- ISBN 13: 9781441925381
- Unmagnetized Plasmas
- Quantum Plasmadynamics: Unmagnetized Plasmas (Lecture Notes in Physics)
- Plasma dynamics
- Lecture Notes in Physics | Awards | LibraryThing

Softcover reprint of hardcover 1.

## ISBN 13: 9781441925381

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Seller Inventory ING Book Description Springer New York, Condition: Brand New. In Stock. Seller Inventory x Donald Melrose. Publisher: Springer , This specific ISBN edition is currently not available. View all copies of this ISBN edition:. Synopsis About this title The field of quantum plasmas has a long and diverse tradition. From the Back Cover : The field of quantum plasmas has a long and diverse tradition and is becoming of increasing current interest, motivated by applications to micro-electronics and to focused high-power lasers. About the Author : Following completion of his doctoral thesis, in theoretical particle physics at Oxford University in , Don Melrose changed his research interests to plasma astrophysics.

Buy New Learn more about this copy. Other Popular Editions of the Same Title. Sawtooth oscillations as MHD relaxation process in a plasma. The sawtooth oscillation in a tokamak plasma is a spontaneous relaxation process accompanying global instabilities which behave to reduce the internal magnetic energy. The latter appears when a pitch minimum exists in the plasma , and is relevant to the compound sawtooth oscillation.

The MHD relaxation is a restructuring process of the plasma current profile that is competitive with the resistive diffusion.

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Qualitative analysis of nonlinear power oscillation in NSRR. The performance of the automatic control system of NSRR is investigated experimentally and theoretically in connection with the power oscillation. A subsystem in the automatic control system relevant to the onset of the power oscillation is determined, and it is found that the subsystem possesses nonlinearity.

Although the detailed mechanism of the nonlinearity cannot be identified because of lack of signals measured inside the subsystem, the input and output signals imply that the nonlinearity is a sort of backlash. A simplified reactor dynamic model with backlash simulates the dynamics of the NSRR power oscillation. Nonlinear Oscillations in Biology and Chemistry. This volume contains the proceedings of a meeting entitled ' Nonlinear Oscillations in Biology and Chemistry', which was held at the University of Utah May , The papers fall into four major categories: i those that deal with biological problems, particularly problems arising in cell biology, ii those that deal with chemical systems, iii those that treat problems which arise in neurophysiology, and iv , those whose primary emphasis is on more general models and the mathematical techniques involved in their analysis.

Except for the paper by Auchmuty, all are based on talks given at the meeting.

### Unmagnetized Plasmas

The diversity of papers gives some indication of the scope of the meeting, but the printed word conveys neither the degree of interaction between the participants nor the intellectual sparks generated by that interaction. I am indebted to Ms. Toni Bunker of the Department of Mathematics for Computing with networks of nonlinear mechanical oscillators.

Full Text Available As it is getting increasingly difficult to achieve gains in the density and power efficiency of microelectronic computing devices because of lithographic techniques reaching fundamental physical limits, new approaches are required to maximize the benefits of distributed sensors, micro-robots or smart materials.

Biologically-inspired devices, such as artificial neural networks, can process information with a high level of parallelism to efficiently solve difficult problems, even when implemented using conventional microelectronic technologies.

We describe a mechanical device, which operates in a manner similar to artificial neural networks, to solve efficiently two difficult benchmark problems computing the parity of a bit stream, and classifying spoken words. The device consists in a network of masses coupled by linear springs and attached to a substrate by non-linear springs, thus forming a network of anharmonic oscillators.

As the masses can directly couple to forces applied on the device, this approach combines sensing and computing functions in a single power-efficient device with compact dimensions. Scattering of electromagnetic waves into plasma oscillations via plasma particles. A plasma subjected to an intense electromagnetic wave can exhibit a large number of parametric instabilities. An interesting example which has received little attention is the decay of the electromagnetic wave into a plasma oscillation with the excess energy and momentum being carried off by electrons.

This process has been simulated on a one-and-two-halves dimensional electromagnetic code. The incident electromagnetic wave had a frequency near the plasma frequency so that decay into a plasma oscillation and a backscattered electromagnetic wave was excluded. As expected, the threshold for this instability was very large , so it is unlikely that this instability is competitive in most laser plasmas.

Nevertheless, the physical mechanism involved provides a means for absorption of laser light and acceleration of particles in a plasma containing large amplitude plasma oscillations. Experimental analysis of nonlinear oscillations in the undergraduate physics laboratory. In this paper, we present a simple experiment to introduce the nonlinear behaviour of oscillating systems in the undergraduate physics laboratory.

The transverse oscillations of a spring allow reproduction of three totally different scenarios: linear oscillations , nonlinear oscillations reducible to linear for small displacements, and intrinsically nonlinear oscillations. The chosen approach consists of measuring the displacements using video photogrammetry and computing the velocities and the accelerations by means of a numerical differentiation algorithm.

In this way, one can directly check the differential equation of the motion without having to integrate it, or perform an experimental study of the potential energy in each of the analysed scenarios. This experiment allows first year students to reflect on the consequences and the limits of the linearity assumption for small displacements that is so often made in technical studies.

Forced oscillation of hyperbolic equations with mixed nonlinearities. Full Text Available In this paper, we consider the mixed nonlinear hyperbolic equations with forcing term via Riccati inequality.

### Quantum Plasmadynamics: Unmagnetized Plasmas (Lecture Notes in Physics)

Some sufficient conditions for the oscillation are derived by using Young inequality and integral averaging method. Oscillation criteria for fourth-order nonlinear delay dynamic equations. Full Text Available We obtain criteria for the oscillation of all solutions to a fourth-order nonlinear delay dynamic equation on a time scale that is unbounded from above. The results obtained are illustrated with examples. Oscillation criteria for third order delay nonlinear differential equations. Our results generalize and improve some known results for oscillation of third order nonlinear differential equations.

Some examples are given to illustrate the main results.

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Weakly nonlinear electron plasma waves in collisional plasmas. The nonlinear evolution of a high frequency plasma wave in a weakly magnetized, collisional plasma is considered. In addition to the ponderomotive-force- nonlinearity the nonlinearity due to the heating of the electrons is taken into account.

A set of nonlinear equations including the effect Classical Yang-Mills mechanics. Nonlinear colour oscillations. A novel class of solutions of the classical Yang-Mills equations in the Minkowsky space which leads to nonlinear colour oscillations is studied.

The system discribing these oscillations is apparently stochastic. Periodic trajectories corresponding to the solutions are found and studied and it is demonstrated that they constitute at least an enumerable set [ru. This progress report reports work done on a program in nonlinear dynamical aspects of plasma turbulence and transport funded by DOE from The purpose of this program has been to promote the utilization of recent pathbreaking developments in nonlinear science in plasma turbulence and transport and to fully utilize the scientific expertise of Russian fusion and plasma community in collaboration with our group to address outstanding fusion theory problems.

In the work reported in our progress report, we have studied simple models which are motivated by observation on actual fusion devices.

## Plasma dynamics

The models focus on the important physical processes without incorporating the complexity of the geometry of real devices. We have also studied linear stability problems which incorporated important physics issues related to geometry involving closed field lines and open field lines. This allows for a deeper analysis and understanding of the system both analytically and numerically. The strong collaboration between the Russian visitors and the US participants has led to a fruitful and strong research program that taps the complementary analytic and numerical capabilities of the two groups.

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Over the years several distinguished Russian visitors have interacted with various members of the group and set up collaborative work which forms a significant part of proposed research. Novakovskii from the Kurchatov Institute are two such ongoing collaborations. This paper addresses the problem of sharing common nonlinearity among nonautonomous and autonomous oscillators. By choosing a suitable common nonlinear element with the driving point characteristics capable of bringing out chaotic motion in a combined system, we obtain identical chaotic states.

The dynamics of the coupled system is explored through numerical and experimental studies. Employing the concept of common nonlinearity , a simple chaotic communication system is modeled and its performance is verified through Multisim simulation. Using nonlinear systems techniques, this paper analyzes ring oscillator and cross-coupled oscillator circuits, which are essential building blocks in digital systems. The paper first investigates local and global stability properties of an n-stage ring oscillator by making use of its cyclic structure.

## Lecture Notes in Physics | Awards | LibraryThing

It next studies global stability properties of a class of cross-coupled oscillators which admit the representation of a dynamic system in feedback with a static nonlinearity , and presents su cient conditions for almost global convergence of the solutions to a limit cycle when the feedback gain is in the vicinity of a bifurcation point. The result are also extended to the synchronization of interconnected identical oscillator circuits. Downshift of electron plasma oscillations in the electron foreshock region. Fuselier, S. Electron plasma oscillations in the earth's electron foreshock region are observed to shift above and below the local electron plasma frequency.

As plasma oscillations shift downward from the plasma frequency, their bandwidth increases and their wavelength decreases. Observations of plasma oscillations well below the plasma frequency are correlated with times when ISEE 1 is far downstream of the electron foreshock boundary.