This book presents the role of mesostructure on the properties of composite materials. A complex percolation model is developed for the material structure containing percolation clusters of phases and interior boundaries. Modeling of technological cracks and the percolation in the Sierpinski carpet are described. The interaction of mesoscopic interior boundaries of the material, including the fractal nature of interior boundaries, the oscillatory nature of it interaction and also the stochastic model of the interior boundaries’ interaction, the genesis, structure, and properties are discussed. One of part of the book introduces the percolation model of the long-range effect which is based on the notion on the multifractal clusters with transforming elements, and the theorem on the field interaction of multifractals is described. In addition small clusters, their characteristic properties and the criterion of stability are presented.
The book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.
Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory. This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. Reviews the whole field from the beginning to today Includes practical applications Provides classical and modern (semi-analytical) solutions
A sparkling collection of interviews with African American directors and producers. Bringing together more than thirty candid conversations with filmmakers and producers such as Spike Lee, Gordon Parks, Julie Dash, Charles Burnett, and Robert Townsend, Why We Make Movies delivers a cultural celebration with the tips of a film-school master class. With journalist George Alexander, these revolutionary men and women discuss not only how they got their big breaks, but more importantly, they explore the creative process and what making movies means to them. Why We Make Movies also addresses the business of Hollywood and its turning tide, in a nation where African Americans comprise a sizable portion of the film-going public and go to the movies more frequently than whites. In addition, Alexander’s cast of directors and producers considers the lead roles they now play in everything from documentaries and films for television to broad-based blockbusters (in fact, the highest-grossing film in Miramax history was Scary Movie, directed by Keenen Ivory Wayans). For film buffs and aspiring filmmakers alike, Why We Make Movies puts a long-overdue spotlight on one of the most exciting and cutting-edge segments of today’s silver screen. INTERVIEWS INCLUDE: MELVIN VAN PEEBLES • MICHAEL SCHULTZ • CHARLES BURNETT • SPIKE LEE • ROBERT TOWNSEND • FRED WILLIAMSON • ERNEST DICKERSON • KEENEN IVORY WAYANS • ANTOINE FUQUA • BILL DUKE • FORREST WHITAKER • JULIE DASH • KASI LEMMONS • GINA PRINC-BLYTHEWOOD • JOHN SINGLETON • GEORGE TILLMAN Jr. • REGINALD HUDLIN • WARRINGTON HUDLIN • MALCOLM LEE • EUZHAN PALCY • DOUG McHENRY • DEBRA MARTIN CHASE • St. CLAIR BOURNE • STANLEY NELSON • WILLIAM GREAVES • KATHE SANDLER • CAMILLE BILLOPS • HAILE GERIMA • GORDON PARKS
The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other non-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies.
An "Unusual" new book! "REAL ESTATE HELPFUL TIPS" No other book like it! Learn short-cuts from over 27 yrs. experience. 40 ways to obtain cash. Buying & investing. Rentals, evictions plus applications. Different kinds of mortgages, qualifying for mortgage, FHA assumptions, how to pay mortgage off quicker, credit card debt, get good credit from 0 dollars, foreclosures, refinancing, alligator clauses, remodeling, preventive maintenance, building a house, etc. J.A. Alexander, 428 Hawthorne Drive, Lancaster, PA 17603.
This book presents the role of mesostructure on the properties of composite materials. A complex percolation model is developed for the material structure containing percolation clusters of phases and interior boundaries. Modeling of technological cracks and the percolation in the Sierpinski carpet are described. The interaction of mesoscopic interior boundaries of the material, including the fractal nature of interior boundaries, the oscillatory nature of it interaction and also the stochastic model of the interior boundaries’ interaction, the genesis, structure, and properties are discussed. One of part of the book introduces the percolation model of the long-range effect which is based on the notion on the multifractal clusters with transforming elements, and the theorem on the field interaction of multifractals is described. In addition small clusters, their characteristic properties and the criterion of stability are presented.
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