By Martin Ransom; Stuart Clark; B Battrick; Monica Talevi
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During this quantity a survey of the main proper nonlinear crack versions is supplied, with the aim of reading the nonlinear mechanical results happening on the tip of macrocracks in quasi-brittle fabrics - resembling concrete, rocks, ceramics, polymers, high-strength steel alloys - and in brittle-matrix fibre-reinforced composites.
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16 the spatially resonant effects due to the finite transverse size of the beams are explicitly considered. The two electron beams are modeled as two distinct cold populations and the two-electron-fluid, 3-D relativistic dissipationless equations are integrated numerically well into the nonlinear phase of the instability. April 11, 2007 9:35 WSPC - Proceedings Trim Size: 9in x 6in Pegoraro 46 Fig. 2. :16 here we simply mention that a two counterstreaming beam cylindrical configuration with initially zero current density is perturbed by a white noise magnetic perturbation.
Amoretti, G. Bettega, F. Cavaliere, M. Cavenago, F. De Luca, R. Pozzoli and M. Rom´e, Rev. Scient. Instr. 74, 3991 (2003). 2. R. H. Levy, Phys. Fluids 8, 1288 (1965). 3. G. Bettega, D. Beretta, F. Cavaliere, M. Cavenago, F. De Luca, A. Illiberi, R. Pozzoli and M. Rom´e, this Workshop. 4. J. M. Kriesel and C. F. Driscoll, Phys. Plasmas 5, 1265 (1998). 5. J. H. Malmberg and J. S. de Grassie, Phys. Rev. Lett. 35, 577 (1975). 6. C. F. Driscoll and J. H. Malmberg, Phys. Fluids 19, 760 (1976). 7. T. Pasquini and J.
36 ) densities Nd . For larger dust densities, the oscillatory shock turns into a monotonic shock structure. The panel b) of Fig. 2 shows numerical solutions of Eq. (2), where we see that the oscillatory shock structure at low values of µP ≡ C turns into a monotonic shock at large values of µP . 4. Langmuir envelope solitons Next, we present a fully nonlinear theory42 for Langmuir envelope solitons in a complex (dusty) plasma. We suppose that the presence of electron beams in a dusty plasma would generate large amplitude Langmuir waves 2 + 3k 2 VT2e )1/2 , where ωpe = (4πne e2 /me )1/2 is whose frequency is ω = (ωpe the electron plasma frequency, ne is number density of the electrons, me is the electron mass, k is the wavenumber, and VT e = (Te /me )1/2 is the electron thermal speed.
INTEGRAL : tracking extreme radiation across the Universe by Martin Ransom; Stuart Clark; B Battrick; Monica Talevi