The present book provides a contemporary systematic treatment of shock waves in high-temperature collisionless plasmas as are encountered in near Earth space and in Astrophysics. It consists of two parts. Part I develops the complete theory of shocks in dilute hot plasmas under the assumption of absence of collisions among the charged particles when the interaction is mediated solely by the self-consistent electromagnetic fields. Such shocks are naturally magnetised implying that the magnetic field plays an important role in their evolution and dynamics. This part treats subcritical shocks which dissipate flow energy by generating anomalous resistance or viscosity. The main emphasis is, however, on super-critical shocks where the anomalous dissipation is insufficient to retard the upstream flow. These shocks, depending on the direction of the upstream magnetic field, are distinguished as quasi-perpendicular and quasi-parallel shocks which exhibit different behaviours, reflecting particles back upstream and generating high electromagnetic wave intensities. Particle acceleration and turbulence at such shocks become possible and important. Part II treats planetary bow shocks and the famous Heliospheric Termination shock as examples of two applications of the theory developed in part I.
This textbook describes Earth's plasma environment from single particle motion in electromagnetic fields, with applications to Earth's magnetosphere, up to plasma wave generation and wave-particle interaction. The origin and effects of collisions and conductivities are discussed in detail, as is the formation of the ionosphere, the origin of magnetospheric convection and magnetospheric dynamics in solar wind-magnetosphere coupling, the evolution of magnetospheric storms, auroral substorms, and auroral phenomena of various kinds.The second half of the book presents the theoretical foundation of space plasma physics, from kinetic theory of plasma through the formation of moment equations and derivation of magnetohydrodynamic theory of plasmas. The validity of this theory is elucidated, and two-fluid theory is presented in more detail. This is followed by a brief analysis of fluid boundaries, with Earth's magnetopause and bow shock as examples. The main emphasis is on the presentation of fluid and kinetic wave theory, deriving the relevant wave modes in a high temperature space plasma. Plasma instability is the most important topic in all applications and is discussed separately, including a section on thermal fluctuations. These theories are applied to the most interesting problems in space plasma physics, collisionless reconnection and collisionless shock waves with references provided. The Appendix includes the most recent developments in the theory of statistical particle distributions in space plasma, the Kappa distribution, etc, also including a section on space plasma turbulence and emphasizing on new observational developments with a dimensional derivation of the Kolmogorov spectrum, which might be instructive for the student who may worry about its origin.The book ends with a section on space climatology, space meteorology and space weather, a new application field in space plasma physics that is of vital interest when considering the possible hazards to civilization from space.
This book builds on the fluid and kinetic theory of equilibria and waves presented in a companion textbook, Basic Space Plasma Physics (by the same authors), but can also serve as a stand-alone text. It extends the field covered there into the domain of plasma instability and nonlinear theory.The book provides a representative selection of the many possible macro- and microinstabilities in a space plasma, from the Rayleigh-Taylor and Kelvin-Helmholtz to electrostatic and electromagnetic kinetic instabilities. Their quasilinear stabilization and nonlinear evolution and their application to space physics problems are treated. The chapters on nonlinear theory include nonlinear waves, weak turbulence and strong turbulence, all presented from the viewpoint of their relevance to space plasma physics. Special topics include auroral particle acceleration, soliton formation and caviton collapse, anomalous transport, and the theory of collisionless shocks.
This textbook deals with the requirements of space physics. The first part starts with a description of the Earth's plasma environment, followed by a derivation of single particle motions in electromagnetic fields, with applications to the Earth's magnetosphere. Then the origin and effects of collisions and conductivities, formation of the ionosphere, magnetospheric convection and dynamics, and solar wind-magnetosphere coupling are discussed.The second part of the book presents a more theoretical foundation of plasma physics, starting from kinetic theory. Introducing moments of the distribution function permits derivation of the fluid equations, followed by an analysis of fluid boundaries, with the Earth's magnetopause and bow shock as examples. Finally, fluid and kinetic theory are applied to derive the relevant wave modes in a plasma.A representative selection of the many space plasma instabilities and relevant aspects of nonlinear theory is given in a companion textbook, Advanced Space Plasma Physics, by the same authors.
These two volumes chronicle the life of a liberal Jew who came of age in Germany during the relatively enlightened period of the late 19th and early 20th centuries. Rudolf Moos obtained his education in Ulm and, after working in his family’s leather business, went in hope to seek his fortune in Berlin. He founded Salamander, the largest shoe business in Germany, which is still active today. He was a German patriot, who served his country in World War I and received a War Merit Cross (Kriegsverdienstkreuz) for his endeavors. Rudolf Moos lived in Germany in growing despair through the political upheaval and hyperinflation in the aftermath of World War I. He was related to and enjoyed a friendship with Albert Einstein when they both lived in Berlin in the 1920s and early 1930s. Rudolf Moos then experienced the rise of the Nazis and the ever-growing restrictions placed on him and members of his extended family. Anti-Jewish sentiment in Germany rose sharply during 1933, which effectively ended his active life in business and community affairs and give him unsought free time to set out the story of his life. He and his wife were eventually permitted to leave Germany and immigrate to England, where he continued to work on his memoirs during the turmoil of World War II. Volume I of Rudolf Moos’ memoirs, “Rise and Fall”, describes the poisoned atmosphere existing for the Jews in the Germany of the late 1930s, sets out his experiences of humiliation and arrest, the breath of freedom on leaving his Homeland, and his arrival in England as a penniless alien. Chapter 1 focuses on Rudolf Moos’ origins and his father’s family and leather manufacturing company, which initiated trade with East India in the 1880s. It describes the background of Rudolf Moos’ mother, who was a member of the Einstein family, and provides details about the lives of Rafael and Rupert Einstein, her father and grandfather.
In this small text the basic theory of the continuum, including the elements of metric space theory and continuity is developed within the system of intuitionistic mathematics in the sense of L.E.J. Brouwer and H. Weyl. The main features are proofs of the famous theorems of Brouwer concerning the continuity of all functions that are defined on "whole" intervals, the uniform continuity of all functions that are defined on compact intervals, and the uniform convergence of all pointwise converging sequences of functions defined on compact intervals. The constructive approach is interesting both in itself and as a contrast to, for example, the formal axiomatic one.
This textbook begins with a description of the Earth's plasma environment, followed by the derivation of single particle motions in electromagnetic fields, with applications to the Earth's magnetosphere. Also discussed are the origin and effects of collisions and conductivities, formation of the ionosphere, magnetospheric convection and dynamics, and solar wind-magnetosphere coupling.The second half of the book presents a more theoretical foundation of plasma physics, starting with kinetic theory. Introducing moments of distribution function permits the derivation of the fluid equations, followed by an analysis of fluid boundaries, with the Earth's magnetopause and bow shock as examples, and finally, fluid and kinetic theory are applied to derive the relevant wave modes in a plasma.This revised edition seamlessly integrates new sections on magnetopause reconstruction, as well as instability theory and thermal fluctuations based on new developments in space physics. Applications such as the important problems of collisionless reconnection and collisionless shocks are covered, and some problems have also been included at the end of each chapter.
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