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  • Campbell, David K.  (20)
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  • 1
    Online Resource
    Online Resource
    Amsterdam ; New York : North-Holland Pub. Co | New York, N.Y : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co
    UID:
    b3kat_BV036962847
    Format: 1 Online-Ressource (xi, 483 p.) , ill , 24 cm
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444863958 , 9780444863959
    Series Statement: North-Holland mathematics studies 61
    Note: Includes bibliographical references and index
    Additional Edition: Reproduktion von Nonlinear problems 1982
    Language: English
    Keywords: Strömungsmechanik ; Nichtlineares Phänomen ; Festkörpertheorie ; Nichtlineares Phänomen ; Nichtlineares System ; Mathematische Physik ; Nichtlineare Theorie ; Nichtlineare Differentialgleichung ; Konferenzschrift
    Author information: Campbell, David K. 1944-
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  • 2
    UID:
    almahu_9947367870102882
    Format: 1 online resource (497 p.)
    ISBN: 1-281-79748-0 , 9786611797485 , 0-08-087172-0
    Series Statement: Notas de matematica (North-Holland Publishing Company) ; 85
    Content: Nonlinear Problems: Present and Future
    Note: Description based upon print version of record. , Front Cover; Nonlinear Problems: Present and Future; Copyright Page; TABLE OF CONTENTS; PREFACE; DEDICATION; PART I : NEW METHODS AND RESULTS IN NONLINEAR ANALYSIS; Chapter 1. Optimal Control of Non-Well-Posed Distributed Systems and Related Nonlinear Partial Differential Equations; Chapter 2. Compactness and Topological Methods for Some Nonlinear Variational Problems of Mathematical Physics; Chapter 3. On Yang-Mills Fields; Chapter 4. Gauge Theories for Soliton Problems; Chapter 5. The Inverse Monodromy Transform is a Canonical Transformation , Chapter 6. Numerical Methods for Nonlinear Differential EquationsChapter 7. Limit Analysis of Physical Models; Chapter 8. Viscosity Solutions of Hamilton-Jacobi Equations; Chapter 9. Bifurcation of Stationary Vortex Configurations; Chapter10.Exact Invariants for Time-Dependent Nonlinear Hamiltonian System; Chapter 11. IsolatingIntegrals in Galactic Dynamics and the Character of Stel1ar Orbits; PART II : NONLINEARITY IN FIELD THEORIES AND LOW DIMENSIONAL SOLIDS; Chapter 12. Physics in Few Dimensions; Chapter 13. Solution of the Kondo Problem , Chapter 14. Kinks of Fractional Charge in Quasi-One Dimensional SystemsChapter 15. Theoretically Predicted Drude Absorption by a Conducting Charged Soliton in Doped-Polyacetylene; Chapter 16. Pol arons in Polyacetylene; Chapter 17. Light Scattering and Absorption in Polyacetylene; Chapter 18. Quasi-Solitons: A Case Study of the Double Sine-Gordon Equation; Chapter 19. Classical Field Theory with Z(3) Symmetry; PART III : REACTION-DIFFUSION PROCESSES; Chapter 20. Some Characteristic Nonlinearities of Chemical Reaction Engineering; Chapter 21. Propagating Fronts in Reactive Media , PART IV : NONLINEAR PHENOMENA IN FLUIDS AND PLASMASChapter 22. Regularity Results for the Equations of Incompressible Fluids Mechanic at the Brink of Turbulence; Chapter 23. Finite Parameter Approximative Structure of Actual Flows; Chapter 24. The Role of Characteristic Boundaries in the Asymptotic Solution of the Navier-Stokes Equations; Chapter 25. Some Approaches to the Turbulence Problem; Chapter 26. Instability of Pipe Flow; Chapter 27. Some Formalism and Predictions of the Period-Doubling Onset of Chaos; Chapter 28. Tricritical Points and Bifurcations in a Quartic Map , Chapter 29. Recent Experiments on Convective TurbulenceChapter 30. Experimental Observations of Complex Dynamics in a Chemical Reaction; Chapter 31. Nonlinear Plasma Dynamics Below the Cyclotron Frequency; Chapter 32. Turbulence and Self - consistent Fieldsin Plasmas; Chapter 33. Self-Focusing Tendencies of the Nonlinear Schrodinger and Zakharov Equations; Chapter 34. Chaotic Oscillations in a Simplified Model for Langmuir Waves; INDEX OF CONTRIBUTORS , English
    Additional Edition: ISBN 0-444-86395-8
    Language: English
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  • 3
    UID:
    gbv_1684907969
    Format: Online-Ressource
    ISBN: 0444863958 , 9780444863959 , 9780080871721 , 0080871720
    Series Statement: North-Holland mathematics studies 61
    Content: Front Cover; Nonlinear Problems: Present and Future; Copyright Page; PREFACE; DEDICATION; TABLE OF CONTENTS; PART I : NEW METHODS AND RESULTS IN NONLINEAR ANALYSIS; PART II : NONLINEARITY IN FIELD THEORIES AND LOW DIMENSIONAL SOLIDS; PART III : REACTION-DIFFUSION PROCESSES; PART IV : NONLINEAR PHENOMENA IN FLUIDS AND PLASMAS; INDEX OF CONTRIBUTORS
    Note: Includes bibliographical references and index , Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
    Additional Edition: ISBN 0444863958
    Additional Edition: Erscheint auch als Druck-Ausgabe Nonlinear problems Amsterdam [u.a.] : North-Holland Publ. Comp., 1982 ISBN 0444863958
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Nichtlineare Theorie ; Festkörpertheorie ; Nichtlineares Phänomen ; Strömungsmechanik ; Nichtlineares Phänomen ; Nichtlineare Differentialgleichung ; Mathematische Physik ; Nichtlineares System ; Electronic books ; Electronic books ; Electronic books ; Konferenzschrift ; Konferenzschrift
    URL: Volltext  (Deutschlandweit zugänglich)
    Author information: Campbell, David K. 1944-
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  • 4
    UID:
    b3kat_BV042413539
    Format: 1 Online-Ressource (VIII, 143p. 66 illus)
    ISBN: 9783642748936 , 9783642748950
    Series Statement: Springer Proceedings in Physics 39
    Note: ill the past three decades there has been enonnous progress in identifying the essential role that "nonlinearity" plays in physical systems. Classical nonlinear wave equations can support localized, stable "soliton" solutions, and nonlinearities in quantum systems can lead to self-trapped excitations, such as polarons. Since these nonlinear excitations often dominate the transport and response properties of the systems in which they exist, accurate modeling of their effects is essential to interpreting a wide range of physical phenomena. Further, the dramatic developments in "deterministic chaos", including the recognition that even simple nonlinear dynamical systems can produce seemingly random temporal evolution, have similarly demonstrated that an understanding of chaotic dynamics is vital to an accurate interpretation of the behavior of many physical systems. As a consequence of these two developments, the study of nonlinear phenomena has emerged as a subject in its own right. During these same three decades, similar progress has occurred in understanding the effects of "disorder". Stimulated by Anderson's pioneering work on "disordered" quantum solid state materials, this effort has also grown into a field that now includes a variety of classical and quantum systems and treats "disorder" arising from many sources, including impurities, random spatial structures, and stochastic applied fields. Significantly, these two developments have occurred rather independently, with relatively little overlapping research
    Language: English
    Keywords: Ungeordnetes System ; Nichtlineares Phänomen ; Soliton ; Ungeordnetes System ; Nichtlineares System ; Lokalisierter Zustand ; Ungeordnetes System ; Lokalisierter Zustand ; Chaos ; Nichtlineares Phänomen ; Nichtlineares System ; Ungeordnetes System ; Ordnungs-Unordnungs-Modell ; Konferenzschrift ; Konferenzschrift
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  • 5
    UID:
    b3kat_BV042413830
    Format: 1 Online-Ressource (X, 404 p)
    ISBN: 9783642830334 , 9783642830358
    Series Statement: Springer Series in Solid-State Sciences 69
    Note: The Sixth Annual Conference of the Center for Nonlinear Studies at the Los Alamos National Laboratory was held May 5-9, 1986, on the topic "Nonlinearity in Condensed Matter: Lessons from the Past and Prospects for the Future. " As conference organizers, we felt that the study of non­linear phenomena in condensed matter had matured to the point where it made sense to take stock of the numerous lessons to be learned from a variety of contexts where nonlinearity plays a fundamental role and to evaluate the prospects for the growth of this general discipline. The successful 1978 Oxford Symposium on nonlinear (soliton) structure and dynamics in condensed matter (Springer Ser. Solid-State Sci. , Vol. 8) was held at a time when the ubiquity of solitons was just beginning to be appreciated by the condensed matter community; in subsequent years the soliton paradigm has provided a rather useful framework for investigating a large number of phenomena, particularly in low-dimensional systems. Nevertheless, we felt that the importance of nonlinearity in wider arenas than "solitonics" merited a significant expansion in the scope of the conference over that of the 1978 symposium. Indeed, many of the lessons are quite general and their potential for cross-fertilization of otherwise poorly connected disciplines was certainly one of the prime motivations for this conference. Thus, while these proceedings contain many contributions pertaining to soliton behavior in different contexts, the reader will find much more as well, particularly in the later chapters
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 3-540-17561-X
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 0-387-17561-X
    Language: English
    Subjects: Physics
    RVK:
    RVK:
    RVK:
    Keywords: Kondensierte Materie ; Nichtlineares Phänomen ; Kondensierte Materie ; Nichtlineare Theorie ; Nichtlineares Phänomen ; Festkörper ; Nichtlineares System ; Festkörper ; Festkörperphysik ; Konferenzschrift ; Konferenzschrift
    Author information: Campbell, David K. 1944-
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  • 6
    Online Resource
    Online Resource
    Boston, MA : Springer US
    UID:
    b3kat_BV042411221
    Format: 1 Online-Ressource (414p)
    ISBN: 9781461305651 , 9781461278696
    Series Statement: NATO ASI Series, Series B: Physics 213
    Note: As its name suggests, the 1988 workshop on "Interacting Electrons in Reduced Dimen sions" focused on the wide variety of physical effects that are associated with (possibly strongly) correlated electrons interacting in quasi-one- and quasi-two-dimensional materials. Among the phenomena discussed were superconductivity, magnetic ordering, the metal-insulator transition, localization, the fractional Quantum Hall effect (QHE), Peierls and spin-Peierls transitions, conductance fluctuations and sliding charge-density (CDW) and spin-density (SDW) waves. That these effects appear most pronounced in systems of reduced dimensionality was amply demonstrated at the meeting. Indeed, when concrete illustrations were presented, they typically involved chain-like materials such as conjugated polymers, inorganic CDW systems and organie conductors, or layered materials such as high-temperature copper-oxide superconductors, certain of the organic superconductors, and the QHE samples, or devices where the electrons are confined to a restricted region of sample, e. g. , the depletion layer of a MOSFET. To enable this broad subject to be covered in thirty-five lectures (and about half as many posters), the workshop was deliberately focused on theoretical models for these phenomena and on methods for describing as faithfully as possible the "true" behavior of these models. This latter emphasis was especially important, since the inherently many-body nature of problems involving interacting electrons renders conventional effective single-particle/mean-field methods (e. g. , Hartree-Fock or the local-density approximation in density-functional theory) highly suspect. Again, this is particularly true in reduced dimensions, where strong quantum fluctuations can invalidate mean-field results
    Language: English
    Keywords: Hubbard-Modell ; Festkörperphysik ; Konferenzschrift
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  • 7
    UID:
    gbv_272991783
    Format: XIII, 487 S , Ill., graph. Darst
    Series Statement: Physica 18,1/3
    Language: Undetermined
    Keywords: Festschrift ; Konferenzschrift
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  • 8
    UID:
    b3kat_BV042412505
    Format: 1 Online-Ressource (XII, 407 p)
    ISBN: 9781489910424 , 9781489910448
    Series Statement: NATO ASI Series, Series B: Physics 343
    Note: 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)
    Language: English
    Keywords: Hubbard-Modell ; Konferenzschrift
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  • 9
    UID:
    almahu_9949199043702882
    Format: X, 404 p. , online resource.
    Edition: 1st ed. 1987.
    ISBN: 9783642830334
    Series Statement: Springer Series in Solid-State Sciences, 69
    Content: The Sixth Annual Conference of the Center for Nonlinear Studies at the Los Alamos National Laboratory was held May 5-9, 1986, on the topic "Nonlinearity in Condensed Matter: Lessons from the Past and Prospects for the Future. " As conference organizers, we felt that the study of non­ linear phenomena in condensed matter had matured to the point where it made sense to take stock of the numerous lessons to be learned from a variety of contexts where nonlinearity plays a fundamental role and to evaluate the prospects for the growth of this general discipline. The successful 1978 Oxford Symposium on nonlinear (soliton) struc­ ture and dynamics in condensed matter (Springer Ser. Solid-State Sci. , Vol. 8) was held at a time when the ubiquity of solitons was just begin­ ning to be appreciated by the condensed matter community; in subsequent years the soliton paradigm has provided a rather useful framework for in­ vestigating a large number of phenomena, particularly in low-dimensional systems. Nevertheless, we felt that the importance of nonlinearity in wider arenas than "solitonics" merited a significant expansion in the scope of the conference over that of the 1978 symposium. Indeed, many of the lessons are quite general and their potential for cross-fertilization of otherwise poorly connected disciplines was certainly one of the prime motivations for this conference. Thus, while these proceedings contain many contribu­ tions pertaining to soliton behavior in different contexts, the reader will find much more as well, particularly in the later chapters.
    Note: I Historical Perspective -- Nonlinearity: Historical and Technological View -- II Low-Dimensional Magnetism -- Soliton Dynamics: Experiments on Magnetic Chains -- Soliton Dynamics in One-Dimensional Antiferromagnets -- One-Dimensional Easy-Plane Magnets: Classical Sine-Gordon Theory or a Quantum Model? -- Towards a Quantitative Theory of Solitons in One-Dimensional Magnets: Quantum Effects, Out-of-Plane Fluctuations and the Specific Heat -- Quantum Corrections to the Specific Heat of the Easy-Plane Ferromagnetic Chain -- Monte Carlo Calculations of Quantum Systems -- III Conducting Polymers -- Photogeneration of Nonlinear Excitations in Semiconducting Polymers: Fast Response Nonlinear Optical Phenomena -- When Kinks are not Elementary Excitations -- Phonons and Soliton Diffusion in Polyacetylene -- Ground State Properties of Polyacetylene with Off-Diagonal Random Disorder -- IV Experimental Techniques -- Neutron Scattering Studies of Non-Linear Systems -- Novel Experimental Techniques and Realizations of Quasi-Periodicity -- Heavy-Electron Materials -- Magnetic Resonance as a Probe of Nonlinearity in Condensed Matter Physics -- High-Resolution He Beam Scattering as a Tool for the Investigation of the Structural and Dynamical Properties of Surface Soliton Dislocations -- V Theoretical Techniques -- Quantum Mechanics at the Macroscopic Level -- Soluble Models -- Variational Schemes for Many-Electron Systems -- Quantum Monte Carlo -- Quantum Spin Chains and Conformally Invariant Non-Linear ?-Models -- Collective Coordinates and Linear Modes of the Double-Sine-Gordon Kink -- A Collective Coordinate Method for Classical Dynamics of Nonlinear Klein-Gordon Kinks -- Quantum Coherence and the Nonlinear Schrödinger Equation -- Energy Transfer, Self-Trapping, and Solitons on a Nonlinear Dimer -- VI Structural Phase Transitions -- Microscopic Probing of BaTiO3 Ferroelectric Phase Transitions by EPR -- Structural Transformations in DNA -- Phonon Anomalies, Structural Transformations, and Precursor Structure in the Martensitic Alloys TiNi(Fe) and Al1?xNix -- Temperature Dependence of the Soft Mode for Structural Phase Transitions in Highly Anisotropic Systems -- A Model for the B?Z Transition of DNA Involving Solitary Excitations -- VII Spin-Glasses and Random Field Systems -- Recent Experimental Results in Spin-Glass Dynamics -- Spin Glasses: Recent Theoretical Developments -- The Random Field Problem - Facts and Fiction -- Statics and Dynamics of the Random Field Ising Model (Theory) -- A Driven Random Field System: CDW Dynamics -- VIII Frustrated, Incommensurate, and Nonequilibrium Systems -- Topography and Diffusion of Kinks in Incommensurate Insulators: Relationship Between Phase Conjugation and Thermal Hysteresis in Incommensurate Phases, and a Physical Analog for Circadian Biorhythms -- Model of Icosahedral Order -- Systematics of Disorder in Quasiperiodic Material -- Friction and Forced Flow: Collective Transport in Disordered Media -- Non-Equilibrium Behavior, Hysteresis and Condensate Quakes in the Pinned Charge Density Wave -- Vortex Dynamics in Two-Dimensional Arrays of Superconducting Weak Links -- Interfacial Pattern Formation: A Progress Report -- Intrinsic Defect States in Protein Assemblages -- Is Universality Valid on Hierarchical and Fractal Lattices? -- IX Summary -- Lessons from the Past and Prospects for the Future? -- Index of Contributors.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9783642830358
    Additional Edition: Printed edition: ISBN 9783540175612
    Additional Edition: Printed edition: ISBN 9783642830341
    Language: English
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  • 10
    UID:
    b3kat_BV023799725
    Format: X, 611 S. , Ill., graph. Darst.
    Edition: 1. ed.
    ISBN: 0262531097
    Series Statement: Special issues of physica D
    Language: English
    Keywords: Nichtlineare Theorie ; Systemtheorie ; Aufsatzsammlung ; Konferenzschrift
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