forms and in mixtures can be probed using circularly polarized luminescence. O. Guillou and C. Daiguebonne assess rare earth-containing metal-organic frameworks, also known as coordination polymers, which hold a potential as working bodies for opto-electronic and magnetic devices, microporous materials for a variety of uses, such as size- and shape-selective separations, catalyst support and hydrogen storage materials. Concluding the volume, M. Komiyama argues that future biotechnology may well rely on the use of rare-earth ions as unique catalysts that can slice DNA and RNA in order to allow their reprogramming, and thus lead to more effective bioengineered processes.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1989 with total page 1468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Simulating Analyzing and Animating Dynamical Systems written by Bard Ermentrout and published by SIAM. This book was released on 2002-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students provides sophisticated numerical methods for the fast and accurate solution of a variety of equations, including ordinary differential equations, delay equations, integral equations, functional equations, and some partial differential equations, as well as boundary value problems. It introduces many modeling techniques and methods for analyzing the resulting equations.
Download or read book Multi species Systems in Optical Lattices written by Fernanda Pinheiro and published by Springer. This book was released on 2016-08-12 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly interdisciplinary thesis covers a wide range of topics relating to the interface of cold atoms, quantum simulation, quantum magnetism and disorder. With a self-contained presentation, it provides a broad overview of the rapidly evolving area of cold atoms and is of interest to both undergraduates and researchers working in the field. Starting with a general introduction to the physics of cold atoms and optical lattices, it extends the theory to that of systems with different multispecies atoms. It advances the theory of many-body quantum systems in excited bands (of optical lattices) through an extensive study of the properties of both the mean-field and strongly correlated regimes. Particular emphasis is given to the context of quantum simulation, where as shown here, the orbital degree of freedom in excited bands allows the study of exotic models of magnetism not easily achievable with the previous alternative systems. In addition, it proposes a new model Hamiltonian that serves as a quantum simulator of various disordered systems in different symmetry classes that can easily be reproduced experimentally. This is of great interest, especially for the study of disorder in 2D quantum systems.
Download or read book Physical Review written by and published by . This book was released on 1999-05 with total page 1552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.
Download or read book Nonlinear Waves 1 written by Andrei V. Gaponov-Grekhov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The first volume starts with a historical overview of nonlinear dynamics from Poincaré to the present day and touches topics like attractors, nonlinear oscillators and waves, turbulence, pattern formation, and dynamics of structures in nonequilibrium dissipative media. It then deals with structures, bistabilities, instabilities, chaos, dynamics of defects in 1d systems, self-organizations, solitons, spatio-temporal structures and wave collapse in optical systems, lasers, plasmas, reaction-diffusion systems and solids.
Download or read book Nonlinear Physics For Beginners Fractals Chaos Solitons Pattern Formation Cellular Automata And Complex Systems written by Lui Lam and published by World Scientific Publishing Company. This book was released on 1998-03-31 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for simulation models included.The book can be used for self-study, as a textbook for a one-semester course, or as supplement to other courses in linear or nonlinear systems. The reader should have some knowledge in introductory college physics. No mathematics beyond calculus and no computer literacy are assumed.
