Download or read book Universal Relaxation Law written by Andrzej K. Jonscher and published by . This book was released on 1996 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractional Kinetics in Solids written by Vladimir Vasilʹevich Uchaĭkin and published by World Scientific. This book was released on 2013 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The standard (Markovian) transport model based on the Boltzmann equation cannot describe some non-equilibrium processes called anomalous that take place in many disordered solids. Causes of anomality lie in non-uniformly scaled (fractal) spatial heterogeneities, in which particle trajectories take cluster form. Furthermore, particles can be located in some domains of small sizes (traps) for a long time. Estimations show that path length and waiting time distributions are often characterized by heavy tails of the power law type. This behavior allows the introduction of time and space derivatives of fractional orders. Distinction of path length distribution from exponential is interpreted as a consequence of media fractality, and analogous property of waiting time distribution as a presence of memory. In this book, a novel approach using equations with derivatives of fractional orders is applied to describe anomalous transport and relaxation in disordered semiconductors, dielectrics and quantum dot systems. A relationship between the self-similarity of transport, the Levy stable limiting distributions and the kinetic equations with fractional derivatives is established. It is shown that unlike the well-known Scher Montroll and Arkhipov Rudenko models, which are in a sense alternatives to the normal transport model, fractional differential equations provide a unified mathematical framework for describing normal and dispersive transport. The fractional differential formalism allows the equations of bipolar transport to be written down and transport in distributed dispersion systems to be described. The relationship between fractional transport equations and the generalized limit theorem reveals the probabilistic aspects of the phenomenon in which a dispersive to Gaussian transport transition occurs in a time-of-flight experiment as the applied voltage is decreased and/or the sample thickness increased. Recent experiments devoted to studies of transport in quantum dot arrays are discussed in the framework of dispersive transport models. The memory phenomena in systems under consideration are discussed in the analysis of fractional equations. It is shown that the approach based on the anomalous transport models and the fractional kinetic equations may be very useful in some problems that involve nano-sized systems. These are photon counting statistics of blinking single quantum dot fluorescence, relaxation of current in colloidal quantum dot arrays, and some others.
Download or read book Dielectric Relaxation in Biological Systems written by Valerica Raicu and published by OUP Oxford. This book was released on 2015-07-23 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of dielectric properties of biological systems and their components is important not only for fundamental scientific knowledge but also for its applications in medicine, biology, and biotechnology. The associated technique - known as dielectric spectroscopy - has enabled researchers to quickly and accurately acquire time- or frequency-spectra of permittivity and conductivity and permitted the derivation and testing of realistic electrical models for cells and organelles. This text covers the theoretical basis and practical aspects of the study of dielectric properties of biological systems, such as water, electrolyte and polyelectrolytes, solutions of biological macromolecules, cells suspensions and cellular systems. The authors' combined efforts provide a comprehensive and cohesive book that takes advantage of the expertise of multiple scientists involved in cutting-edge research in the specific sub-fields of bio-dielectric spectroscopy while maintaining its self-consistency through numerous discussions. The first six chapters cover theoretical, methodological and experimental aspects of relaxation and dispersion in biological dielectrics at molecular, cellular and cellular aggregate level. Applications are presented in the following chapters which are organized in the order of increased complexity, beginning with pure water, amino acids and proteins, continuing with vesicles and simple cells such as erythrocytes, and then with more complex, organelle-containing cells and cellular aggregates. Due to its broad coverage, the text could be used as a reference book by researchers, and as a textbook for upper-level undergraduate classes and graduate classes in (bio) physics, medical physics, quantitative biology, and engineering.
Download or read book Quantum Magnetism written by Bernard Barbara and published by Springer Science & Business Media. This book was released on 2008-06-24 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This bookis based on some of the lectures duringthe Paci?c Institute of Theoretical Physics (PITP) summer school on “Quantum Magnetism”, held during June 2006 in Les Houches, in the French Alps. The school was funded jointly by NATO, the CNRS, and PITP, and entirely organized by PITP. Magnetism is a somewhat peculiar research ?eld. It clearly has a quant- mechanical basis – the microscopic exchange interactions arise entirely from the exclusion principle, in conjunction with repulsive interactions between electrons. And yet until recently the vast majority of magnetism researchersand users of m- netic phenomena around the world paid no attention to these quantum-mechanical roots. Thus, e.g., the huge ($400 billion per annum) industry which manufactures hard discs, and other components in the information technology sector, depends entirely on room-temperature properties of magnets – yet at the macroscopic or mesoscopic scales of interest to this industry, room-temperature magnets behave entirely classically.
Download or read book Fractional Dynamics and Control written by Dumitru Baleanu and published by Springer Science & Business Media. This book was released on 2011-11-19 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.
Download or read book Handbook of Low and High Dielectric Constant Materials and Their Applications Two Volume Set written by Hari Singh Nalwa and published by Elsevier. This book was released on 1999-09-07 with total page 1108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in microelectronics technologies have created a great demand for interlayer dielectric materials with a very low dielectric constant. They will play a crucial role in the future generation of IC devices (VLSI/UISI and high speed IC packaging). Considerable efforts have been made to develop new low as well as high dielectric constant materials for applications in electronics industries. Besides achieving either low or high dielectric constants, other materials' properties such as good processability, high mechanical strength, high thermal and environmental stability, low thermal expansion, low current leakage, low moisture absorption, corrosion resistant, etc., are of equal importance. Many chemical and physical strategies have been employed to get desired dielectric materials with high performance. This is a rapidly growing field of science--both in novel materials and their applications to future packing technologies. The experimental data on inorganic and organic materials having low or high dielectric constant remail scattered in the literature. It is timely, therfore, to consolidate the current knowledge on low and high dielectric constant materials into a sigle reference source. Handbook of Low and High Dielectric Constant Materials and Their Applications is aimed at bringing together under a sigle cover (in two volumes) all low and high dielectric constant materials currently studied in academic and industrial research covering all spects of inorgani an organic materials from their synthetic chemistry, processing techniques, physics, structure-property relationship to applications in IC devices. This book will summarize the current status of the field covering important scientific developments made over the past decade with contributions from internationally recognized experts from all over the world. Fully cross-referenced, this book has clear, precise, and wide appeal as an essential reference source for all those interested in low and high dielectric constant material.
Download or read book Silicon Nitride Silicon Dioxide and Emerging Dielectrics 10 written by R. Ekwal Sah and published by The Electrochemical Society. This book was released on 2009 with total page 871 pages. Available in PDF, EPUB and Kindle. Book excerpt: The issue of ECS Transactions contains papers presented at the Tenth International Symposium on Silicon Nitride, Silicon Dioxide, and Alternate Emerging Dielectrics held in San Francisco on May 24-29, 2009. The papers address a very wide range of fabrication and characterization techniques, and applications of thin dielectric films in microelectronic and optoelectronic devices. More specific topics addressed by the papers include reliability, interface states, gate oxides, passivation, and dielctric breakdown.
Download or read book Electroceramic Based MEMS written by Nava Setter and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is focused on the use of functional oxide and nitride films to enlarge the application range of MEMS (microelectromechanical systems), including micro-sensors, micro-actuators, transducers, and electronic components for microwaves and optical communications systems. Applications, emerging applications, fabrication technology and functioning issues are presented and discussed. The book covers the following topics: Part A: Applications and devices with electroceramic-based MEMS: Chemical microsensors Microactuators based on thin films Micromachined ultrasonic transducers Thick-film piezoelectric and magnetostrictive devices Pyroelectric microsystems RF bulk acoustic wave resonators and filters High frequency tunable devices MEMS for optical functionality Part B: Materials, fabrication technology, and functionality: Ceramic thick films for MEMS Piezoelectric thin films for MEMS Materials and technology in thin films for tunable high frequency devices Permittivity, tunability and loss in ferroelectrics for reconfigurable high frequency electronics Microfabrication of piezoelectric MEMS Nano patterning methods for electroceramics Soft lithography emerging techniques The book is addressed to engineers, scientists and researchers of various disciplines, device engineers, materials engineers, chemists, physicists and microtechnologists who are working and/or interested in this fast growing and highly promising field. The publication of this book follows a Special Issue on electroceramic-based MEMS that was published in the Journal of Electroceramics at the beginning of 2004. The ten invited papers of that special issue were adapted by the authors into chapters of the present book and five additional chapters were added.
Download or read book Applications in Physics written by Vasily E. Tarasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fifth volume collects authoritative chapters covering several applications of fractional calculus in physics, including electrodynamics, statistical physics and physical kinetics, and quantum theory.
Download or read book Universal Fluctuations written by Robert Botet and published by World Scientific. This book was released on 2002-08-02 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to present, in a comprehensive and progressive way, the appearance of universal limit probability laws in physics, and their connection with the recently developed scaling theory of fluctuations. Arising from the probability theory and renormalization group methods, this novel approach has been proved recently to provide efficient investigative tools for the collective features that occur in any finite system. The mathematical background is self-contained and is formulated in terms which are easy to apply to the physical context. After illustrating the problem of anomalous diffusion, the book reviews recent advances in nuclear and high energy physics, where the limit laws are now recognized as being able to classify different phases of a system undergoing the pseudo-critical behaviour. A new description of the hadronic matter in terms of the fluctuation scaling is appearing as a consequence of this approach. Contents: Central Limit Theorem and Stable LawsStable Laws for Correlated VariablesDiffusion ProblemsPoisson–Transform DistributionsFeaturing the CorrelationsExclusive and Inclusive DensitiesBose–Einstein Correlations in Nuclear and Particle PhysicsRandom Multiplicative CascadesRandom Cascades with Short-Scale DissipationFluctuations of the Order ParameterUniversal Fluctuations in Nuclear and Particle PhysicsFinal Remarks Readership: Graduate students and researchers in critical phenomena, nuclear and high energy physics. Keywords:Reviews:“… the content of the book is much richer than simple applications in nuclear physics and in high-energy physics. It contains a well-written introduction into general fluctuation theory via probability distribution …”Zentralblatt MATH
Download or read book Fractional Derivatives for Physicists and Engineers written by Vladimir V. Uchaikin and published by Springer Science & Business Media. This book was released on 2013-07-09 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. Fractional Derivatives for Physicists and Engineers— The first volume contains a clear introduction into such a modern branch of analysis as the fractional calculus. The second develops a wide panorama of applications of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular. Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School, a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds articles and more than a dozen books (mostly in Russian) in Cosmic ray physics, Mathematical physics, Levy stable statistics, Monte Carlo methods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy.
Download or read book Universal Classics Library written by and published by . This book was released on 1901 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dispersive Kinetics written by Andrzej Plonka and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical processes in which many timescales coexist are called dispersive. The rate coefficients for dispersive processes depend on time. In the case of a chemical reaction, the time dependence of the rate coefficient, k(t), termed the specific reaction rate, is rationalized in the following way. Reactions by their very nature have to disturb reactivity distributions of the reactants in condensed media, as the more reactive species are the first ones to disappear from the system. The extent of this disturbance depends on the ratio of the rates of reactions to the rate of internal rearrangements (mixing) in the system restoring the initial distribution in reactivity of reactants. If the rates of chemical reactions exceed the rates of internal rearrangements, then the initial distributions in reactant reactivity are not preserved during the course of reactions and the specific reaction rates depend on time. Otherwise the extent of disturbance is negligible and classical kinetics, with a constant specific reaction rate, k, termed the reaction rate constant, may be valid as an approximation. In condensed media dispersive dynamical processes are endemic and this is the first monograph devoted to these processes.
Download or read book Universal Classics Library French belles lettres from 1640 to 1870 written by and published by . This book was released on 1901 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Universal Dictionary of the English Language written by Robert Hunter and published by . This book was released on 1897 with total page 1356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dictionarium Britannicum Or A More Compleat Universal Etymological English Dictionary Than Any Extant written by Nathan Bailey and published by . This book was released on 1730 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An universal etymological English dictionary written by Nathan Bailey and published by . This book was released on 1724 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt:
