Aspects of Anomalous Transport in Plasmas

Aspects of Anomalous Transport in Plasmas
Author: Radu Balescu
Publisher: CRC Press
Total Pages: 498
Release: 2005-04-01
Genre: Science
ISBN: 9781420034684

Anomalous transport is a ubiquitous phenomenon in astrophysical, geophysical and laboratory plasmas; and is a key topic in controlled nuclear fusion research. Despite its fundamental importance and ongoing research interest, a full understanding of anomalous transport in plasmas is still incomplete, due to the complexity of the nonlinear phenomena involved. Aspects in Anomalous Transport in Plasmas is the first book to systematically consider anomalous plasma transport theory and provides a unification of the many theoretical models by emphasizing interrelations between seemingly different methodologies. It is not intended as a catalogue of the vast number of plasma instabilities leading to anomalous transport; instead it chooses a number of these and emphasizes the aspects specifically due to turbulence. After a brief introduction, the microscopic theory of turbulence is discussed, including quasilinear theory and various aspects of renormalization methods, which leads to an understanding of resonance broadening, mode coupling, trajectory correlation and clumps. The second half of the book is devoted to stochiastic tramsport, using methods based on the Langevin equations and on Random Walk theory. This treatment aims at going beyond the traditional limits of weak turbulence, by introducing the recently developed method of decorrelation trajectories, and its application to electrostatic turbulence, magnetic turbulence and zonal flow generation. The final chapter includes very recent work on the nonlocal transport phenomenon.

Anomalous Transport

Anomalous Transport
Author: Rainer Klages
Publisher: John Wiley & Sons
Total Pages: 614
Release: 2008-09-02
Genre: Science
ISBN: 9783527407224

This multi-author reference work provides a unique introduction to the currently emerging, highly interdisciplinary field of those transport processes that cannot be described by using standard methods of statistical mechanics. It comprehensively summarizes topics ranging from mathematical foundations of anomalous dynamics to the most recent experiments in this field. In so doing, this monograph extracts and emphasizes common principles and methods from many different disciplines while providing up-to-date coverage of this new field of research, considering such diverse applications as plasma physics, glassy material, cell science, and socio-economic aspects. The book will be of interest to both theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic processes. It also forms an ideal starting point for graduate students moving into this area. 18 chapters written by internationally recognized experts in this field provide in-depth introductions to fundamental aspects of anomalous transport.

Thermal Transport in Low Dimensions

Thermal Transport in Low Dimensions
Author: Stefano Lepri
Publisher: Springer
Total Pages: 418
Release: 2016-04-07
Genre: Science
ISBN: 3319292617

Understanding non-equilibrium properties of classical and quantum many-particle systems is one of the goals of contemporary statistical mechanics. Besides its own interest for the theoretical foundations of irreversible thermodynamics(e.g. of the Fourier's law of heat conduction), this topic is also relevant to develop innovative ideas for nanoscale thermal management with possible future applications to nanotechnologies and effective energetic resources. The first part of the volume (Chapters 1-6) describes the basic models, the phenomenology and the various theoretical approaches to understand heat transport in low-dimensional lattices (1D e 2D). The methods described will include equilibrium and nonequilibrium molecular dynamics simulations, hydrodynamic and kinetic approaches and the solution of stochastic models. The second part (Chapters 7-10) deals with applications to nano and microscale heat transfer, as for instance phononic transport in carbon-based nanomaterials, including the prominent case of nanotubes and graphene. Possible future developments on heat flow control and thermoelectric energy conversion will be outlined. This volume aims at being the first step for graduate students and researchers entering the field as well as a reference for the community of scientists that, from different backgrounds (theoretical physics, mathematics, material sciences and engineering), has grown in the recent years around those themes.

Progress in Theoretical Biology

Progress in Theoretical Biology
Author: Fred Snell
Publisher: Elsevier
Total Pages: 367
Release: 2012-12-02
Genre: Science
ISBN: 032315395X

Progress in Theoretical Biology, Volume 2, brings together the significant and timely theoretical developments in particular areas of biology in a critical and synthetic manner. It is concerned with a field which has emerged as an identifiable subdiscipline of the biological sciences. This emergence and recognition signify that biological science has evolved from its initial stage of description and classification into the adolescence of transformation to the quantitative. The book's opening chapter develops a theory that uses a new generalization of statistical mechanics to provide a basis for understanding how the microscopic behavior of nonliving parts can generate the macroscopic appearance of a living aggregate. The subsequent chapters discuss theoretical methods in systematic and evolutionary studies; the theory of neural masses; the design of chemical reaction systems; cooperative processes in biological systems; and the organization of motor systems. This book is intended for the modern biological scientist as well as for the physical scientist who is inquisitive of the ways of the most complex of all processes.

Fractional Kinetics in Solids

Fractional Kinetics in Solids
Author: Vladimir Uchaikin
Publisher: World Scientific
Total Pages: 274
Release: 2013
Genre: Mathematics
ISBN: 9814355437

In this book, a novel approach using equations with derivatives of fractional orders is applied to describe anomalous transport and relaxation in disordered semiconductors, dielectrics and quantum dot systems. A relationship between the self-similarity of transport, the Levy stable limiting distributions and the kinetic equations with fractional derivatives is established. It is shown that unlike the well-known Scher-Montroll and Arkhipov-Rudenko models, which are in a sense alternatives to the normal transport model, fractional differential equations provide a unified mathematical framework for describing normal and dispersive transport. The fractional differential formalism allows the equations of bipolar transport to be written down and transport in distributed dispersion systems to be described.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
Author:
Publisher:
Total Pages: 652
Release: 1994
Genre: Aeronautics
ISBN:

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Fractional Dynamics: Recent Advances

Fractional Dynamics: Recent Advances
Author: Joseph Klafter
Publisher: World Scientific
Total Pages: 530
Release: 2011-10-14
Genre: Mathematics
ISBN: 981446080X

This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject.In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.

High Temperature Plasmas

High Temperature Plasmas
Author: Karl-Heinz Spatschek
Publisher: John Wiley & Sons
Total Pages: 578
Release: 2012-02-02
Genre: Science
ISBN: 3527638121

Filling the gap for a treatment of the subject as an advanced course in theoretical physics with a huge potential for future applications, this monograph discusses aspects of these applications and provides theoretical methods and tools for their investigation. Throughout this coherent and up-to-date work the main emphasis is on classical plasmas at high-temperatures, drawing on the experienced author's specialist background. As such, it covers the key areas of magnetic fusion plasma, laser-plasma-interaction and astrophysical plasmas, while also including nonlinear waves and phenomena. For master and PhD students as well as researchers interested in the theoretical foundations of plasma models.