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Superluminal and Negative Group Velocity in the Electromagnetic Wave Propagation 被引量:19
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作者 Huang Zhixun, Lu Guizhen, Guan Jian (Department of Communication Engineering, Beijing Broadcasting Institute, Beijing 100024) 《工程科学(英文版)》 2003年第2期35-39,共5页
In this paper, a penetrating analysis is first made of the superluminal and negative group velocities that occur in the EM wave propagation. Discussed then are the superluminal and negative group velocities which are ... In this paper, a penetrating analysis is first made of the superluminal and negative group velocities that occur in the EM wave propagation. Discussed then are the superluminal and negative group velocities which are in the state of evanescent waves in the waveguide below cutoff(WBCO).Through an experiment in the coaxial photonic crystal a group velocity of 1.5-2.4 times the speed of light are observed in the stop band. 展开更多
关键词 superluminal GROUP VELOCITY NEGATIVE GROUP VELOCITY coaxial PHOTONIC crystal waveguide below cutoff(WBCO)
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On Universal Mechanics and Superluminal Velocities
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作者 Caesar P. Viazminsky Piere K. Vizminiska 《Applied Mathematics》 2014年第17期2728-2738,共11页
In this work we continue to set up the theory of universal space and time and derive the Euclidean form of the scaling transformations. Two types of velocities emerge, inertial and universal, with the former bound by ... In this work we continue to set up the theory of universal space and time and derive the Euclidean form of the scaling transformations. Two types of velocities emerge, inertial and universal, with the former bound by the light velocity c whereas the latter is unbound, and may accommodate consistently particles’ velocities possibly exceeding c. The inertial velocity is the ratio of the simultaneous source’s displacement and the corresponding length of the light trip to the observer, whereas the universal velocity has its familiar meaning for motion in a synchronous inertial frame. Defining the momentum as the product of universal velocity and mass, and utilizing the already established mass-energy equivalence, the mechanics constructed on the bases of the new concepts, named universal mechanics, admits superluminal velocities but yet coincides with the relativistic mechanics in its basic dynamical components and their inter-relations. The possibility of superluminal velocities provides a straight forward explanation of the presence of the μ-meson particles abundantly at the sea level despite their generation at high altitude and their short lifetime. 展开更多
关键词 INERTIAL Velocity superluminal SPEEDS UNIVERSAL MECHANICS
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Measurement Method of Graviton Velocity and Thought on Correcting Lorentz Transformation——The Superluminal Neutrino’s Influence on Special Relativity and Other Physical Theories
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作者 Ping’an Luo 《Journal of Modern Physics》 2012年第4期297-303,共7页
After discovery of the superluminal particle and consideration on development of contemporary physical theory research, also on the existing errors and omissions, the principle of constant light speed is found not a n... After discovery of the superluminal particle and consideration on development of contemporary physical theory research, also on the existing errors and omissions, the principle of constant light speed is found not a necessary condition in derivation of Lorentz Transformation;instead, this thesis proposes the velocity of graviton may feature superluminal, constant velocity in different directions, and independence of inertial reference frame speeds. This is an optional thought of correction. According serial hypothesis, an equation of graviton’s motion trace, i.e., the central curve of nebula density, is established for spiral galaxy. Thus we gain the method to measure velocity of graviton. If to totally avoid problem of limit speed, we have to search for independent of inertia frames, and relevant to space-time properties. Regarding current difficulties of singular points in the Theory of Limited Universe, this thesis points out that the document [1] is the best solution to these difficulties. 展开更多
关键词 Special RELATIVITY LORENTZ Transformation superluminal Graviton Measurement Method of Graviton VELOCITY Singular Point The Theory of Limited Universe
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Developments of Space-Time, Complete Special Relativity, and Superluminal Entangled Communication
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作者 Yi-Fang Chang 《Journal of Philosophy Study》 2022年第7期365-371,共7页
Time and space are two very important basic concepts in philosophy and nature.In special relativity we proved that there are necessarily two symmetrical topological structures separated by the light-cone,which include... Time and space are two very important basic concepts in philosophy and nature.In special relativity we proved that there are necessarily two symmetrical topological structures separated by the light-cone,which includes the generalized Lorentz transformation(GLT)for the spacelike interval,in which phase velocity is superluminal.Based on quantum entanglement as new fifth interaction,we research a simple superluminal entangled communication,whose key is to establish two mutually entangled particles or devices Alice(A)and Bob(B).We observe and control the information of A position,and then can know the corresponding results of the other B.This is not to send directly information each other.It may be superluminal,and should agree and test GLT.Moreover,we research some new possible developments of time and space,such as the fractal dimension extended to the complex dimension,the higher dimensional time,and the arrow of time.A generalized Noether’s theorem is proposed.In quantum theory,we search the higher dimensional complex space in supersymmetry,and the space-time operators. 展开更多
关键词 philosophy of science space time special relativity superluminal quantum entanglement COMMUNICATION
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Neutrinos as Superluminal Particles
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作者 Tsao Chang 《Journal of Modern Physics》 2013年第12期6-11,共6页
Based on parity violation in the weak interaction and evidences from neutrino oscillation, a natural choice is that neutrinos may be superluminal particles with tiny mass. To keep causality for Superluminal particles,... Based on parity violation in the weak interaction and evidences from neutrino oscillation, a natural choice is that neutrinos may be superluminal particles with tiny mass. To keep causality for Superluminal particles, a kinematic time under a non-standard form of the Lorentz transformation is introduced. A Dirac-type equation for Superluminal neutrinos is further investigated, and its solution is brief discussed. This equation can be written in two spinor equations coupled together via tiny mass while respecting maximum parity violation. As a consequence, parity violation implies that the principle of relativity is violated in the weak interaction. 展开更多
关键词 NEUTRINOS superluminal PARITY VIOLATION GGT
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Superluminality and Entanglement in an Electromagnetic Quantum-Relativistic Theory
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作者 Massimo Auci 《Journal of Modern Physics》 2018年第12期2206-2222,共17页
An electromagnetic theory that links quantum and relativistic phenomena in a single context is built. Wave-particle duality is the experimental proof of their common origin. In this context, Quantum Mechanics and Spec... An electromagnetic theory that links quantum and relativistic phenomena in a single context is built. Wave-particle duality is the experimental proof of their common origin. In this context, Quantum Mechanics and Special Relativity are two compatible synergistic theories. The developed theory shows the existence of superluminal effects that suggest an explanation to the entanglement between pairs of particles and photons. 展开更多
关键词 ELECTROMAGNETIC Interactions ELECTRODYNAMICS DIPOLES Quantum-Relativistic Effects Photons Exchange Quanta superluminalITY ENTANGLEMENTS
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Neutrino Oscillations and Superluminal Propagation,in OPERA or Otherwise
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作者 Joao Magueijo 《Journal of Modern Physics》 2013年第1期76-81,共6页
We digress on the implications of recent claims of superluminal neutrino propagation. No matter how we turn it around such behaviour is very odd and sits uncomfortably even within “far-fetched” theories. In the cont... We digress on the implications of recent claims of superluminal neutrino propagation. No matter how we turn it around such behaviour is very odd and sits uncomfortably even within “far-fetched” theories. In the context of non-linear realizations of the Lorentz group (where superluminal misbehaviour is run of the mill) one has to accept rather contrived constructions to predict superluminal properties for the neutrino. The simplest explanation is to require that at least one of the mass states be tachyonic. We show that due to neutrino mixing, the flavor energy does not suffer from the usual runaway pathologies of tachyons. For non-tachyonic mass states the theories become more speculative. A neutrino specific dispersion relation is exhibited, rendering the amplitude of the effect reasonable for a standard Planck energy. This uses the fact that the beam energy is close to the geometrical average of the neutrino and Planck mass;or, seen in another way, the beam energy is unexceptional but its gamma factor is very large. A dispersion relation crossing over from a low energy bradyonic branch to a high energy tachyonic one is also considered. We comment on consistency with SN 1987Awithin these models. 展开更多
关键词 Neutrino Oscillations superluminal Propagation
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Superluminal X-waves in a polariton quantum fluid
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作者 Antonio Gianfrate Lorenzo Dominici +6 位作者 Oksana Voronych Michał Matuszewski Magdalena Stobińska Dario Ballarini Milena De Giorgi Giuseppe Gigli Daniele Sanvitto 《Light(Science & Applications)》 SCIE EI CAS CSCD 2017年第1期311-319,共9页
In this work,we experimentally demonstrate for the first time the spontaneous generation of two-dimensional exciton-polariton X-waves.X-waves belong to the family of localized packets that can sustain their shape with... In this work,we experimentally demonstrate for the first time the spontaneous generation of two-dimensional exciton-polariton X-waves.X-waves belong to the family of localized packets that can sustain their shape without spreading,even in the linear regime.This allows the wavepacket to maintain its shape and size for very low densities and very long times compared to soliton waves,which always necessitate a nonlinearity to compensate the diffusion.Here,we exploit the polariton nonlinearity and uniquely structured dispersion,comprising both positive-and negative-mass curvatures,to trigger an asymmetric four-wave mixing in momentum space.This ultimately enables the self-formation of a spatial X-wave front.Using ultrafast imaging experiments,we observe the early reshaping of the initial Gaussian packet into the X-pulse and its propagation,even for vanishingly small densities.This allows us to outline the crucial effects and parameters that drive the phenomena and to tune the degree of superluminal propagation,which we found to be in close agreement with numerical simulations. 展开更多
关键词 negative mass NONLINEARITY POLARITONS superluminal X-waves
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Pulse generation with ultra-superluminal pulse propagation in semiconductor heterostructures by superradiant-phase transition enhanced by transient coherent population gratings
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作者 Peter P Vasil’ev Richard V Penty Ian H White 《Light(Science & Applications)》 SCIE EI CAS CSCD 2016年第1期737-743,共7页
This paper reports the observation of ultra-superluminal pulse propagation in multiple-contact semiconductor heterostructures in a superradiant emission regime,and shows definitively that it is a different class of em... This paper reports the observation of ultra-superluminal pulse propagation in multiple-contact semiconductor heterostructures in a superradiant emission regime,and shows definitively that it is a different class of emission from conventional spontaneous or stimulated emission.Coherent population gratings induced in the semiconductor medium under strong electrical pumping have been shown to cause a major decrease of the group refractive index,in the range of 5–40%.This decrease is much greater than that caused by conventional carrier depletion or chirp mechanisms.The decrease in refractive index in turn causes faster-than-c propagation of femtosecond pulses.The measurement also proves the existence of coherent amplification of electromagnetic pulses in semiconductors at room temperature,the coherence being strongly enhanced by interactions of the light with coherent transient gratings locked to carrier gratings.This pulse-generation technique is anticipated to have great potential in applications where highly coherent femtosecond optical pulses must be generated on demand. 展开更多
关键词 phase transition population grating SUPERRADIANCE superluminal propagation
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A nonlocal quantum simulator and simulation of superluminality
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《Science Foundation in China》 CAS 2016年第4期22-22,共1页
With the support by the National Natural Science Foundation of China and the Chinese Academy of Sciences(CAS),the research team led by Prof.Li Chuanfeng(李传锋)at the CAS Key Lab of Quantum Information,University of S... With the support by the National Natural Science Foundation of China and the Chinese Academy of Sciences(CAS),the research team led by Prof.Li Chuanfeng(李传锋)at the CAS Key Lab of Quantum Information,University of Science and Technology of China,developed a nonlocal quantum simulator and simulated the superluminality phenomenon in parity-time(PT)world.This study for the first time exhib- 展开更多
关键词 time A nonlocal quantum simulator and simulation of superluminality PT CAS 李传锋
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The Theory of Relativity on the Finsler Spacetime
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作者 Cao ShengLin (Department of Astronomy, Beijing Normal University, Beijing 100875, China) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1995年第4期239-252,共14页
According to some local properties of Lorentz transformation, Einstein stated: "Vetheitiss greater than that of light have no possibility of existence.’ He neglected to point out the applicable range of the spec... According to some local properties of Lorentz transformation, Einstein stated: "Vetheitiss greater than that of light have no possibility of existence.’ He neglected to point out the applicable range of the special theory of relativity. In fact, it could only be applied to the subluminal-speeds. This paper shows that if ones think of the possibility of the existence of the superluminal-speeds and redescribe the special theory of relativity following Einstein’s way, it could be supposed that the physical spacetime is a Finsler spacetime, characterized by the metric ds4=gijkldxidxidxkdxl. If so, a new spactime transformation could be found by invariant ds4 and the theory of relativity is discussed on this transformation it is possible that the Finsler spacetime F(x,y) may be endowed with a catastrophic nature. Based on the different properties between the ds2 and ds4, it is discussed that the flat spacetime will also have the catastrophic nature on the Finsler metric ds4. The spacetime transformations and the Physical quantities will suddenly change at the catastrophe set of the spacetime, the light cone. It will be supposed that only the dual velocity of the superluminal-speeds could be observed. If so, a particle with the superluminal-speed v> c could be regarded as its anti-particle with the dual velocity v1=c2/ v< c. On the other hand, it could be assumed that the horizon of the field of the general relativity is also a catastrophic set. If so, a particle with the superluminal-speeds could be projected near the horizon of these fields, and the particle will move on the sauce-like curves. It is very interesting that, in the Schwarzschild fields, the theoretical calculation for the sauce-like curves should be in agreement with tie data of the superluminal expansion of extragalactic radio sources observed year after year. (see Gao, 1992b).The ca- tastrophe of spacetime has some deep cosmological means. According to the some interested subjects in the Process of evolution of the universe the catastrophe nature of the Finsler spacetime and its cosmological impli= cations are discussed. It is shown that the nature of the universal evolution could be attributed to the geometric features of the Finsler spacetime. (see Cao, 1993) 展开更多
关键词 THEORY of RELATIVITY Finsler spacetime superluminal-speed Subluminal-speed Catastrophe THEORY superluminal expansion EXTRAGALACTIC radio sources Cosmology
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Blazars天体喷流光度和非成束光度的比值(英文)
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作者 彭智敏 张江水 樊军辉 《天文研究与技术》 CSCD 北大核心 2003年第S1期103-106,共4页
根据聚束模型 ,利用 3 8个超光速射电源数据 ,估计他们的喷流光度和非成束光度的比值 <RT >.
关键词 RELATIVISTIC Beaming Model superluminal MOTION BLAZARS
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Spacetime as an Emergent Phenomenon: A Possible Way to Explain Entanglement and the Tunnel Effect
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作者 P. Castro M. Gatta +1 位作者 J. R. Croca R. Moreira 《Journal of Applied Mathematics and Physics》 2018年第10期2107-2118,共12页
Entanglement and the tunnel effect phenomena have been repeatedly observed and are generically accepted under orthodox quantum mechanics formalism. However, they remain rather inexplicable in the context of spacetime ... Entanglement and the tunnel effect phenomena have been repeatedly observed and are generically accepted under orthodox quantum mechanics formalism. However, they remain rather inexplicable in the context of spacetime usual conceptualization. In the present work, we suggest an alternative quantum mechanics formalism, refining the pilot-wave theory initially proposed by de Broglie. We suggest that spacetime is an emergent phenomenon from a prior subquantum medium and that entanglement and the tunnel effect can be explained in terms of a nonlinear relation between space and time that is imposed by subquantum waves. 展开更多
关键词 SPACETIME Emergent Phenomena ENTANGLEMENT TUNNEL Effect Subquantum Medium Nonlinear Relation Subquantum Wave superluminal VELOCITIES
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A Tentative Observation Design for Investigating the Morphology of Dark Matter in the Universe
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作者 Jing Liu Zijia Lin Ziheng Shan 《Natural Science》 2020年第11期699-716,共18页
Unlike the luminous objects observed, dark matter does not emit light but can be only detected by its gravitational effect. Modern cosmology considers that most matter in Universe is dark matter. However, it is still ... Unlike the luminous objects observed, dark matter does not emit light but can be only detected by its gravitational effect. Modern cosmology considers that most matter in Universe is dark matter. However, it is still not clear what the dark matter was. Two origins have been proposed by astrophysicists, astrophysics candidates and particle physics candidates. The most differences are their morphology, the former are compact objects and the latter are dispersed. Under Einstein</span><span style="font-family:Verdana;">’</span><span style="font-family:""><span style="font-family:Verdana;">s theory of general relativity, light bends as it passes near a compact object, creating a convergence effect like a lens. When background light source, intervening lense and the observer lie on a straight line, the brightness of the background source will be significantly magnified. In astrophysics, this effect is called microlensing. If compact dark matter is abundant in the universe, it is possible to frequently observe “microlensing” events when observing high redshift objects, </span><i><span style="font-family:Verdana;">i.e.</span></i><span style="font-family:Verdana;"> the objects temporarily brighten for a certain time. The microlensing technique has been applied to study the dark matter in halo of Milky Way. The difficulty occurs when applying to study the cosmic dark matter as the crossing time of cosmic microlensing events </span></span><span style="font-family:Verdana;">is</span><span style="font-family:Verdana;"> too long for observations. Apparent superluminal jets in bright quasars are idea background objects, significantly enhancing the efficiency of cosmic microlensing survey. Here, we tentatively designed an observational experiment to study the morphology of dark matter in Universe via statistics of microlensing events towards luminous quasars with apparent superluminal jets. 展开更多
关键词 COSMOLOGY Dark Matter Gravitational Microlensing Apparent superluminal Motion
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A Supplement to the Invariance Principle of the Speed of Light and the Quantum Theory
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作者 Yuanjie Li Wenchuan Jia Jiale Wang 《Journal of Modern Physics》 2015年第2期126-130,共5页
Richard Feynman once said, “I think it is safe to say that no one understands Quantum Mechanics”. The well-known article on the Einstein-Podolsky-Rosen (EPR) paradox brought forth further doubts on the interpretatio... Richard Feynman once said, “I think it is safe to say that no one understands Quantum Mechanics”. The well-known article on the Einstein-Podolsky-Rosen (EPR) paradox brought forth further doubts on the interpretation of quantum theory. Einstein’s doubt on quantum theory is a doubleedged sword: experimental verification of quantum theory would contradict the hypothesis that speed of light is finite. It has been almost a century since the creation of quantum theory and special relativity, and the relevant doubts brought forward remain unresolved. We posit that the existence of discontinuity points and quantum wormholes would imply superluminal phenomenon or infinite speed of light, which provides for an important supplement to the invariance principle of the speed of light and superluminal phenomena. This can potentially resolve the inconsistency between special relativity and quantum theory. 展开更多
关键词 INVARIANCE PRINCIPLE of the Speed of Light superluminal Phenomena Uncertainty PRINCIPLE QUANTUM NONLOCALITY QUANTUM WORMHOLES
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The Relativistic Mechanic Theory of the String
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作者 Mohamed Salem 《Journal of Modern Physics》 2015年第4期374-380,共7页
In this article, a novel speculative method is used to derive the relativistic mechanic that governs the motion of the vibrating string within the compactified-dimensions spacetime. This mechanic claims that the relat... In this article, a novel speculative method is used to derive the relativistic mechanic that governs the motion of the vibrating string within the compactified-dimensions spacetime. This mechanic claims that the relativistic mechanic of the special relativity should be only valid for the motion within the familiar four-dimensional spacetime. However, our novel mechanic is valid for the motion within the compactified-dimensions spacetime predicted by the string theory. The equations of this new mechanic show that the vibrating string can move within the compactified dimensions in a speed that is faster than light. It is also shown that this new relativistic mechanic goes to the classical Newtonian mechanic whenever the speed of the vibrating string is much less than the speed of light. Since the proposed mechanic does not prohibit the existence faster than light motion, it may uncover some of the mysteries regarding the string theory, such as the existence of tachyon and time travel. The main goal of this paper is to show that the motion within the compactified-dimensions spacetime obeys a different relativistic mechanic that will provide a startling and revolutionary perspective on the universe and answer some of the fundamental questions posed in the modern physics. 展开更多
关键词 STRING Theory TACHYON superluminal Motion Special RELATIVITY ELEMENTARY Particles
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Gravity and Faster than Light Particles
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作者 Asher Yahalom 《Journal of Modern Physics》 2013年第10期1412-1416,共5页
In this paper, I discuss whether superluminal particles exist in the general relativistic theory of gravity. It seems that the answer to this question is negative. In truth, the result may only represent a difficulty ... In this paper, I discuss whether superluminal particles exist in the general relativistic theory of gravity. It seems that the answer to this question is negative. In truth, the result may only represent a difficulty to special but not general relativity, the later allowing both Lorentzian and Euclidian metrics. An Euclidian metric does not restrict speed. Although only the Lorentzian metric is stable, an Euclidian metric can be created under special gravitational circumstances and persist in a limited region of space-time causing possible superluminality. 展开更多
关键词 General RELATIVITY Euclidian Metric superluminalITY
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Neutrino Temporal Oscillation
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作者 Russell Bagdoo 《Journal of Modern Physics》 2021年第4期513-535,共23页
We conjecture the existence of massless neutrinos that are in the line of Standard Model (unable to account for the neutrino mass) but have characteristics that are not accounted for the Standard Model: they use a sho... We conjecture the existence of massless neutrinos that are in the line of Standard Model (unable to account for the neutrino mass) but have characteristics that are not accounted for the Standard Model: they use a shorter radial path than the photon and possess bosonic flavors, considered like bosons instead of fermions. We call this theory “neutrino temporal oscillation”. Faced with some experimental comparisons solar neutrinos, neutrinos from SN 1987A, cosmological neutrinos, the theory gives better results, explanations and sense than the complicated theory of neutrino oscillations (transformism). The deficit of detection of solar neutrinos would have been blindly attributed to the “neutrino oscillation” by physicists who quickly concluded that the neutrino and the photon follow the same transverse path. The “OPERA” experiment which measured the speed of neutrinos in 2011 resulted, after a “superluminal” saga, in neutrino speeds consistent with the speed of light, in data that the three existing types of neutrinos cannot explain, with the final outcome of a fourth “sterile” neutrino with non-standard interaction. OPERA findings aren’t just in conflict with existing theory, but other measurements as well. For example, a study from the Kamiokande II experiment in Japan of the supernova SN1987A found that light and neutrinos that departed this exploded star arrived at Earth within hours of each other. Even though measurements of the neutrinos emitted by this supernova strongly suggest that their speeds differ from light by less than one part in a billion, the fact remains that two types of data were collected, and that only one was retained to be consistent with the existing theory. Thus, the OPERA observation is in conflicts with the result of SN1987A, which itself is highly doubtful. And what about the neutrinos and antineutrinos born during the big bang, except that they were never detected and there is nothing to indicate that their speed could be other than that of light. Neutrino physics seems sick, belief is transformed into evidence. The theory of “Neutrino temporal oscillation” shows hint that massless neutrinos can take a shortcut through the three spatial dimensions of the space-time that we know. It represents within the Standard Model an open window on a “new physics” that has a connection with physical reality. 展开更多
关键词 Apparent superluminal Neutrinos General Relativity Neutrino Oscillation Neutrino “Temporal” Oscillation “Bosonic” Flavors Radial Path (Longitudinal) Transverse Path Longitudinal Waves toc of the Neutrino Transverse Waves tc of the Photon False Flux of Neutrinos True Flux of Neutrinos
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DUAL RELATIVISTIC EFFECTS IN RADIO JETS OF ACTIVE GALACTIC NUCLEI
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作者 钱善瑎 《Chinese Science Bulletin》 SCIE EI CAS 1988年第13期1097-1101,共5页
The apparent superluminal motions observed in some compact radio sources are an important astrophysical phenomenon. Recent VLBI (Very Long Baseline Interfer- ometer) observations have found that a new knot C4 which wa... The apparent superluminal motions observed in some compact radio sources are an important astrophysical phenomenon. Recent VLBI (Very Long Baseline Interfer- ometer) observations have found that a new knot C4 which was just ejected from the nucleus of the superluminal source 3C345 was both moving and expanding su- perluminally. So this is an apparent dual-superluminal phenomenon. If such a phe- 展开更多
关键词 EXTRAGALACTIC RADIO SOURCES superluminal MOTION RELATIVISTIC effect
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Dynamic evolution of outer radiation belt electrons driven by superluminous R-X mode waves 被引量:7
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作者 XIAO FuLiang1,2, CHEN LiangXu1, HE YiHua1 & YANG Chang1 1 School of Physics and Electronic Sciences, Changsha University of Science and Technology, Changsha 410004, China 2 State Key Laboratory of Space Weather, Chinese Academy of Sciences, Beijing 100190, China 《Science China(Technological Sciences)》 SCIE EI CAS 2010年第10期2734-2738,共5页
We present initial results on the temporal evolution of the phase space density (PSD) of the outer radiation belt energetic electrons driven by the superluminous R-X mode waves. We calculate diffusion rates in pitch a... We present initial results on the temporal evolution of the phase space density (PSD) of the outer radiation belt energetic electrons driven by the superluminous R-X mode waves. We calculate diffusion rates in pitch angle and momentum assuming the standard Gaussian distributions in both wave frequency and wave normal angle at the location L=6.5. We solve a 2D momentum-pitch-angle Fokker-Planck equation using those diffusion rates as inputs. Numerical results show that R-X mode can produce significant acceleration of relativistic electrons around geostationary orbit,supporting previous findings that superluminous waves potentially contribute to dramatic variation in the outer radiation belt electron dynamics. 展开更多
关键词 wave-particle interaction superluminous R-X WAVES phase space density evolution RADIATION BELT ELECTRONS
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