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A novel, simplified approach to particle transport in slabs is given. The number of particles transmitted and reflected by a slab of finite thickness is obtained as a function of the number of collisions the particles receive. This 'orders-of-scattering' solution is facilitated by an invariant imbedding approach which leads to a set of integral recursion relations between transmitted and reflected particle currents. Solutions are given for both one-dimensional and three-dimensional transport in slabs for an arbitrary anisotropic scattering law.
This book explains why cognitive linguistics offers a plausible theoretical framework for a systematic and unified analysis of the syntax and semantics of particle verbs. It explores the meaning of the verb + particle syntax, the particle placement of transitive particle verbs, how particle placement is related to idiomaticity, and the relationship between idiomaticity and semantic extension. It also offers valuable linguistic implications for future studies on complex linguistic constructions using a cognitive linguistic approach, as well as insightful practical implications for the learning and teaching of English particle verbs.
A reference for the field of particle modelling - the study of dynamical behaviour of solids and fluids in response to external forces, with the solids and fluids modelled as systems of atoms and molecules.
From superstring theory to models with extra dimensions to dark matter and dark energy, a range of theoretically stimulating ideas have evolved for physics beyond the standard model. These developments have spawned a new area of physics that centers on the interplay between particle physics and cosmology—astroparticle physics. Providing the necessary theoretical background, Particle and Astroparticle Physics clearly presents the many recent advances that have occurred in these fields. Divided into five parts, the book begins with discussions on group and field theories. The second part summarizes the standard model of particle physics and includes some extensions to the model, such as neutrino masses and CP violation. The next section focuses on grand unified theories and supersymmetry. The book then discusses the general theory of relativity, higher dimensional theories of gravity, and superstring theory. It also introduces various novel ideas and models with extra dimensions and low-scale gravity. The last part of the book deals with astroparticle physics. After an introduction to cosmology, it covers several specialized topics, including baryogenesis, dark matter, dark energy, and brane cosmology. With numerous equations and detailed references, this lucid book explores the new physics beyond the standard model, showing that particle and astroparticle physics will together reveal unique insights in the next era of physics.
This study seeks to contribute to a better understanding of how syntactic variation is affected by probabilistic factors in English as a foreign language (EFL, L2), exemplified by the effect of weight on the syntactic variation with English transitive verb-particle constructions (e.g. look up, sort out) and transitive verb-prepositional phrase (PP) constructions (e.g. take into account, bear in mind). With these constructions, the particle/PP may occur either adjacent to the verb or separated from the verb by a direct object noun phrase (DO NP). Being highly influenced by the weight of the DO NP in native (L1) English, little is known about the factors, including syntactic weight, that govern this variation in L2 English. Against the background of possible native-language transfer, this study examines whether advanced L1-German EFL learners are sensitive to the probabilistic effect of weight on syntactic choices with verb-particle/PP constructions and whether there are differences when compared to English native speakers. Triangulating comparative corpus data and experimental data, i.e. elicited production and elicited assessment, the study provides converging evidence from language production and intuition that the learners have acquired a near-native awareness of weight effects in verb-particle/PP constructions, with differences indicating a tendency to more conservative choices.
This book focuses on the need for and development of a rigorous Nonequilibrium Thermodynamic Theory, as a foundation on which to construct a relativistic particle theory that in turn serves as a self-consistent basis for our reasoning in the quantum, cosmological and life sciences, at the farthest extremes of organized complexity ? and the farthest removes from equilibrium. In Part I, Dr. Hamilton develops general principles and laws, extending those of Classical Thermodynamics, which govern the origin and evolution of systems far from equilibrium. And he shows that these principles act collectively with Heisenberg?s indeterminacy principle, as a Nonequilibrium Thermodynamic Imperative (NTI), a creative driving force in the expansion and evolution of the Universe. In Part II, he proposes fundamental assumptions, alternatives to those in the Standard Model, that lead, seamlessly and self-consistently, to the origin and evolution of the quantum Universe and its transition to the scalar expansion of the Cosmos, in which the force of gravity plays a central role. On this foundation, Part III develops a rational quantum theory in which Gravitational and Symmetry Bound Photons (GSBP) constitute the most fundamental particles in the Universe as dimensional composite fermions (quarks, electrons and positrinos) and bosons, and enabling a GSBP-Schroedinger enhanced description of the dynamics of atomic and molecular systems. And in Part IV, Dr. Hamilton develops a physical, molecular theory of the origin and evolution of life on the early Earth which accounts in natural geophysical terms for the critically important homochirality of all the amino acids in present-day living cells. The Nonequilibrium Thermodynamic Imperative drives and undergirds all creative action, at all levels, from quantum to cosmological, in the expanding Universe, including the Darwinian Natural Selection of species on Earth in which the NTI plays a fundamental physical role.
An accessible and carefully structured introduction to Particle Physics, including important coverage of the Higgs Boson and recent progress in neutrino physics. Fourth edition of this successful title in the Manchester Physics series Includes information on recent key discoveries including: An account of the discovery of exotic hadrons, byond the simple quark model; Expanded treatments of neutrino physics and CP violation in B-decays; An updated account of ‘physics beyond the standard model’, including the interaction of particle physics with cosmology Additional problems in all chapters, with solutions to selected problems available on the book’s website Advanced material appears in optional starred sections
Small-angle scattering (SAS) is the premier technique for the characterization of disordered nanoscale particle ensembles. SAS is produced by the particle as a whole and does not depend in any way on the internal crystal structure of the particle. Since the first applications of X-ray scattering in the 1930s, SAS has developed into a standard metho
Offering a comprehensive treatment of adhesive particle flows, this book adopts a particle-level approach oriented toward directly simulating the various fluid, electric field, collision, and adhesion forces and torques acting on the particles, within the framework of a discrete-element model. It is ideal for professionals and graduate students working in engineering and atmospheric and condensed matter physics, materials science, environmental science, and other disciplines where particulate flows have a significant role. The presentation is applicable to a wide range of flow fields, including aerosols, colloids, fluidized beds, and granular flows. It describes both physical models of the various forces and torques on the particles as well as practical aspects necessary for efficient implementation of these models in a computational framework.