From chemistry to solid state physics to biology, the applications of Electron Paramagnetic Resonance (EPR) are relevant to many areas. This unified treatment is based on the spin Hamiltonian approach and makes extensive use of irreducible tensor techniques to analyze systems in which two or more spins are magnetically coupled. This edition contains a new Introduction by coauthor Dante Gatteschi, a pioneer and scholar of molecular magnetism. The first two chapters review the foundations of exchange interactions, followed by examinations of the spectra of pairs and clusters, relaxation in oligonuclear species, approaches to infinite lattices, and how EPR can provide firsthand information on spin dynamics. Subsequent chapters explore experimental data, magnetically coupled systems, low-dimensional materials, and the use of EPR to characterize excitons and exciton motion. More than 200 figures and tables appear throughout the book, which concludes with a pair of helpful appendices.

Theory, Models, and Applications in Engineering explains how to solve complicated coupled models in engineering using analytical and numerical methods. It presents splitting multiscale methods to solve multiscale and multi-physics problems and describes analytical and numerical methods in time and space for evolution equations arising in engineering problems. The book discusses the effectiveness, simplicity, stability, and consistency of the methods in solving problems that occur in real-life engineering tasks. It shows how MATLAB (R) and Simulink (R) are used to implement the methods. The author also covers the coupling of separate, multiple, and logical scales in applications, including microscale, macroscale, multiscale, and multi-physics problems. Covering mathematical, algorithmic, and practical aspects, this book brings together innovative ideas in coupled systems and extends standard engineering tools to coupled models in materials and flow problems with respect to their scale dependencies and their influence on each time and spatial scale

In this thesis, magnetism and transport phenomena in spin-charge coupled systems on frustrated lattices are theoretically investigated, focusing on Ising-spin Kondo lattice models and using a combination of Monte Carlo simulation and other techniques such as variational calculations and perturbation theory. The emphasis of the study is on how the cooperation of spin-charge coupling and geometrical frustration affects the thermodynamic properties of the Kondo lattice models; it presents the emergence of various novel magnetic states, such as the partial disorder, loop-liquid, and spin-cluster states. The thesis also reveals that the magnetic and electronic states and transport properties of these models demonstrate peculiar features, such as Dirac half-metals, anomalous Hall insulators, and spin Hall effects. Study of novel magnetic states and exotic transport phenomena in Kondo lattice systems is a field experiencing rapid progress. The interplay of charge and spin degrees of freedom potentially gives rise to various novel phases and transport phenomena which are related to strongly correlated electrons, frustrated magnetism, and topological states of matter. The results presented in this thesis include numerical calculations that are free from approximations. Accordingly, they provide reliable reference values, both for studying magnetism and transports of related models and for experimentally exploring novel states of matter in metallic magnets.

This volume contains the proceedings of the IUTAM Symposium on Model Order Reduction of Coupled System, held in Stuttgart, Germany, May 22–25, 2018. For the understanding and development of complex technical systems, such as the human body or mechatronic systems, an integrated, multiphysics and multidisciplinary view is essential. Many problems can be solved within one physical domain. For the simulation and optimization of the combined system, the different domains are connected with each other. Very often, the combination is only possible by using reduced order models such that the large-scale dynamical system is approximated with a system of much smaller dimension where the most dominant features of the large-scale system are retained as much as possible. The field of model order reduction (MOR) is interdisciplinary. Researchers from Engineering, Mathematics and Computer Science identify, explore and compare the potentials, challenges and limitations of recent and new advances.

"This monograph was inspired by the life and work of Professor Michio Yanai, a seminal figure and dedicated mentor in tropical meteorology. Conceived initially at the Michio Yanai Symposium held in January 2011 as 'lessons' organized around the principal research areas that attracted Yanai's attention and passion, this collection represents both a lasting tribute to the Professor and his legacy, and a useful reference for scientists in all stages of their careers. Among the many topics included in this volume are reviews of tropical clouds and convection, equatorial waves, tropical cyclones, monsoon flows, Madden-Julian oscillation, multiscale modeling and analyses, and the role of the Tibetan Plateau on climate. Also included are personal reminiscences from Professor Taroh Matsuno and a biographical sketch of Professor Yanai's life led by Professor Steven Esbensen, one of Professor Yanai's earliest students during his forty-year career at UCLA."--Provided by publisher.

Dynamics of Coupled Systems in High-Speed Railways: Theory and Practice presents the relationship between various coupled systems that can affect train operation, including interaction between track and train, the pantograph-catenary system and train, power supply system and train, and airflow and train, with respect to the structure and characteristics of high-speed railway. The overall simulation optimization and control are achieved based on an analysis of the dynamics generated by coupled systems in high-speed trains, with a theoretical framework for the dynamics presented in the book. Presents the first book available on the dynamics of coupled systems in high-speed trains Provides a systematic view of high-speed vehicle dynamics, covering the issues that are especially concerned for high speed operations, such as high-speed pantograph and catenary, aerodynamic characteristics and running stability of high-speed trains Covers the optimization of dynamic performance, the design of parameters, the simulation of high-speed train service processes, and the identification of high-speed train state and condition assessment

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

Vehicle dynamics and road dynamics are usually considered to be two largely independent subjects. In vehicle dynamics, road surface roughness is generally regarded as random excitation of the vehicle, while in road dynamics, the vehicle is generally regarded as a moving load acting on the pavement. This book suggests a new research concept to integrate the vehicle and the road system with the help of a tire model, and establishes a cross-subject research framework dubbed vehicle-pavement coupled system dynamics. In this context, the dynamics of the vehicle, road and the vehicle-road coupled system are investigated by means of theoretical analysis, numerical simulations and field tests. This book will be a valuable resource for university professors, graduate students and engineers majoring in automotive design, mechanical engineering, highway engineering and other related areas. Shaopu Yang is a professor and deputy president of Shijiazhuang Tiedao University, China; Liqun Chen is a professor at Shanghai University, Shanghai, China; Shaohua Li is a professor at Shijiazhuang Tiedao University, China.

This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.

The Book Presents The Theory Of Free, Forced And Transient Vibrations Of Single Degree, Two Degree And Multi-Degree Of Freedom, Undamped And Damped, Lumped Parameter Systems And Its Applications. Free And Forced Vibrations Of Undamped Continuous Systems Are Also Covered. Numerical Methods Like Holzers And Myklestads Are Also Presented In Matrix Form. Finite Element Method For Vibration Problem Is Also Included. Nonlinear Vibration And Random Vibration Analysis Of Mechanical Systems Are Also Presented. The Emphasis Is On Modelling Of Engineering Systems. Examples Chosen, Even Though Quite Simple, Always Refer To Practical Systems. Experimental Techniques In Vibration Analysis Are Discussed At Length In A Separate Chapter And Several Classical Case Studies Are Presented.Though The Book Is Primarily Intended For An Undergraduate Course In Mechanical Vibrations, It Covers Some Advanced Topics Which Are Generally Taught At Postgraduate Level. The Needs Of The Practising Engineers Have Been Kept In Mind Too. A Manual Giving Solutions Of All The Unsolved Problems Is Also Prepared, Which Would Be Extremely Useful To Teachers.