Boltzmann's Legacy

Boltzmann's Legacy
Author: Jakob Yngvason
Publisher: European Mathematical Society
Total Pages: 288
Release: 2008
Genre: Biography & Autobiography
ISBN: 9783037190579

Ludwig Eduard Boltzmann (1844-1906) was an Austrian physicist famous for his founding contributions in the fields of statistical mechanics and statistical thermodynamics. He was one of the most important advocates for atomic theory when that scientific model was still highly controversial. To commemorate the 100th anniversary of his death in Duino, the International Symposium ``Boltzmann's Legacy'' was held at the Erwin Schrodinger International Institute for Mathematical Physics in June 2006. This text covers a broad spectrum of topics ranging from equilibrium statistical and nonequilibrium statistical physics, ergodic theory and chaos to basic questions of biology and historical accounts of Boltzmann's work. Besides the lectures presented at the symposium the volume also contains contributions specially written for this occasion. The articles give a broad overview of Boltzmann's legacy to the sciences from the standpoint of some of today's leading scholars in the field. The book addresses students and researchers in mathematics, physics, and the history of science.

The Lattice Boltzmann Equation

The Lattice Boltzmann Equation
Author: S. Succi
Publisher: Oxford University Press
Total Pages: 308
Release: 2001-06-28
Genre: Mathematics
ISBN: 9780198503989

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.

Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems

Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems
Author: John Karkheck
Publisher: Springer Science & Business Media
Total Pages: 512
Release: 2012-12-06
Genre: Science
ISBN: 940114365X

Recent years have witnessed a resurgence in the kinetic approach to dynamic many-body problems. Modern kinetic theory offers a unifying theoretical framework within which a great variety of seemingly unrelated systems can be explored in a coherent way. Kinetic methods are currently being applied in such areas as the dynamics of colloidal suspensions, granular material flow, electron transport in mesoscopic systems, the calculation of Lyapunov exponents and other properties of classical many-body systems characterised by chaotic behaviour. The present work focuses on Brownian motion, dynamical systems, granular flows, and quantum kinetic theory.

Statistical Mechanics

Statistical Mechanics
Author: Giovanni Gallavotti
Publisher: Springer Science & Business Media
Total Pages: 344
Release: 2013-11-11
Genre: Science
ISBN: 3662039524

This clear book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility, explaining fundamental concepts in detail.

Foundations Of Probability And Physics - Proceedings Of The Conference

Foundations Of Probability And Physics - Proceedings Of The Conference
Author: Andrei Yu Khrennikov
Publisher: World Scientific
Total Pages: 393
Release: 2001-12-10
Genre: Science
ISBN: 9814489417

In this volume, leading experts in experimental as well as theoretical physics (both classical and quantum) and probability theory give their views on many intriguing (and still mysterious) problems regarding the probabilistic foundations of physics. The problems discussed during the conference include Einstein-Podolsky-Rosen paradox, Bell's inequality, realism, nonlocality, role of Kolmogorov model of probability theory in quantum physics, von Mises frequency theory, quantum information, computation, “quantum effects” in classical physics.

Analytical Mechanics

Analytical Mechanics
Author: Antonio Fasano
Publisher: Oxford University Press on Demand
Total Pages: 788
Release: 2006-04-06
Genre: Mathematics
ISBN: 0198508026

Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems.

Pathways to Modern Chemical Physics

Pathways to Modern Chemical Physics
Author: Salvatore Califano
Publisher: Springer Science & Business Media
Total Pages: 293
Release: 2012-05-26
Genre: Science
ISBN: 364228180X

In this historical volume Salvatore Califano traces the developments of ideas and theories in physical and theoretical chemistry throughout the 20th century. This seldom-told narrative provides details of topics from thermodynamics to atomic structure, radioactivity and quantum chemistry. Califano’s expertise as a physical chemist allows him to judge the historical developments from the point of view of modern chemistry. This detailed and unique historical narrative is fascinating for chemists working in the fields of physical chemistry and is also a useful resource for science historians who will enjoy access to material not previously dealt with in a coherent way.

Nonequilibrium Physics at Short Time Scales

Nonequilibrium Physics at Short Time Scales
Author: Klaus Morawetz
Publisher: Springer Science & Business Media
Total Pages: 499
Release: 2013-03-09
Genre: Science
ISBN: 3662089904

This introductory level text addresses the broad range of nonequilibrium phenomena observed at short time scales. It focuses on the important questions of correlations and memory effects in dense interacting systems. Experiments on very short time scales are characterized, in particular, by strong correlations far from equilibrium, by nonlinear dynamics, and by the related phenomena of turbulence and chaos. The impressive successes of experiments using pulsed lasers to study the properties of matter and of the new methods of analysis of the early phases of heavy ion reactions have necessitated a review of the available many-body theoretical methods. The aim of this book is thus to provide an introduction to the experimental and theoretical methods that help us to understand the behaviour of such systems when disturbed on very short time scales.

Scaling Limits of Interacting Particle Systems

Scaling Limits of Interacting Particle Systems
Author: Claude Kipnis
Publisher: Springer Science & Business Media
Total Pages: 453
Release: 2013-03-09
Genre: Mathematics
ISBN: 3662037521

This book has been long awaited in the "interacting particle systems" community. Begun by Claude Kipnis before his untimely death, it was completed by Claudio Landim, his most brilliant student and collaborator. It presents the techniques used in the proof of the hydrodynamic behavior of interacting particle systems.