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This monograph is a comprehensive and cohesive exposition of power-law statistics. Following a bottom-up construction from a foundational bedrock – the power Poisson process – this monograph presents a unified study of an assortment of power-law statistics including: Pareto laws, Zipf laws, Weibull and Fréchet laws, power Lorenz curves, Lévy laws, power Newcomb-Benford laws, sub-diffusion and super-diffusion, and 1/f and flicker noises. The bedrock power Poisson process, as well as the assortment of power-law statistics, are investigated via diverse perspectives: structural, stochastic, fractal, dynamical, and socioeconomic. This monograph is poised to serve researchers and practitioners – from various fields of science and engineering – that are engaged in analyses of power-law statistics.
Computation and Modeling for Fractional Order Systems provides readers with problem-solving techniques for obtaining exact and/or approximate solutions of governing equations arising in fractional dynamical systems presented using various analytical, semi-analytical, and numerical methods. In this regard, this book brings together contemporary and computationally efficient methods for investigating real-world fractional order systems in one volume. Fractional calculus has gained increasing popularity and relevance over the last few decades, due to its well-established applications in various fields of science and engineering. It deals with the differential and integral operators with non-int...
The book contains review articles on recent advances in first-passage phenomena and applications contributed by leading international experts. It is intended for graduate students and researchers who are interested in learning about this intriguing and important topic.
Processes involving randomly moving particles, which react either upon encounter or via distance-dependent reaction rates, are ubiquitous in nature. A few stray examples are recombination of ions or holes and electrons, excitation energy migration and quenching, trapping of particles by other species, coagulation, binding of ligands and proteins to specific sites, chemotaxis, catalytically-induced self-propulsion, polymerization, growth of dendrites or aggregates, or nuclei of a new phase.Several decades ago, it was recognized that the kinetic behavior in some systems with reactions and random transport is strongly affected by many factors, which were not taken into account in previous studi...
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Biophysics is a new way of looking at living matter. It uses quantitative experimental and theoretical methods to open a new window for studying and understanding life processes. This textbook gives compact introductions to the basics of the field, including molecular cell biology and statistical physics. It then presents in-depth discussions of more advanced biophysics subjects, progressing to state-of-the-art experiments and their theoretical interpretations. The book is unique by offering a general introduction to biophysics, yet at the same time restricting itself to processes that occur inside the cell nucleus and that involve biopolymers (DNA, RNA, and proteins). This allows for an accessible read for beginners and a springboard for specialists who wish to continue their study in more detail.
What Is Magnetorheological Fluid A magnetorheological fluid is a type of smart fluid in a carrier fluid, usually a type of oil. When subjected to a magnetic field, the fluid greatly increases its apparent viscosity, to the point of becoming a viscoelastic solid. Importantly, the yield stress of the fluid when in its active ("on") state can be controlled very accurately by varying the magnetic field intensity. The upshot is that the fluid's ability to transmit force can be controlled with an electromagnet, which gives rise to its many possible control-based applications. Extensive discussions of the physics and applications of MR fluids can be found in a recent book. How You Will Benefit (I) ...
Recent trends and progress in the field of liquid matter are explored in this volume via a broad spectrum of contributions from liquid state physicists, chemists and chemical engineers. It is devoted to the microscopic, mesoscopic and macroscopic aspects of the liquid state of matter. Physicists, chemists and chemical engineers working on a wide variety of experimental and theoretical aspects of simple and complex liquids should find Liquid Matter invaluable in giving a clearer, more global picture of the liquid state.