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Published
**1979** by Dept. of Energy, Plasma Physics Laboratory, for sale by the National Technical Information Service] in Princeton, N. J, [Springfield, Va .

Written in English

Read online- Stochastic differential equations.,
- Ions.

**Edition Notes**

Statement | by C. F. F. Karney, Plasma Physics Laboratory, Princeton University. |

Series | PPPL ; 1528, PPPL (Series) -- 1528. |

Contributions | United States. Dept. of Energy., Princeton University. Plasma Physics Laboratory. |

The Physical Object | |
---|---|

Pagination | 69 p. : |

Number of Pages | 69 |

ID Numbers | |

Open Library | OL17649559M |

**Download Stochastic ion heating by a lower hybrid wave, II**

The motion of an ion in a coherent lower hybrid wave (characterized by ‖k∥‖ions satisfying v⊥≳ω/k⊥, the Lorentz force law for the ions is reduced to a set of difference equations which give the Larmor radius and phase of an ion on one cyclotron orbit in terms of these quantities a cyclotron period by: Abstract: The motion of an ion in a coherent lower hybrid wave (characterized by |k_parallel| > Omega_i) in a tokamak plasma is studied.

For ions satisfying v_perp > omega/k_perp, the Lorentz force law for the ions is reduced to a set of difference equations which give the Larmor radius and Stochastic ion heating by a lower hybrid wave of an ion on one cyclotron orbit in terms of these quantities a cyclotron Cited by: The motion of an ion in a coherent lower hybrid wave (characterized by ∣ ∣k ∣ ‖ ≪ |k⊥| and ω ≫ Ωi) in a tokamak plasma is studied.

For ions satisfying v ⊥> ω/k⊥, the Lorentz force law for the ions is reduced to a set of difference equations which give the Larmor radius and phase of an ion on one cyclotron orbit in terms of these quantities a cyclotron period earlier.

By including the effects of collisions, the heating rate for the bulk ions is obtained. The motion of an ion in a coherent lower hybrid wave (characterized by ‖k∥‖<<‖k⊥‖ and ω≳≳Ωi) in a tokamak plasma is studied. The motion of an ion in a coherent lower hybrid wave in a tokamak plasma is studied.

The Lorentz force law for an ion is reduced to a set of difference equations. These equations exhibit stochastic behavior when the wave amplitude exceeds a threshold. The stochasticity threshold is defined and physically explained. The motion of an ion in a coherent lower hybrid wave (characterized by |k_parallel| > Omega_i) in a tokamak plasma is studied.

For ions satisfying v_perp > omega/k_perp, the Lorentz force law for the ions is reduced to a set of difference equations Stochastic ion heating by a lower hybrid wave give the Larmor radius and phase of an ion on one cyclotron orbit in terms of these quantities a cyclotron period : Charles F.

Karney. The motion of an ion in a coherent lower hybrid wave (characterized by |k_parallel| |k_perp| and omega Omega_i) in a tokamak plasma is studied. For ions satisfying v_perp > omega/k_perp, the Lorentz force law for the ions is reduced to a set of difference equations which give the Larmor radius and phase of an ion on one cyclotron orbit in terms of these quantities a cyclotron period : C F F Karney.

The motion of an ion in the presence of a constant magnetic field and a perpendicularly propagating electrostatic wave with frequency several times the ion cyclotron frequency is shown to become Stochastic ion heating by a perpendicularly propagating electrostatic wave | SpringerLinkCited by: Theory of stochastic broadening of ion cyclotron resonances due to scattering of particles by turbulent rf fields has been applied to the problem of lower-hybrid wave instability excited by an energetic ion beam in a magnetized plasma.

We show that resonance broadening play the major role in the case of hydrodynamic cyclotron : E.V. Suvorov, D.A. Ryndyk.

The whole physical mechanism on heating of ions by a low-frequency wave with large amplitude in a low beta plasma is expounded. When the ion velocity reaches the threshold value, the prominent stochastic heating happens.

The ion energy gain and average parallel speed is Cited by: 3. The applicability of the model to the problem of ion heating by waves at the front of collisionless shock as well as ion acceleration by a spectrum of waves is discussed.

Keywords: plasma; ion-cyclotron heating; shocks; beat-wave accelerator 1. Introduction The motion of ions in the lower-hybrid (LH) wave may be the reason for the enhanced particle. PTSG Seminar Emi Kawamura There are two main mechanisms for heating electrons in RF ca- pacitive discharges: ohmic and stochastic heating.

Plasma resistivity due to electron-neutral collisions leads to ohmic heating while mo- mentum transfer from high voltage moving sheaths leads to stochas- tic Size: KB. tude threshold of ion stochastic heating is found to be much lower than that of a monochromatic wave,15 Evidences of ion heating by low-frequency Alfven waves have also been found in laboratory experiments–18 In this paper, we investigate ion stochastic heating by obliquely propagating magnetosonic waves.

Compared with. These are summarized in the first part of the review. Particle acceleration processes are then discussed, with particular emphasis on new developments in stochastic acceleration by magnetohydrodynamic waves and direct electric field acceleration by both sub‐ and super‐Dreicer electric by: The magnetopause and boundary layer are typically characterized by large amplitude transverse wave activity with frequencies below the ion cyclotron frequency.

The signatures of the transverse waves suggest that they are kinetic Alfvén waves with wavelength on the order of the ion gyroradius [ Johnson and Cheng, a; Johnson et al., ].Cited by: A Stochastic Heat Equation u˙ = u00+b(u)+σ(u)W˙; u(0) = u 0 ∈L2[0;1]; u(t ;0) = u(t ;1) = 0 ∀t >0 First pretend that W˙ is a smooth ∃.

solution u from general theory. Apply Duhamel’s principle: u uniquely solves the integral equation u(t ;x) = (P tu 0)(x)+ Z [0;t]×[0;1] p t−s(x;y)b(u(s;y))dsdy Z [0;t]×[0;1] p t−s(x;y)σ(u(s;y))W˙ (s;y)dsdy: Mild form of the.

Stochastic heating and acceleration of minor ions by Alfvén waves Bin Wang,1 C. Wang,1 P. Yoon,2,3 and C.

Wu1,4 Received 11 April ; accepted 12 April ; published 24 May [1] The present paper addresses the stochastic heating of minor ions by obliquely‐propagating low‐frequency Alfvén waves in the solar wind.

This oral history interview presents Roald Z. Sagdeev’s story of plasma physics in Russia. It chronicles the Russian school’s achievements in basic, laboratory, fusion and space plasma physics. The interview begins with memories of Sagdeev’s graduate student days in Moscow and then describes his work at the Kurchatov Institute of Atomic Energy (–), the Budker Institute of Author: Roald Z.

Sagdeev, Patrick H. Diamond. Comments: 11 pages, including 1 figure and 4 pages of tables. Version 2 and 3 fix some minor errors. This translation was edited by Charles F.

Karney and Rodney E. Deakin. A transcription of the original paper is available at arXivFor links to other 18th and 19th century papers on. Examples of current research in frontier areas in which relativistic wave particle interactions are important include plasmabased acceleration of electrons/positrons and ions [1,2,3,4,5,6], direct.

Fast Stochastic Electron Heating in the Ionosphere Candidates for thermal heating, upper hybrid and lower hybrid turbulence. Our work: Develop a model/simulation that Main contribution from the N=2 branch (upper hybrid converts to electron Bernstein wave + lower hybrid).

nearly unmagnetized around lower hybrid frequency. Direct interactions of LHWs with electrons and/or ions are investigated for cases with various k∥/k, Ti/Te, and wave amplitudes. Here, k is wave vector, k∥ is parallel (to static magnetic ﬁeld) wave vector, Ti and Te are ion and electron temperatures, respectively.

In the linearAuthor: Lei Qi. In published studies, the heat flux to the limiters is assumed to be carried to limiter walls by electrons which can absorb a small amount of the launched wave energy via interactions with the lower hybrid modes of high parallel refractive index, and the effects of the sheaths formed in front of the limiter surface are ignored.

In this work Cited by: 1. Stochastic Hybrid Systems achieves an ideal balance between a theoretical treatment of SHS and practical considerations. The book skillfully explores the interaction of physical processes with computerized equipment in an uncertain environment, enabling a better understanding of sophisticated as well as everyday devices and processes.

This article reviews research achievements for the stochastic analysis of heat conduction and related thermal stresses in solids. The objective of this review is to provide researchers and engineers, mainly in the field of heat transfer and thermoelasticity, with basic information useful for assessing the reliability of high-temperature by: 4.

Stochastic heating takes place as a result of wave particle interaction. In this process either the particle or the wave gains the energy from the other. In the present case propagating sheath edge acts as wave.

It is a collisionless process. Chapter 12 discusses wave heating (wave absorption) in hot plasma, in which the thermal velocity of particles is comparable to the wave phase velocity, by use of the dielectric tensor of hot plasma.

Again, the interpretation of these observations is mostly based on the physical processes of wave-particle interactions [39–48], stochastic ion heating, and interaction between particles and coherent structures [50–52]. Despite a significant theoretical effort, there is still no definitive solution to the problem of heavy ions differential Cited by: A Stochastic Control Strategy for Hybrid Electric Vehicles Chan-Chiao Lin1, Huei Peng1, and J.W.

Grizzle2 1 Dept. of Mechanical Engineering, University of Michigan, MI [email protected], [email protected] 2 Dept. of Electrical Engineering and Computer Science, University of Michigan, MI [email protected] Abstract The supervisory control strategy of a hybrid vehicle.

Theoretical issues in modelling ion cyclotron emission associated with transient events in magnetically confined plasmas Bernard Reman, University of Warwick, UK. P Effect of exchange correlation potential on dispersion properties of lower hybrid wave in relativistic degenerate plasma Prerana Sharma, Ujjain Engineering College, India P44File Size: 1MB.

to describe the stochastic diffusion which occurs in veloc-ity space [2]. Using quasilinear analysis, signiﬁcant wave-particle interaction between energetic ions and lower hybrid (LH) waves has been indeed demonstrated to occur [6, 7].

In a recent paper we have investigated the transition be-tween cases in which one coherent LH wave is present in. This "Cited by" count includes citations to the following articles in Scholar. Stochastic ion heating by a lower hybrid wave: II.

CFF Karney. Physics of Fluids 22 (11),Stochastic ion heating by a perpendicularly propagating electrostatic wave. Waves observed in the ocean are extremely irregular and, from a physics standpoint, it seems impossible to describe this chaotic situation.

Scientists can describe the situation by means of a stochastic approach. This book describes the stochastic method for ocean wave analysis. This method provides a route to predicting the characteristics of random ocean waves--information vital for the.

Stochastic wave growth. Robinson. more Physics of Plasmas 2, Fast electron transport and lower hybrid absorbed power profiles from hard x‐ray imaging in the Princeton Beta Experiment‐Modified Mode conversion and electron damping of the fast Alfvén wave in a tokamak at the ion–ion hybrid frequency.

Fuchs, A. dynamical system. Upper and lower bounds in ion velocity are found for stochastic orbits with the lower bound approximately equal to the phase velocity of the slower wave. A threshold condition for the onset of stochasticity that is linear with respect to the wave amplitudes is also derived.

It is shown that the onset of stochasticity occurs. Bellan, Paul and Grabbe, Crockett L. and Hedemann, Mark and Hwang, David Q. and Gould, Roy W. and Levine, Bruce and Kubena, Randy () Proceedings of the Third Topical Conference on Radio Frequency Plasma Heating: held at the California Institute of Technology, Pasadena, California, JanuaryCalifornia Institute of Technology, Pasadena, CA.

Excitation and propagation of Electrostatic Ion Cyclotron (EIC) waves in an rf-sustained argon. plasma are reported along with measurement of dispersion relation. Such waves can be used to. energize the plasmas of a number of promising propulsion concepts.

The wave equation 76 Hamiltonian mechanics 76 Poisson brackets 79 Rigid body rotations 80 Derivation of the KdV equation for ion-acoustic waves i. ii 8. Other Sturm-Liouville problems Lecture 5. Stochastic Processes 1. Probability Fourier’s law in heat conduction (heat ux is a linear function of temperature Cited by: 1.

Development of a Plasma Current Ramp-up Technique for Spherical Tokamaks by the Lower-Hybrid Wave: EXW/P Wallace, G.M. Reduction of Lower Hybrid Current Drive at High Density in Alcator C-Mod: Menmuir, S.

OV/Ra: Martin, P. Overview of. Birth-death processes and stochastic ion channels A birth-death process is a special case of a continuous-time Markov chain where the state transitions are of only two types: "births", which increase the state variable by one and "deaths", which decrease the state by one, see Fig.

The corresponding master equation takes the form d dt. The stochastic heating i) is due to the electrostatic nature of the waves, ii) is more e ective on ions than on electrons, iii) acts predominantly in the perpendicular direction, iv) heats heavy ions more e ciently than lighter ions, and v) may easily provide a drift wave heating rate.Alcator C-Mod was a tokamak (a type of magnetically confined fusion device) that operated between and at the Massachusetts Institute of Technology (MIT) Plasma Science and Fusion Center (PSFC).

Notable for its high toroidal magnetic field (of up to 8 Tesla), Alcator C-Mod holds the world record for volume averaged plasma pressure in a magnetically confined fusion : Tokamak.Stochastic gravitational waves are the relic gravitational waves from the early evolution of the universe.

Much like the Cosmic Micro-wave Background (CMB), which is likely to be the leftover light from the Big Bang, these gravitational waves arise from a large number of random, independent events combining to create a cosmic gravitational wave background.