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Author: S. Succi Publisher: Oxford University Press ISBN: 9780198503989 Category : Mathematics Languages : en Pages : 308
Book Description
Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.
Author: S. Succi Publisher: Oxford University Press ISBN: 9780198503989 Category : Mathematics Languages : en Pages : 308
Book Description
Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.
Author: Jennifer Hyndman Publisher: Springer ISBN: 3319782355 Category : Computers Languages : en Pages : 173
Book Description
This book discusses the ways in which the algebras in a locally finite quasivariety determine its lattice of subquasivarieties. The book starts with a clear and comprehensive presentation of the basic structure theory of quasivariety lattices, and then develops new methods and algorithms for their analysis. Particular attention is paid to the role of quasicritical algebras. The methods are illustrated by applying them to quasivarieties of abelian groups, modular lattices, unary algebras and pure relational structures. An appendix gives an overview of the theory of quasivarieties. Extensive references to the literature are provided throughout.
Author: Sharpe Stephen R Publisher: World Scientific ISBN: 981454938X Category : Languages : en Pages : 340
Book Description
These six lecture courses provide the background necessary in the understanding of the application of lattice methods to phenomenology, and give examples of interesting applications. The first three introduce the necessary techniques: chiral perturbation theory, heavy quark effective field theory, and lattice gauge theory. The remaining three describe how these techniques are used, mainly in lattice simulations, in the study of interesting phenomenological questions: vacuum structure, finite temperature QCD, and electroweak matrix elements. What distinguishes this volume from others is its focus on providing the background necessary for us to understand the methods and the significance of lattice gauge theory research.
Author: P. Gehlen Publisher: Springer Science & Business Media ISBN: 1468419927 Category : Science Languages : en Pages : 778
Book Description
This book is the proceedings of the Sixth Battelle Colloquium on the Science of Materials. The Colloquium was devoted to a new field of materials science in which computers are used to conduct the experiments. Although the computer methods used have reached a high degree of sophistication, the underlying principles are relatively straightforward and well understood. The interatomic force laws - a vital input into these computations - however are less well understood. Interatomic Potentials and Simulation of Lattice Defects primarily discusses the validity of a variety of force laws - either from a theoretical point of view or through comparisons of experimental results and those obtained with computer simulation. The format used in previous Battelle Institute Colloquia is followed. The opening session was aimed at providing an overall view of the field of interatomic forces and defect calculations by major contributors. It was led by Dr. G. H. Vineyard, one of the pioneers in this field. The second day was devoted to research papers on theoretical and experimental aspects of interatomic forces. The remaining days were devoted to research papers on computer simulation of the four types of defects: point defects, line defects, surface defects, and volume defects.
Author: John Conway Publisher: Springer Science & Business Media ISBN: 1475765681 Category : Mathematics Languages : en Pages : 778
Book Description
The third edition of this definitive and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items.
Author: Hiroshi Toki Publisher: World Scientific ISBN: 9814536814 Category : Languages : en Pages : 339
Book Description
The purpose of this workshop is to discuss the various pictures of color confinement and its consequences on the properties of hadrons. We consider color confinement, chiral symmetry breaking, and the properties of QCD at finite temperature, as the fundamental subjects of QCD. We include discussions on the roles of instantons to hadron physics. We also provide ideas of critical experiments at medium to higher energies to identify the mechanism of color confinement and chiral symmetry breaking.
Author: Francesco Knechtli Publisher: Springer ISBN: 9402409998 Category : Science Languages : en Pages : 149
Book Description
This book provides an overview of the techniques central to lattice quantum chromodynamics, including modern developments. The book has four chapters. The first chapter explains the formulation of quarks and gluons on a Euclidean lattice. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields. Chapter three explains the mathematical and numerical techniques needed to study quark fields and the computation of quark propagators. The fourth chapter is devoted to the physical observables constructed from lattice fields and explains how to measure them in simulations. The book is aimed at enabling graduate students who are new to the field to carry out explicitly the first steps and prepare them for research in lattice QCD.
Author: Yuri Movsisyan Publisher: World Scientific ISBN: 9811254931 Category : Mathematics Languages : en Pages : 561
Book Description
Hyperidentities are important formulae of second-order logic, and research in hyperidentities paves way for the study of second-order logic and second-order model theory.This book illustrates many important current trends and perspectives for the field of hyperidentities and their applications, of interest to researchers in modern algebra and discrete mathematics. It covers a number of directions, including the characterizations of the Boolean algebra of n-ary Boolean functions and the distributive lattice of n-ary monotone Boolean functions; the classification of hyperidentities of the variety of lattices, the variety of distributive (modular) lattices, the variety of Boolean algebras, and the variety of De Morgan algebras; the characterization of algebras with aforementioned hyperidentities; the functional representations of finitely-generated free algebras of various varieties of lattices and bilattices via generalized Boolean functions (De Morgan functions, quasi-De Morgan functions, super-Boolean functions, super-De Morgan functions, etc); the structural results for De Morgan algebras, Boole-De Morgan algebras, super-Boolean algebras, bilattices, among others.While problems of Boolean functions theory are well known, the present book offers alternative, more general problems, involving the concepts of De Morgan functions, quasi-De Morgan functions, super-Boolean functions, and super-De Morgan functions, etc. In contrast to other generalized Boolean functions discovered and investigated so far, these functions have clearly normal forms. This quality is of crucial importance for their applications in pure and applied mathematics, especially in discrete mathematics, quantum computation, quantum information theory, quantum logic, and the theory of quantum computers.
Author: S. Succi
Author: S. Succi
Author: Jennifer Hyndman
Author: Tien D. Kieu
Author: Sharpe Stephen R
Author: 
Author: P. Gehlen
Author: John Conway
Author: Hiroshi Toki
Author: Francesco Knechtli
Author: Yuri Movsisyan