Lectures on Quantum Statistics

With Applications to Dilute Gases and Plasmas

Author: Werner Ebeling,Thorsten Pöschel

Publisher: Springer

ISBN: 3030057348

Category: Science

Page: 271

View: 7008


Most of the matter in our universe is in a gaseous or plasma state. Yet, most textbooks on quantum statistics focus on examples from and applications in condensed matter systems, due to the prevalence of solids and liquids in our day-to-day lives. In an attempt to remedy that oversight, this book consciously focuses on teaching the subject matter in the context of (dilute) gases and plasmas, while aiming primarily at graduate students and young researchers in the field of quantum gases and plasmas for some of the more advanced topics. The majority of the material is based on a two-semester course held jointly by the authors over many years, and has benefited from extensive feedback provided by countless students and co-workers. The book also includes many historical remarks on the roots of quantum statistics: firstly because students appreciate and are strongly motivated by looking back at the history of a given field of research, and secondly because the spirit permeating this book has been deeply influenced by meetings and discussions with several pioneers of quantum statistics over the past few decades.

Particle Interactions in High-Temperature Plasmas

Author: Oliver James Pike

Publisher: Springer

ISBN: 331963447X

Category: Science

Page: 144

View: 9644


This thesis makes two important contributions to plasma physics. The first is the extension of the seminal theoretical works of Spitzer and Braginskii, which describe the basics of particle interactions in plasma, to relativistic systems. Relativistic plasmas have long been studied in high-energy astrophysics and are becoming increasingly attainable in the laboratory. The second is the design of a new class of photon–photon collider, which is the first capable of detecting the Breit–Wheeler process. Though it offers the simplest way for light to be converted into matter, the process has never been detected in the 80 years since its theoretical prediction. The experimental scheme proposed here exploits the radiation used in inertial confinement fusion experiments and could in principle be implemented in one of several current-generation facilities.

A Concise Handbook of Mathematics, Physics, and Engineering Sciences

Author: Andrei D. Polyanin,Alexei I. Chernoutsan

Publisher: CRC Press

ISBN: 9781439806401

Category: Mathematics

Page: 1125

View: 823


A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students find difficult to understand. The first part of the book contains chapters on arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, functions of complex variables, integral transforms, ordinary and partial differential equations, special functions, and probability theory. The second part discusses molecular physics and thermodynamics, electricity and magnetism, oscillations and waves, optics, special relativity, quantum mechanics, atomic and nuclear physics, and elementary particles. The third part covers dimensional analysis and similarity, mechanics of point masses and rigid bodies, strength of materials, hydrodynamics, mass and heat transfer, electrical engineering, and methods for constructing empirical and engineering formulas. The main text offers a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws. Numerous examples throughout and references at the end of each chapter provide readers with a better understanding of the topics and methods. Additional issues of interest can be found in the remarks. For ease of reading, the supplement at the back of the book provides several long mathematical tables, including indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential equations.

The Cauchy Problem in Kinetic Theory

Author: Robert T. Glassey

Publisher: SIAM

ISBN: 0898713676

Category: Science

Page: 241

View: 5069


Studies the basic equations of kinetic theory in all of space, and contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations. This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although describing very different phenomena, these equations share the same streaming term.

Particle Physics in Laboratory, Space and Universe

Author: Alexander I Studenikin

Publisher: World Scientific

ISBN: 9814480940

Category: Science

Page: 440

View: 7784


This volume brings together the latest developments within a wide spectrum of topics in particle physics. Covering both theoretical and experimental aspects, areas such as neutrino and astroparticle physics, tests of the Standard Model and beyond, heavy quark physics, non-perturbative QCD, quantum gravity effects and cosmology, physics at the future accelerators, etc. are discussed. Contents:Neutrino PhysicsAstroparticle Physics and CosmologyCP Violation and Rare DecaysHadron PhysicsPhysics at Accelerators and Studies in SM and BeyondNew Developments in Quantum Field TheoryStudies of Exotic PhenomenaProblems of Intelligentsia Readership: Advanced undergraduates and graduate students, and physicists (both theoreticians and experimentalists working in the field of particle and high energy physics, gravitation and cosmology). Keywords:Elementary Particle and High Energy Physics;Electroweak Model and Quantum Chromodynamics;Astroparticle and Neutrino Physics;Gravitation and CosmologyKey Features:Contains review papers on various hot topics, in which the present status of the problems is discussedContributions are updated with the most recent results

Vapor-Liquid Interfaces, Bubbles and Droplets

Fundamentals and Applications

Author: Shigeo Fujikawa,Takeru Yano,Masao Watanabe

Publisher: Springer Science & Business Media

ISBN: 9783642180385

Category: Technology & Engineering

Page: 230

View: 3984


Physically correct boundary conditions on vapor-liquid interfaces are essential in order to make an analysis of flows of a liquid including bubbles or of a gas including droplets. Suitable boundary conditions do not exist at the present time. This book is concerned with the kinetic boundary condition for both the plane and curved vapor-liquid interfaces, and the fluid dynamics boundary condition for Navier-Stokes(fluid dynamics) equations. The kinetic boundary condition is formulated on the basis of molecular dynamics simulations and the fluid dynamics boundary condition is derived by a perturbation analysis of Gaussian-BGK Boltzmann equation applicable to polyatomic gases. The fluid dynamics boundary condition is applied to actual flow problems of bubbles in a liquid and droplets in a gas.

Nonequilibrium Statistical Physics

Author: Gerd Röpke

Publisher: John Wiley & Sons

ISBN: 3527670572

Category: Science

Page: 388

View: 9913


Authored by a well-known expert in the field of nonequilibrium statistical physics, this book is a coherent presentation of the subject suitable for masters and PhD students, as well as postdocs in physics and related disciplines. Starting from a general discussion of irreversibility and entropy, the method of nonequilibrium statistical operator is presented as a general concept. Stochastic processes are introduced as a necessary prerequisite to describe the evolution of a nonequilibrium state. Different standard approaches such as master equations, kinetic equations and linear response theory, are derived after special assumptions. This allows for an insight into the problems of nonequilibrium physics, a discussion of the limits of the approaches, and suggestions for improvements. The method of thermodynamic Green's function is outlined that allows for the systematic quantum statistical treatment of many-body systems. Applications and typical examples are given, as well as fully worked problems.

Unified Non-Local Theory of Transport Processes

Generalized Boltzmann Physical Kinetics

Author: Boris V. Alexeev

Publisher: Elsevier

ISBN: 0444634878

Category: Science

Page: 644

View: 9181


Unified Non-Local Theory of Transport Processess, 2nd Edition provides a new theory of transport processes in gases, plasmas and liquids. It is shown that the well-known Boltzmann equation, which is the basis of the classical kinetic theory, is incorrect in the definite sense. Additional terms need to be added leading to a dramatic change in transport theory. The result is a strict theory of turbulence and the possibility to calculate turbulent flows from the first principles of physics. Fully revised and expanded edition, providing applications in quantum non-local hydrodynamics, quantum solitons in solid matter, and plasmas Uses generalized Boltzmann kinetic theory as an highly effective tool for solving many physical problems beyond classical physics Addresses dark matter and energy Presents non-local physics in many related problems of hydrodynamics, gravity, black holes, nonlinear optics, and applied mathematics