Trails in Kinetic Theory

Trails in Kinetic Theory
Author: Giacomo Albi
Publisher: Springer Nature
Total Pages: 251
Release: 2021-07-15
Genre: Science
ISBN: 3030671046

In recent decades, kinetic theory - originally developed as a field of mathematical physics - has emerged as one of the most prominent fields of modern mathematics. In recent years, there has been an explosion of applications of kinetic theory to other areas of research, such as biology and social sciences. This book collects lecture notes and recent advances in the field of kinetic theory of lecturers and speakers of the School “Trails in Kinetic Theory: Foundational Aspects and Numerical Methods”, hosted at Hausdorff Institute for Mathematics (HIM) of Bonn, Germany, 2019, during the Junior Trimester Program “Kinetic Theory”. Focusing on fundamental questions in both theoretical and numerical aspects, it also presents a broad view of related problems in socioeconomic sciences, pedestrian dynamics and traffic flow management.

Transport Phenomena and Kinetic Theory

Transport Phenomena and Kinetic Theory
Author: Carlo Cercignani
Publisher: Springer Science & Business Media
Total Pages: 274
Release: 2007-12-03
Genre: Science
ISBN: 0817645543

The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

Kinetic Theory

Kinetic Theory
Author: George Kyzas
Publisher: BoD – Books on Demand
Total Pages: 140
Release: 2018-02-14
Genre: Science
ISBN: 9535138022

The world is governed by motions. The term kinetics partially originated from the Greek word "kinisis," which means motion. How important is motion in our life is easily understood. But, how the kinetic theories have been developed during years? Which are the new kinetic theories and updates in recent years? This question and many others can be answered with this book. Some important areas discussed in this book are the kinetic theory of gases, kinetic theory of liquids and vapors, thermodynamic aspects, transportation phenomena, adsorption-kinetic theories, linear and nonlinear kinetic equations, quantum kinetic theory, kinetic theory of nucleation, plasma kinetic theory, and relativistic kinetic theory.

Transport Phenomena and Kinetic Theory

Transport Phenomena and Kinetic Theory
Author: Carlo Cercignani
Publisher: Birkhäuser
Total Pages: 271
Release: 2006-12-12
Genre: Science
ISBN: 9780817644895

The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

Newton to Einstein: The Trail of Light

Newton to Einstein: The Trail of Light
Author: Ralph Baierlein
Publisher: Cambridge University Press
Total Pages: 350
Release: 1992
Genre: Science
ISBN: 9780521423236

This undergraduate text takes the non-science student from Newton's particles to Einstein's relativity.

Kinetic Theory

Kinetic Theory
Author: S. G. Brush
Publisher: Elsevier
Total Pages: 198
Release: 2016-07-04
Genre: Science
ISBN: 1483138771

Kinetic Theory, Volume I: The Nature of Gases and of Heat deals with kinetic theory and the nature of gases and heat. A comprehensive account of the life, works, and historical environment of a number of scientists such as Robert Boyle and Hermann von Helmholtz is presented. This volume is comprised of 11 chapters and begins with an overview of the caloric theory, the principle of conservation of energy, the ""virial theorem,"" and atomic magnitudes. The discussion then turns to the qualitative atomic theory of the ""spring"" of the air, proposed by Robert Boyle; Isaac Newton's repulsion theory; Daniel Bernoulli's thery on the properties and motions of elastic fluids, especially air; and George Gregory's theory on the existence of fire. Subsequent chapters focus on Robert Mayer's theory on the forces of inorganic nature; James Joule's theory on matter, living force, and heat; Hermann von Helmholtz's theory on the conservation of force; and Rudolf Clausius's theory on the nature of heat. James Clerk Maxwell's dynamical theory of gases is also examined. This book is written primarily for students and research workers in physics, as well as for historians of science.

Kinetic Theory

Kinetic Theory
Author: S. G. Brush
Publisher: Elsevier
Total Pages: 262
Release: 2016-10-27
Genre: Science
ISBN: 1483155935

Kinetic Theory, Volume 2: Irreversible Processes compiles the fundamental papers on the kinetic theory of gases. This book comprises the two papers by Maxwell and Boltzmann in which the basic equations for transport processes in gases are formulated, as well as the first derivation of Boltzmann's “H-theorem and problem of irreversibility. Other topics include the dynamical theory of gases; kinetic theory of the dissipation of energy; three-body problem and the equations of dynamics; theorem of dynamics and the mechanical theory of heat; and mechanical explanation of irreversible processes. This volume is beneficial to physics students in the advanced undergraduate or postgraduate level.