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Journal articles on the topic 'Asymptotic of the grazing collisions'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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1

He, Lingbing. "Asymptotic Analysis of the Spatially Homogeneous Boltzmann Equation: Grazing Collisions Limit." Journal of Statistical Physics 155, no. 1 (2014): 151–210. http://dx.doi.org/10.1007/s10955-014-0932-z.

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2

Fournier, Nicolas, and David Godinho. "Asymptotic of Grazing Collisions and Particle Approximation for the Kac Equation without Cutoff." Communications in Mathematical Physics 316, no. 2 (2012): 307–44. http://dx.doi.org/10.1007/s00220-012-1578-9.

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3

DEGOND, P., and B. LUCQUIN-DESREUX. "THE FOKKER-PLANCK ASYMPTOTICS OF THE BOLTZMANN COLLISION OPERATOR IN THE COULOMB CASE." Mathematical Models and Methods in Applied Sciences 02, no. 02 (1992): 167–82. http://dx.doi.org/10.1142/s0218202592000119.

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The Fokker-Planck collision operator is usually considered as an approximation of the Boltzmann collision operator when the collisions become grazing. A mathematical framework to this approach has recently been given in Ref. 2, by assuming that the scattering cross-section is smooth and depends upon a small parameter ε which tends to zero. However, the connection between ε and the physical quantities is unclear. In the present paper, our main concern is the Boltzmann operator for Coulomb collisions and its Fokker-Planck approximation. In the case of Coulomb collisions, the scattering cross-sec

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4

Godinho, David. "Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials." Stochastic Processes and their Applications 123, no. 11 (2013): 3987–4039. http://dx.doi.org/10.1016/j.spa.2013.06.005.

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5

Toscani, G. "The grazing collisions asymptotics of the non cut-off Kac equation." ESAIM: Mathematical Modelling and Numerical Analysis 32, no. 6 (1998): 763–72. http://dx.doi.org/10.1051/m2an/1998320607631.

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6

Desvillettes, L. "On asymptotics of the Boltzmann equation when the collisions become grazing." Transport Theory and Statistical Physics 21, no. 3 (1992): 259–76. http://dx.doi.org/10.1080/00411459208203923.

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7

Goudon, T. "On boltzmann equations and fokker—planck asymptotics: Influence of grazing collisions." Journal of Statistical Physics 89, no. 3-4 (1997): 751–76. http://dx.doi.org/10.1007/bf02765543.

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8

He, Lingbing, and Xiongfeng Yang. "Well-Posedness and Asymptotics of Grazing Collisions Limit of Boltzmann Equation with Coulomb Interaction." SIAM Journal on Mathematical Analysis 46, no. 6 (2014): 4104–65. http://dx.doi.org/10.1137/140965983.

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9

LI, XIAN, JUNLONG TIAN, SHIWEI YAN, JINXIA CHENG, and XIANG JIANG. "ANGULAR DISTRIBUTIONS OF FRAGMENTS PRODUCED IN TERNARY REACTION OF 197Au+197Au AT 15 A MeV." Modern Physics Letters A 26, no. 06 (2011): 449–60. http://dx.doi.org/10.1142/s0217732311034876.

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Angular distributions of fragments have been studied for 197 Au +197 Au ternary reactions at bombarding energy 15 A MeV by an improved quantum molecular dynamics model. The calculated results are qualitatively in agreement with the experimental data. Through analyzing the angular distributions of fragments, it is shown that in semi-peripheral collisions 197 Au +197 Au interacting system often reseparates into three massive fragments which are almost aligned in space along the separation axis. The anisotropic distribution in azimuthal angle ϕ shows that the projectile-like fragment (PLF) or tar

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10

Gravielle, M. S. "Grazing Ion-Surface Collisions." Physica Scripta 110 (2004): 398. http://dx.doi.org/10.1238/physica.topical.110a00398.

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11

Dewangan, D. P. "Asymptotic methods in Rydberg collisions." Journal of Physics B: Atomic, Molecular and Optical Physics 35, no. 19 (2002): L427—L434. http://dx.doi.org/10.1088/0953-4075/35/19/102.

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12

Gravielle, M. S., and J. E. Miraglia. "Axial grazing collisions with insulator surfaces." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 258, no. 1 (2007): 21–27. http://dx.doi.org/10.1016/j.nimb.2006.12.083.

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13

Lucquin-Desreux, B., and S. Mancini. "A Finite Element Approximation of Grazing Collisions." Transport Theory and Statistical Physics 32, no. 3-4 (2003): 279–305. http://dx.doi.org/10.1081/tt-120024765.

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14

Winther, Aage. "Grazing reactions in collisions between heavy nuclei." Nuclear Physics A 572, no. 1 (1994): 191–235. http://dx.doi.org/10.1016/0375-9474(94)90430-8.

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15

Gravielle, M. S. "Binary mechanism in grazing ion-surface collisions." Physical Review A 58, no. 6 (1998): 4622–29. http://dx.doi.org/10.1103/physreva.58.4622.

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16

Chu, W. Kwang-Hua. "Enhanced stationary flow due to grazing collisions." Journal of Physics A: Mathematical and General 33, no. 40 (2000): 7103–8. http://dx.doi.org/10.1088/0305-4470/33/40/307.

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17

Juaristi, J. I., and F. J. García de Abajo. "Energy loss in grazing proton-surface collisions." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 90, no. 1-4 (1994): 252–56. http://dx.doi.org/10.1016/0168-583x(94)95550-6.

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18

Ponce, V. H., L. F. de Ferrariis, O. Grizzi, M. L. Martiarena, and E. A. Sánchez. "Forward electron emission in grazing ion-surface collisions." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 232, no. 1-4 (2005): 37–46. http://dx.doi.org/10.1016/j.nimb.2005.03.022.

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19

Sorensen, J. H., and A. Winther. "Single-particle transfer in grazing heavy-ion collisions." Journal of Physics G: Nuclear and Particle Physics 17, no. 3 (1991): 341–84. http://dx.doi.org/10.1088/0954-3899/17/3/014.

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20

Martiarena, M. L., E. A. Sánchez, O. Grizzi, and V. H. Ponce. "Binary-electron emission in grazing ion-surface collisions." Physical Review A 53, no. 2 (1996): 895–901. http://dx.doi.org/10.1103/physreva.53.895.

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21

St?ckl, J., C. Lemell, HP Winter, and F. Aumayr. "Electron Emission in Grazing HCl?LiF(001) Collisions." Physica Scripta T92, no. 1 (2001): 135–37. http://dx.doi.org/10.1238/physica.topical.092a00135.

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22

Alducin, M., and J. I. Juaristi. "Auger deexcitation rates in grazing atom-surface collisions." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 98, no. 1-4 (1995): 424–28. http://dx.doi.org/10.1016/0168-583x(95)00160-3.

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23

Sánchez, E. A., O. Grizzi, M. L. Martiarena, and V. H. Ponce. "Forward electron emission in grazing ion-surface collisions." Physical Review Letters 71, no. 5 (1993): 801–4. http://dx.doi.org/10.1103/physrevlett.71.801.

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24

Zimmy, Rainer. "Study of H− formation in grazing surface collisions." Surface Science Letters 292, no. 3 (1993): A614. http://dx.doi.org/10.1016/0167-2584(93)90891-l.

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25

Zimny, Rainer. "Study of H− formation in grazing surface collisions." Surface Science 292, no. 3 (1993): 325–41. http://dx.doi.org/10.1016/0039-6028(93)90338-k.

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26

Rao, M. Rama Mohana, and V. N. Pal. "Asymptotic stability of grazing systems with unbounded delay." Journal of Mathematical Analysis and Applications 163, no. 1 (1992): 60–72. http://dx.doi.org/10.1016/0022-247x(92)90277-k.

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27

Svahn, Fredrik, and Harry Dankowicz. "Controlled onset of low-velocity collisions in a vibro-impacting system with friction." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2112 (2009): 3647–65. http://dx.doi.org/10.1098/rspa.2009.0207.

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This paper investigates the onset of low-velocity, near-grazing collisions in an example vibro-impacting system with dry friction with particular emphasis on feedback control strategies that regulate the grazing-induced bifurcation behaviour. The example system is characterized by a twofold degeneracy of grazing contact along an extremal stick solution that is shown to result in a locally one-dimensional and piecewise-linear description of the near-grazing dynamics. Explicit control strategies are derived that ensure a persistent, low-impact-velocity, steady-state response across the critical

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28

Winter, H., P. Strohmeier, and J. Burgdörfer. "Emission of convoy electrons after grazing ion-surface collisions." Physical Review A 39, no. 8 (1989): 3895–901. http://dx.doi.org/10.1103/physreva.39.3895.

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29

Catara, F., and U. Lombardo. "Non-linear effects and multiphonon excitations in grazing collisions." Nuclear Physics A 455, no. 1 (1986): 158–68. http://dx.doi.org/10.1016/0375-9474(86)90349-0.

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30

Alducin, M., F. J. García de Abajo, and P. M. Echenique. "Auger intra-atomic transitions in grazing atom-surface collisions." Physical Review B 49, no. 20 (1994): 14589–98. http://dx.doi.org/10.1103/physrevb.49.14589.

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31

Niehaus, A., P. Eeken, and G. Spierings. "Processes in low-energy grazing incidence ion-surface collisions." Journal of Physics: Condensed Matter 5, no. 33A (1993): A253—A254. http://dx.doi.org/10.1088/0953-8984/5/33a/084.

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32

Martiarena, M. L., E. A. Sanchez, O. Grizzi, and V. H. Ponce. "Ionization processes in ion-surface collisions at grazing incidence." Journal of Physics: Condensed Matter 5, no. 33A (1993): A285—A286. http://dx.doi.org/10.1088/0953-8984/5/33a/098.

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33

Winter, H. "Population of NaI-terms in grazing ion surface collisions." Zeitschrift f�r Physik D Atoms, Molecules and Clusters 17, no. 2 (1990): 109–17. http://dx.doi.org/10.1007/bf01437664.

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34

de Abajo, F. J. García, and P. M. Echenique. "Ion-induced electron emission in grazing ion-surface collisions." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 79, no. 1-4 (1993): 15–20. http://dx.doi.org/10.1016/0168-583x(93)95274-9.

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35

Zardi, F. "A comprehensive eikonal approach to heavy-ion grazing collisions." Il Nuovo Cimento A 109, no. 8 (1996): 1219–37. http://dx.doi.org/10.1007/bf02798824.

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36

Jequier, S., H. Jouin, C. Harel, and F. A. Gutierrez. "Simulations of electron transfer in grazing incidence ion–surface collisions." Surface Science 570, no. 3 (2004): 189–204. http://dx.doi.org/10.1016/j.susc.2004.07.040.

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37

Díaz, C., P. Rivière, and F. Martín. "Molecular effects in grazing incidence collisions of H2with metal surfaces." Journal of Physics: Conference Series 194, no. 1 (2009): 012058. http://dx.doi.org/10.1088/1742-6596/194/1/012058.

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38

Jouin, H., and F. A. Gutierrez. "Neutral fractions calculations for grazing incidence H+/Al(111) collisions." Journal of Physics: Conference Series 194, no. 13 (2009): 132025. http://dx.doi.org/10.1088/1742-6596/194/13/132025.

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39

Khanna, Gaurav, Reinaldo Gleiser, Richard Price, and Jorge Pullin. "Close limit of grazing black hole collisions: non-spinning holes." New Journal of Physics 2 (March 1, 2000): 3. http://dx.doi.org/10.1088/1367-2630/2/1/303.

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40

Alducin, M., F. J. García de Abajo, and P. M. Echenique. "Erratum: Auger intra-atomic transitions in grazing atom-surface collisions." Physical Review B 51, no. 3 (1995): 2030. http://dx.doi.org/10.1103/physrevb.51.2030.2.

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41

Winter, H. "Collisions of atoms and ions with surfaces under grazing incidence." Physics Reports 367, no. 5 (2002): 387–582. http://dx.doi.org/10.1016/s0370-1573(02)00010-8.

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42

Brandt, Steve, Randall Correll, Roberto Gómez, et al. "Grazing Collisions of Black Holes via the Excision of Singularities." Physical Review Letters 85, no. 26 (2000): 5496–99. http://dx.doi.org/10.1103/physrevlett.85.5496.

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43

Ruiz, Antonia, and José P. Palao. "Effects of classical nonlinear resonances in grazing diatom-surface collisions." Journal of Chemical Physics 137, no. 8 (2012): 084302. http://dx.doi.org/10.1063/1.4746689.

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44

Freier, R., and H. Winter. "Nuclear orientation of14N after grazing collisions with a silicon surface." Hyperfine Interactions 73, no. 3-4 (1992): 323–35. http://dx.doi.org/10.1007/bf02418607.

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45

Brodsky, S. J., V. S. Fadin, V. T. Kim, L. N. Lipatov, and G. B. Pivovarov. "High-energy QCD asymptotic behavior of photon-photon collisions." Journal of Experimental and Theoretical Physics Letters 76, no. 5 (2002): 249–52. http://dx.doi.org/10.1134/1.1520615.

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46

Nayek, Sujay, and Arijit Ghoshal. "Scaling law for asymptotic cross section: Electron-hydrogen collisions." Chinese Journal of Physics 54, no. 5 (2016): 659–67. http://dx.doi.org/10.1016/j.cjph.2016.08.015.

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47

DELLACHERIE, S., and R. SENTIS. "NUCLEAR COLLISIONS MODELS WITH BOLTZMANN OPERATORS." Mathematical Models and Methods in Applied Sciences 10, no. 04 (2000): 479–505. http://dx.doi.org/10.1142/s0218202500000276.

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We describe a model related to nuclear collisions using Boltzmann operators. An asymptotic analysis is performed concerning the gain operator for the outgoing particles. Some numerical methods related to this model are also described and numerical results are given.

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48

PURCELL, ANTHONY. "ASYMPTOTIC EXPANSION OF THE BACKSCATTERING STRENGTH FOR THE PIERSON–MOSKOWITZ SEA SURFACE." Journal of Computational Acoustics 09, no. 04 (2001): 1287–309. http://dx.doi.org/10.1142/s0218396x01000565.

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The high-frequency behavior of the Kirchhoff approximation for the backscattering strength can be obtained by expanding the surface height correlation function W(r) in a power series in the displacement r. This approach leads to the well-known result that the incoherent backscattering strength is given by exp [- cot 2θ/(2σ2)]/(8πσ2 sin 4θ), where σ is the root-mean-square slope of the randomly rough surface and θ is the grazing angle of the incident plane wave. For the Pierson–Moskowitz model of the ocean surface, this formula is inapplicable due to the infinite root-mean-square slope associat

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49

Walker, Christoph. "Asymptotic behaviour of liquid–liquid dispersions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 134, no. 4 (2004): 753–72. http://dx.doi.org/10.1017/s0308210500003462.

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Based on earlier results on existence, we study the asymptotic behaviour of solutions to the coalescence-breakage equations, including the volume-scattering phenomenon and high-energy collisions. The solutions are shown to converge towards one particular equilibrium, provided the kernels satisfy a kind of reversibility. We also derive stability of these equilibria in a suitable topology.

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50

AHMADOV, A. I., I. BOZTOSUN, R. KH MURADOV, A. SOYLU, and E. A. DADASHOV. "HIGHER TWIST EFFECTS IN PROTON-PROTON COLLISIONS." International Journal of Modern Physics E 15, no. 06 (2006): 1209–31. http://dx.doi.org/10.1142/s0218301306004843.

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In this article, we investigate the contribution of the high twist Feynman diagrams to the large-pT pion production cross section in proton-proton collisions and we present the general formulae for the high and leading twist differential cross sections. The pion wave function where two non-trivial Gegenbauer coefficients a2 and a4 have been extracted from the CLEO data, two other pion model wave functions, P2, P3, the asymptotic and the Chernyak-Zhitnitsky wave functions are used in the calculations. The results of all the calculations reveal that the high twist cross sections, the ratios R, r

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