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Inertial fusion

 

  Theoretical studies of microscopic properties of dense strongly correlated plasmas and of particle beam transport are performed beyond the limit of validity of standard theory. Numerous results have been obtained by the group in the period 2004-2008, as shown by the publication list, most of them in the frame of international collaborations. The main results can be summarised as follows:


1-Beam plasma instabilities

(A. Bret (LPGP et Ciudad-Real), C. Deutsch, M-C. Firpo (LPTP-Palaiseau), P. Fromy (CRI-Orsay)

  Studies of the linear and quasi-linear growth of electromagnetic instabilities during the interaction of relativistic electron beams or non-relativistic proton beams with ultra-dense plasmas of interest for the fast ignition scheme of inertial fusion have been performed analytically and confirmed with PIC simulations at CEA-DAM, as shown in figure 3. These instabilities may be an issue for the fast ignition scheme and their initial, linear growth is difficult to detect in a PIC simulation. Main results are about the damping of filamentation by electron collisions in the target for wavelengths of the order of the electronic skin depth. By combining analytically the 3 main instabilities (Weibel, Filamentation and Double-current) it was possible to determine that their fastest growth occurs in a region at an angle compared to the initial beam axis, which had not been seen in previous analysis. [89, 146, 148, 156, 213]

figure3

 

2-WDM created by heavy ion beams

(C. Deutsch, N.A.Tahir et D.H.H.Hoffmann (GSI), A.R.Piriz et G.Wouchuk (Ciudad-Real), V.E.Fortov et I.V.Lomonosov (Chernogolovska))

  Theoretical studies are undertaken to anticipate future experiments at very high energy at GSI-Darmstadt, and at very low energy, close to the Bragg-peak at LBNL-Berkeley. C. Deutsch is part of the project HEDgeHOB (European network) dedicated to the study of strongly correlated plasmas at solid density and heated to 1 -10 eV (WDM). A code based on the stopping power in cold solid or dense plasma combined to hydrodynamic studies of the target taking into account Rayleigh-Taylor et Richmayer-Mashkov instabilities is under development [57, 59, 126, 128, 192].


3-Stopping power of non-relativistic ions and relativistic electrons in ultra-dense targets:

(C. Deutsch, C. Cereceda (USB-Caracas), K.V. Starikov et B. Tashev (KazNu-Almaty), M.D. Barriga-Carrasco (UCiudad-Real), R. Popoff, G. Maynard, J. Vassaux)

  These studies include calculations for the final phase of fast ignition as well as for intense ion beams inside cold or warm matter for the production of WDM. Particular attention is given to arbitrary magnetised plasmas or with several ion components [150, 188, 65, 52]. Laser produced energetic ion sources have created a renewed interest for ion-plasma interaction studies. The ITFIP group collaborates with the LULI and the CPHT, in the frame of the ELAHI project, supported by the ANR, to the study of energy loss inside WDM created by ion beams. The PhD project of A. Lenglet consisted in a fundamental study, through the direct resolution of time dependent Schroedinger equation in the case of strong interactions close to the semi-classical limit. An innovative variational method for wave-packet dynamics has been used to calculate the stopping power and the interaction laser-atom at high intensity. The wave packet is described by a set of Hermite-Gauss functions. The great advantage of this method is that it can be used to describe the transition from the perturbative regime to the strong perturbations [44].

  The group has also contributed to original topics such as space propulsion driven by matter anti-matter annihilation [85] and processes of non-local transport in gases [68].

 

4-References

[44] A. Lenglet and G. Maynard, Wave Packet Mo-lecular Dynamics to Study Atom Electrons in Strong Fields, Nucl. Instrum. Meth. Phys. Res. A 577, 343 (2007).
[52] R. Popoff and C. Deutsch, Energy Loss and Multiple Scattering of Light Ions in Dense and Strongly Magnetized Plasma, Nucl. In-strum. Meth. Phys. Res. A 577, 361 (2007).
[57] N. A. Tahir, A. R. Piriz, A. Shutov, I. V. Lo-monosov, V. Gryaznov, G. Wouchuk, C. Deutsch, P. Spiller, V. E. Fortov, D. H. H. Hoffmann, and R. Schmidt, Survey of Theo-retical Work for the Proposed Hedgehob Experimental Schemes: Hihex and Laplas, Contrib. Plasma Phys. 47, 223 (2007).
[59] N. A. Tahir, P. Spiller, A. Shutov, I. V. Lo-monosov, V. Gryaznov, A. R. Piriz, G. Wouchuk, C. Deutsch, V. E. Fortov, D. H. H. Hoffmann, and R. Schmidt, Hedgehob: High-Energy Density Matter Generated by Heavy Ion Beams at the Future Facility for Antiprotons and Ion Research, Nucl. In-strum. Meth. Phys. Res. A 577, 238 (2007).
[65] M. D. Barriga-Carrasco and C. Deutsch, Plasma Wake and Nuclear Forces on FragmentedH-2(+) Transport, Plasma Phys. Control. Fusion 48, 1787 (2006).
[68] A. Bendib, K. Bendib-Kalache, M. M. Gombert, and N. Imadouchene, Generalized Linear Transport Theory in Dilute Neutral Gases and Dispersion Relation of Sound Waves, Phys. Rev. E 74, 041204 (2006).
[89] M. C. Firpo, A. F. Lifschitz, E. Lefebvre, and C. Deutsch, Early out-of-Equilibrium Beam-Plasma Evolution, Phys. Rev. Lett. 96, 115004 (2006).
[126] N. A. Tahir, I. V. Lomonosov, A. Shutov, S. Udrea, C. Deutsch, E. Fortov, V. Gryaznov, D. H. H. Hoffmann, J. Jacobi, V. Kain, M. Kuster, P. Ni, A. R. Piriz, R. Schmidt, P. Spiller, D. Varentsov, and K. Zioutas, Proposed Studies of Strongly Coupled Plasmasat the Future Fair and Lhc Facilities: The Hedgehob Collaboration, J. Phys. A-Math. Gen. 39, 4755 (2006).
[128] N. A. Tahir, P. Spiller, S. Udrea, O. D. Cortazar, C. Deutsch, V. E. Fortov, V. Gryaznov, D. H. H. Hoffmann, I. V. Lomonosov, P. Ni, A. R. Piriz, A. Shutov, M. Temporal, and D. Varentsov, Studies of Equation of State Properties of High-Energy Density Matter Using Intense Heavy Ion Beams at the Fu-ture Fair Facility: The Hedgehob Collabora-tion, Nucl. Instrum. Meth. Phys. Res. B 245, 85 (2006).
[146] A. Bret, M. C. Firpo, and C. Deutsch, Electromagnetic Instabilities for Relativistic Beam-Plasma Interaction in Whole K Space: Non-relativistic Beam and Plasma Temperature Effects, Phys. Rev. E 72, 016403 (2005).
[148] A. Bret, M. C. Firpo, and C. Deutsch, Characterization of the Initial Filamentation of a Relativistic Electron Beam Passing through a Plasma, Phys. Rev. Lett. 94, 115002 (2005).
[150] C. Cereceda, M. de Peretti, and C. Deutsch, Stopping Power for Arbitrary Angle between Test Particle Velocity and Magnetic Field, Phys. Plasmas 12, 022102 (2005).
[156] C. Deutsch, A. Bret, M. C. Firpo, and P. Fromy, Interplay of Collisions with Quasilinear Growth Rates of Relativistic Electron-Beam-Driven Instabilities in a Superdense Plasma, Phys. Rev. E 72, 026402 (2005).
[188] K. V. Starikov and C. Deutsch, Stopping of Relativistic Electrons in a Partially Degener-ate Electron Fluid, Phys. Rev. E 71, 026407 (2005).
[192] N. A. Tahir, C. Deutsch, V. E. Fortov, V. Gryaznov, D. H. H. Hoffmann, M. Kulish, I. V. Lomonosov, V. Mintsev, P. Ni, D. Ni-kolaev, A. R. Piriz, N. Shilkin, P. Spiller, A. Shutov, M. Temporal, V. Ternovoi, S. Udrea, and D. Varentsov, Proposal for the Study of Thermophysical Properties of High-Energy-Density Matter Using Current and Future Heavy-Ion Accelerator Facilities at Gsi Darmstadt, Phys. Rev. Lett. 95, 035001 (2005).
[213] A. Bret, M. C. Firpo, and C. Deutsch, Collective Electromagnetic Modes for Beam-Plasma Interaction in the Whole K Space, Phys. Rev. E 70, 046401 (2004).

 

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