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	Encyclopedia: Lev Davidovich Landau
		Lev Davidovich Landau (ÐÐµÌÐ² Ð”Ð°Ð²Ð¸ÌÐ´Ð¾Ð²Ð¸Ñ ÐÐ°Ð½Ð´Ð°ÌÑ) (January 22, 1908 â“ April 1, 1968) was a prominent Soviet physicist and winner of the Nobel Prize for Physics whose broad field of work included the theory of superconductivity and superfluidity, quantum electrodynamics, nuclear physics and particle physics.
		In physics, Landau pole is the energy scale (or the precise value of the energy) where a coupling constant (the strength of an interaction) of a quantum field theory becomes infinite.
		Landauâs scientific style was free of the â“ unfortunately fairly widespread â“ tendency to complicate simple things (often on the grounds of generality and rigor which, however, usually turn out to be illusory).
	www.nationmaster.com /encyclopedia/Lev-Davidovich-Landau (1979 words)

	Landau damping - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-09)
		In physics, Landau damping, named after its discoverer, the eminent Russian physicist Lev Davidovich Landau, is the effect of damping (exponential decrease as a function of time) of longitudinal space charge waves in plasma or a similar environment.
		Landau damping occurs due to the energy exchange between a wave with phase velocity v
		Mathematical proof of Landau damping is somewhat involved, requiring the use of integrations countours.
	en.wikipedia.org /wiki/Landau_damping (414 words)

	Damping of Ion Acoustic Waves
		Landau damping is strong when the electron temperature is close to the ion temperature.
		Even at high electron temperatures, ion Landau damping is strong near the ion plasma frequency where the phase velocity decreases to the ion thermal velocity.
		Landau damping remains since the plasma is not turbulent.
	www.physics.ucla.edu /plasma-exp/180E-W97/Damping.html (432 words)

	Lev Landau - Wikipedia, the free encyclopedia
		His accomplishments include the co-discovery of the density matrix method in quantum mechanics, the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second order phase transitions, the Ginzburg-Landau theory of superconductivity, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, and the two-component theory of neutrinos.
		Recognized very early as a child prodigy of mathematics, in 1922, at the age of 14 (a year delayed at his parents' request), Landau enrolled at the Physics Department of Petrograd University, receiving his doctorate in physics at the remarkably young age of 19.
		Apart from his theoretical accomplishments, Landau was the principal founder of a great tradition of theoretical physics in the Soviet Union, sometimes referred to as the "Landau school".
	en.wikipedia.org /wiki/Lev_Davidovich_Landau (312 words)

	Lev Davidovich Landau - Open Encyclopedia (Site not responding. Last check: 2007-10-09)
		Lev Davidovich Landau (Ле́в Дави́дович Ланда́у) (January 22, 1908 – April 1, 1968) was a Russian physicist.
		Landau was born in Baku, Azerbaijan, Russian Empire (now Baky, Azerbaijan).
		de:Lew Dawidowitsch Landau es:Lev Davidovich Landau fr:Lev Landau it:Lev Davidovich Landau ja:レフ・ダヴィドヴィッチ・ランダウ pl:Lew Landau pt:Lev Davidovich Landau ru:Ландау, Лев Давидович
	open-encyclopedia.com /Lev_Davidovich_Landau (233 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		Landau was graduated at 13 from the Gymnasium and, because he was too young to go to the university, attended the Baku Economical Technical School.
		There, Landau's close interest in experimental physics led to his development of the theory of liquid helium, the last of the elements to be liquefied and the most remarkable of all liquids.
		Landau's contributions are partly reflected in such terms as Landau diamagnetism and Landau levels in solid-state physics, Landau damping in plasma physics, the Landau energy spectrum in low-temperature physics, or Landau cuts in high-energy physics.
	www.phy.bg.ac.yu /web_projects/giants/landau.html (867 words)

	landau
		The purpose of the Landau damping system is twofold: to decrease the energy spread of the beam induced by coupled bunch oscillations and to increase the Touschek life-time.
		The Landau cavity system operated at an harmonic of the RF will provide strong nonlinearities and thus damp the longitudinal coherent oscillations and also increase the bunch length by reducing the voltage gradient at the bunch position.
		The Landau damping system is now used in routine operation and another important effect is that only one fill a day is sufficient instead of the previous two.
	www.maxlab.lu.se /acc-phys/projects/landau.htm (500 words)

	Lev_Davidovich_Landau (Site not responding. Last check: 2007-10-09)
		Landau was born into a Jewish family in Baku, Russian Empire (now Baky, Azerbaijan).
		Landau was still only fourteen years old when he entered Baku University (later called the Kirov Azerbaijan State University) in 1922 and by this time he was already enthusiastic about mathematics, physics and chemistry.
		es:Lev Davidovich Landau fr:Lev Landau it:Lev Davidovich Landau ja:レフ・ダヴィドヴィッチ・ランダウ pl:Lew Landau pt:Lev Davidovich Landau ru:Ландау, Лев Давидович zh:列夫·朗道
	www.freecaviar.com /search.php?title=Lev_Davidovich_Landau (509 words)

	Programs for generating Landau damping curves
		To use the Landau damping curves, simply plot the complex shifts of the modes you obtain by performing a computation assuming a linear lattice on the same graph that you plot the stability curve.
		Plots Landau damping curves for a beam with a longitudinal Gaussian distribution, assuming the tune shift per unit emittance longitudinally is 1.
		Plots Landau damping curves for a beam with a longitudinal parabolic-like distribution, assuming the tune shift per unit emittance longitudinally is 1.
	wwwslap.cern.ch /collective/jsberg/landau (555 words)

	Fluid Models of Phase Mixing, Landau Damping, and Nonlinear Gyrokinetic Dynamics -- from Mathematica Information Center (Site not responding. Last check: 2007-10-09)
		Fluidlike models have long been used to develop qualitative understanding of the drift-wave class of instabilities (such as the ion temperature gradient mode and various trapped-particle modes) which are prime candidates for explaining anomalous transport in plasmas.
		Here, the fluid approach is improved by developing fairly realistic models of kinetic effects, such as Landau damping and gyroradius orbit averaging, which strongly affect both the linear mode properties and the resulting nonlinear turbulence.
		These new fluid models of phase mixing and Landau damping are being applied by others to a broad range of applications outside of drift wave turbulence, including strong Langmuir turbulence, laser-plasma interactions, and the alpha-driven toroidicity-induced Alfvén eigenmode (TAE) instability.
	library.wolfram.com /infocenter/Articles/2621 (290 words)

	LEV D. LANDAU (Site not responding. Last check: 2007-10-09)
		Landau theory of second order phase transitions, connection with changes in symmetry, 1937.
		Landau's scientific career ended when he suffered nearly fatal head injuries in an automobile accident in 1962.
		Landau recovered physically, but sadly never regained his mental sharpness.
	theory1.physics.wisc.edu /~ldurand/715html/courseinfo/biographies/landau.html (317 words)

	Prediction of Alfvén Eigenmode Dampings in the Joint European Torus
		From the wavefield, it is clear that simplified models such as radiative damping and continuum damping are not applicable, the first because a standing kinetic wave is created in the core and the second because the kinetic wavelength is comparable with the gap size.
		A reason which may explain the over-estimation of the electron Landau damping in our gyrokinetic calculation could be that we have neglected the reduction of the number of resonant electrons by the trapping in the toroidal magnetic field.
		The agreement achieved for the damping is around 30% for most of the discharge except in the beginning when the gap position varies very rapidly, making the predictions very sensitive to the mode conversion parameters in the plasma core.
	www.nada.kth.se /~jaun/Research/pub/JDMP97/jdmp.html (2219 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
		The damping of a longitudinal plasma wave of finite amplitude is considered.
		It is shown that the Landau result is the first term in a systematic expansion in a small parameter, and the corrections for finite wave amplitude are shown to be fifth order in the small parameter.
		The contributions to the damping from particles with different velocities near the phase velocity are explicitly calculated and this leads to a simple physical picture of the damping process.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=20500540 (195 words)

	Landau-Lifshitz Dynamics: A Research Proposal
		If damping is added, then the magnetic dipole undergoes a spiraling precession, with gradually decreasing precession amplitude.
		The Gilbert equation of motion is an improvement to the Landau-Lifshitz equation of motion.
		The objective of this prelimary study was to attempt to obtain a major loop curve similar to those that have been obtained using earlier potential energy minimization models, for the same simple modeled material.
	www3.sympatico.ca /brianfp/topics/mag/2001_02/doc.html (1014 words)

	[No title]
		Landau Damping of Terrestrial Auroral Hiss D. Morgan, D. Gurnett, J. Winningham, and J. Menietti Chapman Conference on Auroral Plasma Dynamics, October 21-24, 1991, in Minneapolis, MN 5.
		Landau Damping in Asymmetrical Auroral Hiss Events D. Morgan, D. Gurnett, J. Winningham, and J. Menietti 1991 Fall American Geophysical Union Meeting, December 9-13, 1991, in San Francisco, CA 6.
		Landau Damping of Terrestrial Auroral Hiss D. Morgan and D. Gurnett The First Iowa Space Conference, January 24-25, 1992, in Iowa City, IA 7.
	soli.inav.net /~langpk/dave_profess/ddm_resume.txt (711 words)

	Lev Davidovich Landau Article, LevDavidovichLandau Information (Site not responding. Last check: 2007-10-09)
		Lev Davidovich Landau (Ле́вДави́дович Ланда́у) (January 22, 1908 – April 1, 1968) was a Russian physicist.
		Landau was born in Baku, Azerbaijan, Russian Empire (now Baky,Azerbaijan).
		His research group in 1965 transformed into what is now known as Landau Institute forTheoretical Physics.
	www.anoca.org /he/physics/lev_davidovich_landau.html (239 words)

	Gould Bio
		This work gave the first kinetic treatment of ion acoustic waves and the dependence of Landau damping of ion acoustic waves on T /Ti.
		A small initial density (vorticity) disturbance in the plasma is convected with the fluid and when there is differential rotation, this disturbance becomes increasingly sheared into fine thin filaments (mixing), to the point where the initial disturbance is hardly observable.
		This gives rise to collisionless damping (similar to Landau damping) which has be observed and studied experimentally.
	plasma.caltech.edu /Hilights.htm (1247 words)

	conf39-pac97-2 Abstract and PostScript (Site not responding. Last check: 2007-10-09)
		Landau Damping of the Weak Head-Tail Instability for Beams with Quadratic Amplitude-Dependent
		Here we ex-tend the theory to include Landau damping that arises from a quadratic dependence of betatron tune on amplitude, as occurs when octupoles are present in the synchrotron lattice.
		As a numerical example, we determine the octupole strength needed to damp the reported high-order modes observed in the CERN PS for bunches with `LHC characteristics'.
	www.triumf.ca /people/koscielniak/conf39-pac97-2.htm (194 words)

	Conventional Fusion FAQ Glossary Part 12/26 (L)
		* Landau Damping: Damping of a wave propagating in a hot plasma, due to the interaction of the wave with particles whose velocity is close to the phase velocity of the wave.
		This is called Landau Damping, since the loss of energy tends to damp the wave.
		In this case particles transfer energy to the wave; this is called inverse Landau damping.
	www.cs.uu.nl /wais/html/na-dir/fusion-faq/glossary/l.html (2238 words)

	Lev Landau: physicist and revolutionary (June 2002) - Physics World - PhysicsWeb (Site not responding. Last check: 2007-10-09)
		Although Lev Landau was never to work again, he was awarded the Nobel prize later that year and his legacy lives on to this day.
		Landau's published papers are so laconic - consisting mainly of formulae and a few categorical statements on what is right and what is wrong, without sufficient explanation - that even professional physicists often found it hard to understand where his ideas came from.
		In the June issue of Physics World, Alexei Kojevnikov of the University of Georgia in the US explores Landau's life and opinions, which have also been the subject of controversy and confusion.
	physicsweb.org /article/world/15/6/8 (455 words)

	Hinton, Frederick Lee (1967-05-15) Collisionless absorption and emission of electromagnetic waves by a bounded plasma. ...
		Power is found to be absorbed from the incident wave because of the Landau damping of longitudinal plasma waves excited in the plasma.
		If the incident wave frequency is close to one of the plasma wave resonance frequencies, the absorption may be substantial, but only if the Landau damping rate is approximately equal to the radiation damping rate, i.e.
		The width of an absorption line is the sum of the Landau damping and radiation damping widths.
	etd.caltech.edu /etd/available/etd-09182002-132502 (300 words)

	Landau Damping of Sound in a Rarefied Neutral Gas -- from Mathematica Information Center
		Landau Damping of Sound in a Rarefied Neutral Gas
		It is shown that the damping of sound, as measured in highly rarefied neutral gases, can be quantitatively described in terms of Landau damping.
		The theoretical method is based on determining the unknown pressure tensor gradient in the equation of motion by using the solution of the linearized kinetic equation, treating the occurring integrals over velocity space by Landau's integration prescription.
	library.wolfram.com /infocenter/Articles/2067 (220 words)

	SIII 32Influence of Landau damping on Alfvén-wave filamentation (Site not responding. Last check: 2007-10-09)
		SIII 32Influence of Landau damping on Alfvén-wave filamentation
		A detailed description of the dynamics of weakly non-linear Alfvén waves, including Landau damping, can be obtained by an asymptotic analysis of the Vlasov-Maxwell equations.in the case where the typical wavelength is large compared to the Larmor radius.
		Fluids 14, 2733 (1971)], this analysis is extended to include the mean effect of the longitudinal magneto-sonic waves that arises when dealing with Alfvén wave trains.
	www.arcetri.astro.it /~solwind/abstract/node166.html (181 words)

	/export/home/dsl/thesis/latex/bibtex/mybib.bib (Site not responding. Last check: 2007-10-09)
		Atmospheres, Hydrospheres and Space Sciences}, volume={9}, number={10}, year={1991}, month={Oct}, pages={690-5}, abstract={ An expression is derived for the growth (gamma >0) and damping (gamma
		T/sub ///), and this should be taken into account when interpreting observations of natural whistler-mode radio emissions in the Earth's magnetosphere.
		It is pointed out that Landau damping (or the corresponding instability) of the waves under consideration results mainly from the energy exchange between the electrons and the component of the wave electric field parallel to the external magnetic field B/sub 0/.
	nova.stanford.edu /~dsl/bib/mybib/SazhinOct91.html (99 words)

	Physics & Theoretical Colloquia Abstract
		On the Paradox of Landau Damping Disappearance in a Magnetic Field
		Linear theory of wave propagation across a magnetic field associates damping with harmonics of the cyclotron resonance.
		As such, it precludes an analytical transition to conventional Landau damping at zero magnetic field.
	www.lanl.gov /physics/colloquium/abstracts_04_05/abstract_sagdeev.shtml (79 words)

	Joule Dissipation / Ionosphere of Venus - Introduction
		The 100-Hz waves observed at the dayside ionopause were initially identified as whistler mode waves generated at the bow shock, propagating through the magnetosheath to the ionopause [e.g., Scarf et al., 1980b], and it was argued that the waves were transporting energy, providing heat to the dayside ionopause though Landau damping.
		As the waves are generated locally, Landau damping will act to inhibit wave growth, rather than provide a means for energy transport.
		[1991] neglected Landau damping, and the damping of lower hybrid waves argues for an alternative wave mode and instability.
	www-ssc.igpp.ucla.edu /~strange/Joule_paper/Joule_1.html (1272 words)

	Lund University, Doctoral Dissertation (Site not responding. Last check: 2007-10-09)
		This damping can be so strong that it can be an alternative to the feedback systems in some cases.
		It lengthens the bunches, and with this the lifetime, and it introduces Landau damping that damps instabilities.
		In this thesis I present the work at four different electron storage rings where Landau cavities were installed: Firstly, Landau cavities were installed at MAX II where they are used both for damping of instabilities and for lifetime enhancement.
	www.lub.lu.se /cgi-bin/show_diss.pl?db=global&fname=sci_409.html (518 words)

	Publications
		Nonequilibrium relaxation in neutral BCS superconductors: Ginzburg-Landau approach with Landau damping in real time, S. Alamoudi, D. Boyanovsky, S.-Y. Wang, cond-mat/0204239, Phys.
		Non-equilibrium phase transitions in condensed matter and cosmology: spinodal decomposition, condensates and defects, D.Boyanovsky, H. de Vega, R. Holman, lectures delivered at the NATO Advanced Study Institute: Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions, hep-ph/9903534.
		Damping Rates and Mean Free Paths of Soft Fermion Collective Excitations in a Hot Fermion-Gauge-Scalar Theory, S.-Y. Wang, D. Boyanovsky, H.J. de Vega, D.-S. Lee, and Y.J. Ng, hep-ph/9902218,Phys.
	www.phyast.pitt.edu /~boyan/hot_physics/publications.html (837 words)

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