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Accueil > Français > Annuaire > Turbulence-Plasma

ELSKENS Yves

Statut - Organisme de rattachement

Contact : yves.elskens univ-amu.fr

Thèmes de recherche

- Wave-particle interactions in plasmas and vacuum electronic devices
- Hamiltonian dynamics, deterministic chaos, numerical modeling
- Kinetic theory
- Stochastic processes

Bibliographie

Monographie

Y. Elskens & D.F. Escande,
Microscopic dynamics of plasmas and chaos
IoP Publishing, Bristol (2003), xx + 308 pp.

Actes de conférences

- S. Benkadda, F. Doveil & Y. Elskens (eds), Transport, chaos and plasma physics (Marseille, July 5 – 9, 1993), World Scientific, Singapore, 1994.
- S. Benkadda, F. Doveil & Y. Elskens (eds), Transport, chaos and plasma physics 2 (Marseille, July 10 – 21, 1995) World Scientific, Singapore, 1996.
- F. Califano, Y. Elskens & G. Manfredi (guest eds), Vlasovia 2009 (Marseille, Aug. 31 – Sep. 4, 2009) Transp. Th. Stat. Phys. 39 (2011) 313-551, 40 (2011) 183-224 and 40 (2011) 311-439.

Articles

- Y. Elskens & D. Speiser, Classical mechanics of non-spherical bodies. I. Binary collisions in two dimensions, J. Math. Phys. 23 (1982) 539-546.
- Y. Elskens & D. Speiser, Classical mechanics of non-spherical bodies. II. Boltzmann equation and H-theorem in two dimensions, J. Math. Phys. 23 (1982) 547-551.
- Y. Elskens, H.L. Frisch & G. Nicolis, Decay of correlations and master equation in Kac’ lattice model, Bull. Acad. Roy. Belg. Cl. Sci. (5ème série) 69 (1983) 22-50.
- Y. Elskens, Alternative descriptions of the discrete mixmaster universe, Phys. Rev. D 28 (1983) 1033-1035.
- Y. Elskens, H.L. Frisch & G. Nicolis, Exact solution of a deterministic model for isomerization kinetics, J. Stat. Phys. 33 (1983) 317-339.
- Y. Elskens, Microscopic derivation of a markovian master equation in a deterministic model of chemical reaction, J. Stat. Phys. 37 (1984) 673-695.
- Y. Elskens & G. Nicolis, Exact solution of a deterministic model for isomerisation kinetics - Effect of an activation energy, J. Chem. Phys. 82 (1985) 946-954.
- Y. Elskens & R. Kapral, Reversible dynamics and the macroscopic rate law for a solvable Kolmogorov system : the three bakers’ reaction, J. Stat. Phys. 38 (1985) 1027-1049.
- Y. Elskens & H.L. Frisch, Annihilation kinetics in the one-dimensional ideal gas, Phys. Rev. A 31 (1985) 3812-3816.
- Y. Elskens & I. Prigogine, From instability to irreversibility, Proc. Natl Acad. Sci. U.S.A. 83 (1986) 5756-5760.
- I. Prigogine & Y. Elskens, Irreversibility, stochasticity and non-locality in classical dynamics, pp. 205-223 in B. Hiley & D. Peat (eds), Quantum Implications (Routledge & Kegan Paul, London, 1987).
- Y. Elskens, Nonunitary transformations and hydrodynamic limit in the one-dimensional hard-point gas, Physica (Utrecht) A 143 (1987) 1-21.
- Y. Elskens & H.L. Frisch, Aggregation kinetics for a one-dimensional zero-degree Kelvin model of spinodal decomposition, J. Stat. Phys. 48 (1987) 1243-1248.
- Y. Elskens & M. Henneaux, Ergodic theory of the mixmaster model in higher space-time dimensions, Nucl. Phys. B290 [FS20] (1987) 111-136.
- Y. Elskens, Ergodic theory of the mixmaster universe in higher space-time dimensions II, J. Stat. Phys. 48 (1987) 1269-1282.
- Y. Elskens & M. Henneaux, Chaos in Kaluza-Klein models, Class. Quant. Grav. 4 (1987) L161-L167.
- Y. Elskens & H.L. Frisch, Kinetic theory of hard spheres in infinite dimensions, Phys. Rev. A 37 (1988) 4351-4353.
- Y. Elskens & D.F. Escande, Slowly pulsating separatrices sweep homoclinic tangles where islands must be small : an extension of classical adiabatic theory, Nonlinearity 4 (1991) 615-667.
- Y. Elskens & D.F. Escande, Infinite resonance overlap : a natural limit for hamiltonian chaos, Physica D 62 (1992) 66-74.
- S. Benkadda & Y. Elskens, Saddle-point bifurcation and onset of large-scale stochasticity in 1.5-degree-of-freedom hamiltonian systems, Phys. Rev. E 48 (1993) -rapid communications- R3211-R3213.
- S. Benkadda, Y. Elskens, B. Ragot & J.T. Mendonça, Exit times and chaotic transport in hamiltonian systems, Phys. Rev. Lett. 72 (1994) 2859-2862.
- D.F. Escande, S. Zékri & Y. Elskens, Intuitive and rigorous microscopic description of spontaneous emission and Landau damping of Langmuir waves through classical mechanics, Phys. Plasmas 3 (1996) 3534-3539.
- Y. Elskens, Invariance of stretching and expansion spectra, and Oseledec’ multiplicative ergodic theorem, Physica D 100 (1997) 142-144.
- Y. Elskens & M. Antoni, Equilibrium statistical mechanics of one-dimensional hamiltonian systems with long-range forces, Phys. Rev. E 55 (1997) 6575-6581.
- Y. Elskens, D. Resendes & J.T. Mendonça, Nonlinear dynamics of a charged dust grain in a plasma, Phys. Plasmas 4 (1997) 4210-4217.
- M. Antoni, Y. Elskens & D.F. Escande, Explicit reduction of N-body dynamics to self-consistent particle-wave interaction, Phys. Plasmas 5 (1998) 841-852.
- J.H. Misguich, J.D. Reuss, Y. Elskens & R. Balescu, Motion in a stochastic layer described by symbolic dynamics, Chaos 8 (1998) 248-256.
- M. Antoni, Y. Elskens & C. Sandoz, Weak turbulence and structure evolution in N-body hamiltonian systems with long range force, Phys. Rev. E 57 (1998) 5347-5357.
- Y. Elskens & M-C. Firpo, Kinetic theory and large-N limit for wave-particle self-consistent interaction, Physica Scripta T 75 (1998) 169-172.
- M-C. Firpo & Y. Elskens, Kinetic limit of N-body description of wave-particle self-consistent interaction, J. Stat. Phys. 93 (1998) 193-209.
- M-C. Firpo & Y. Elskens, Phase transition in the collisionless damping regime for wave-particle interaction, Phys. Rev. Lett. 84 (2000) 3318-3321.
- Y. Elskens, Asymptotic behaviour for critical slowing-down random walks, J. Stat. Phys. 101 (2000) 397-404.
- Y. Elskens, Finite-N dynamics admit no traveling-wave solutions for the hamiltonian XY model and single-wave collisionless plasma model, ESAIM Proc. 10 (2001) 211-215 [DOI : 10.1051/proc:2001008], http://www.esaim-proc.org/articles/proc/abs/2001/01/elskens/elskens.html
- M-C. Firpo & Y. Elskens, O’Neil’s threshold for nonlinear Landau damping and phase transition in the wave-particle system, ESAIM Proc. 10 (2001) 217-222 [DOI : 10.1051/proc:2001007], http://www.esaim-proc.org/articles/proc/abs/2001/01/Elskens_Firpo/Elskens_Firpo.html
- F. Doveil, M-C. Firpo, Y. Elskens, D. Guyomarc’h, M. Poleni & P. Bertrand, Trapping oscillations, discrete particle effects and kinetic theory of collisionless plasma, Phys. Lett. A 284 (2001) 279-285.
- M-C. Firpo, F. Doveil, Y. Elskens, P. Bertrand, M. Poleni & D. Guyomarc’h, Long-time discrete particle effects versus kinetic theory in the self-consistent single-wave model, Phys. Rev. E 64 (2001) 026407 (10 pages).
- D.F. Escande & Y. Elskens, Quasilinear diffusion for the chaotic motion of a particle in a set of longitudinal waves, Acta Phys. Pol. B 33 (2002) 1073-1084.
- D.F. Escande & Y. Elskens, Proof of quasilinear equations in the chaotic regime of the weak warm beam instability, Phys. Lett. A 302 (2002) 110-118.
- M-C. Firpo & Y. Elskens, Finite-N effects, phase transition and long-time evolution of the wave-particle system, Transp. Th. Stat. Phys. 32 (2003) 399-411.
- D.F. Escande & Y. Elskens, Proof of quasilinear equations in the strongly nonlinear regime of the weak warm beam instability, Phys. Plasmas 10 (2003) 1588-1594.
- D.F. Escande & Y. Elskens, Microscopic dynamics of plasmas and chaos : the wave-particle interaction paradigm, Plasma Phys. Control. Fusion 45 (2003) A115-124.
- C. Chandre, M. Vittot, Y. Elskens, G. Ciraolo & M. Pettini, Controlling chaos in area-preserving maps, Physica D 208 (2005) 131-146.
- A. Macor, F. Doveil & Y. Elskens, Electron climbing a « devil’s staircase » in wave-particle interaction, Phys. Rev. Lett. 95 (2005) 264102 (4 pages).
- Y. Elskens, From long-range interaction to collective behaviour and from hamiltonian chaos to stochastic models, Nucl. Inst. Meth. Phys. Res. A 561 (2006) 129-136 [http://dx.doi.org/10.1016/j.nima.2006.01.005].
- A. Antoniazzi, Y. Elskens, D. Fanelli & S. Ruffo, Statistical mechanics and Vlasov equation allow for a simplified hamiltonian description of single-pass free electron laser saturated dynamics, Eur. Phys. J. B 50 (2006) 603-611.
- F. Doveil, A. Macor & Y. Elskens, Direct observation of a « devil’s staircase » in wave-particle interaction, Chaos 16 (2006) 033103 (9 pages).
- Y. Elskens, M. K-H. Kiessling & V. Ricci, The Vlasov limit for a system of particles which interact with a wave field, Commun. Math. Phys. 285 (2009) 673-712.
- Y. Elskens, Nonquasilinear evolution of particle velocity in incoherent waves with random amplitudes, Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 10-15 (online June 12, 2008).
- B.M. Annaratone, Y. Elskens, C. Arnas, T. Antonova, H.M. Thomas & G.E. Morfill,
Agglomeration of mesoscopic particles in plasma, New J. Phys. 11 (2009) 103013 (10 pages).
- Y. Elskens & E. Pardoux, Diffusion limit for many particles in a periodic stochastic acceleration field, Ann. Appl. Prob. 20 (2010) 2022-2039 [http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aoap/1287494553].
- B.M. Annaratone, T. Antonova, C. Arnas, Bandyopadhyay, M. Chaudhuri, C R. Du, Y. Elskens, A.V. Ivlev, G.E. Morfill, V. Nosenko, K.R. Sütterlin, M. Schwabe & H.M. Thomas, Collective effects in complex plasma, Plasma Sources Sci. Technol. 19 (2010) 065026 (10 pages).
- N. Besse, Y. Elskens, D. Escande & P. Bertrand, Validity of quasilinear theory : refutations and new numerical confirmation, Plasma Phys. Control. Fusion 53 (2011) 025012 (36 pages).
- A. Ruzzon, Y. Elskens & F. Doveil, A symplectic, symmetric algorithm for spatial evolution of particles in a time-dependent field, Commun. Nonlinear Sci. Numer. Simulat. 17 (2011) 769-779.
- Y. Elskens, Gaussian convergence for stochastic acceleration of N particles in the dense spectrum limit, J. Stat. Phys. 148 (2012) 591-605.
- F. André, P. Bernardi, N. Ryskin, F. Doveil & Y. Elskens, Hamiltonian description of self-consistent wave-particle dynamics in a periodic structure, Europhys. Lett. 103 (2013) 28004 (5 pages).
- BV. Ribeiro & Y. Elskens, Ornstein-Uhlenbeck limit for the velocity process of an N-particle system interacting stochastically, J. Stat. Phys. 153 (2013) 626-640.
- Y. Elskens, D.F. Escande & F. Doveil, Vlasov equation and N-body dynamics : How central is particle dynamics to our understanding of plasmas ?, Eur. Phys. J. D 68 (2014) 218 (7 pages).
- D.F. Escande,Y. Elskens & F. Doveil, Uniform derivation of Coulomb collisional transport thanks to Debye shielding, J. Plas. Phys. 81 (2015) 305810101 (9 pages) [http://dx.doi.org/10.1017/S0022377814000415]
- J.T. Mendonça, W. Horton, R.M.O. Galvão & Y. Elskens, Transport equations for lower hybrid waves in a turbulent plasma, J. Plasma Phys. 81 (2015) 905810206 (8 pages) [http://dx.doi.org/10.1017/S0022377814001032]
- D.F. Escande, Y. Elskens & F. Doveil, Direct path from microscopic mechanics to Debye shielding, Landau damping and wave-particle interaction, Plasma Phys. Control. Fusion 57 (2015) 025017 (11 pages) Corr. 069501 (1 p.) [http://iopscience.iop.org/0741-3335/57/2/025017/article, http://iopscience.iop.org/0741-3335/57/6/069501/pdf/0741-3335_57_6_069501.pdf].
- D.F. Escande, F. Doveil & Y. Elskens, N-body description of Debye shielding and Landau damping, Plasma Phys. Control. Fusion 58 (2016) 014040 (7 pages) [doi:10.1088/0741-3335/58/1/014040].
- B. V. Ribeiro, M. A. Amato & Y. Elskens, Brownian regime of finite-N corrections to particle motion in the XY hamiltonian mean field model, Physica Scripta 91 (2016) 084004 (11 pages).

Quelques contributions à des conférences
- S. Benkadda, B.R. Ragot & Y. Elskens, Transport and large scale stochasticity for a nonperiodic generalisation of the standard map, pp. 174-181 in
M.F. Shlesinger, G.M. Zaslavsky & U. Frisch (eds), Lévy flights and related phenomena in physics (Observatoire de la Côte d’Azur, Nice, June 26-30, 1994), Lect. Notes Phys. 450, Springer, Berlin, 1995.
- M. Antoni, Y. Elskens & D.F. Escande, Reduction of N-body dynamics to particle-wave interaction in plasmas, pp. 1-17 in
G. Maino & M. Ottaviani (eds), Dynamics of transport in plasmas and for charged beams (Institute for scientific interchange, Torino, June 1994) World Scientific, Singapore, 1996.
- D.F. Escande, S. Zékri & Y. Elskens, Microscopic description of Langmuir waves revisited through classical mechanics, pp. 18-26 in
G. Maino & M. Ottaviani (eds), Dynamics of transport in plasmas and for charged beams (Institute for scientific interchange, Torino, June 1994) World Scientific, Singapore, 1996.
- M. Antoni, C. Sandoz & Y. Elskens, Numerical study of turbulence in N-body hamiltonian systems with long range forces – I. Relaxation, pp. 290-294 in
C. Simó (ed.), Hamiltonian systems with three or more degrees of freedom (NATO Advanced study institute, S’Agaró–Barcelona, June 1995) Kluwer, Dordrecht, 1999.
- C. Sandoz, M. Antoni & Y. Elskens, Numerical study of turbulence in N-body hamiltonian systems with long range forces – II. Structures, pp. 105-110 in
S. Benkadda, F. Doveil & Y. Elskens (eds), Transport, chaos and plasma physics 2 (Marseille, July 10-21, 1995) World Scientific, Singapore, 1996.
- D. Guyomarc’h, F. Doveil, Y. Elskens & D. Fanelli
Warm beam–plasma instability beyond saturation, pp. 406-410 in
S. Benkadda, F. Doveil & Y. Elskens (eds), Transport, chaos and plasma physics 2 (Marseille, July 10-21, 1995) World Scientific, Singapore, 1996.
- D. Resendes, J.T. Mendonça & Y. Elskens,
Nonlinear dynamics of a dust grain in a plasma, pp. 273-282 in
P.K. Shukla, D.A. Mendis & T. Desai (eds), International conference on dusty plasmas (Goa, October 21-25, 1996) World Scientific, Singapore, 1997.
- Y. Elskens, D. Guyomarc’h & M-C. Firpo, Phase space dynamics and wave-particle interaction, Physicalia Mag. 20 (1998) 193-203.
- Y. Elskens, Dynamical and kinetic aspects of collisions, pp. 101-113 in
D. Benest & C. Froeschlé (eds), Singularities in gravitational systems — Applications to chaotic transport in the solar system (12-18.03.2000, Arc 2000) Lect. Notes Phys. 590, Springer, Berlin, 2002
- B. Weyssow & Y. Elskens, Chaotic adiabatic dynamics in a 2D electrostatic field, EPS-27 plasma (12-16.06.00, Budapest)
- D.F. Escande & Y. Elskens, Universality of quasilinear diffusion for the chaotic motion of a particle in a set of prescribed longitudinal waves, EPS-28 plasma (18-22.06.01, Funchal)
- Y. Elskens, Kinetic theory for plasmas and wave-particle hamiltonian dynamics, pp. 451-461 in
Th. Dauxois, S. Ruffo, E. Arimondo & M. Wilkens (eds), Dynamics and thermodynamics of systems with long range interactions (18-22.02.02, les Houches) Lect. Notes Phys. 602, Springer, Berlin, 2002.
- F. Doveil, M-C. Firpo, Y. Elskens, P. Bertrand, M. Poleni & D. Guyomarc’h, Saturation of beam-plasma instability is sensitive to discrete particle effects, EPS-29 plasma (17-21.06.02, Montreux)
- D.F. Escande & Y. Elskens, Turbulent evolution of a plasma described through classical mechanics only, International conference on plasma physics (15-19.07.02, Sydney)
- Y. Elskens, Irreversible behaviours in Vlasov equation and many-body hamiltonian dynamics : Landau damping, chaos and granularity in the kinetic limit, pp. 89-108 in
Th. Passot, C. Sulem & P-L. Sulem (eds), Topics in kinetic theory (Toronto, 24.03-02.04.04), Fields institute communications series 46, Am. Math. Soc., Providence (RI), 2005.
- Y. Elskens, Quasilinear limit for particle motion in a prescribed spectrum of random waves, Physics AUC 17 (I) (2007) 109-121.
- B.M. Annaratone, T. Antonova, C. Arnas, Y. Elskens & G. Morfill, Agglomeration of dust, pp. 91-94 in
J.T. Mendonça, D.P. Resendes & P.K. Shukla (eds), Multifacets of dusty plasmas (fifth international conference on the physics of dusty plasmas, Ponta Delgada, Azores, PT, 18-23 May 2008), AIP conference proceedings 1041, Am. Inst. Phys., Melville (NY), 2008.
- F. Doveil, Y. Elskens & A. Ruzzon, Observation and control of Hamiltonian chaos in wave-particle interaction, pp. 132-141 in
A. Sen, S. Sharma & P.N. Guzdar (eds), International symposium on waves, coherent structures and turbulence in plasmas (Gandhinagar, IN, 12-15 Jan. 2010), AIP conference proceedings 1308, Am. Inst. Phys., Melville (NY), 2010.
- B.V. Ribeiro & Y. Elskens, Kinetic limit of dynamical description of wave-particle self-consistent interaction in an open domain, pp. 159-164 in
Th. Gilbert, M. Kirkilionis & G. Nicolis (eds), Proceedings of the european conference on complex systems 2012 (Brussels, BE, Sep. 2012) Springer, Berlin, 2013.
- F. André, P. Bernardi, N. Ryskin, F. Doveil and Y. Elskens, Hamiltonian description of the electron and its radiated field in a periodic structure, in 14th IEEE International vacuum electronics conference IVEC (Paris, Apr. 2013)
- F. André, S. Théveny, F. Doveil and Y. Elskens, First comparison of new TWT discrete model with existing models, in 16th IEEE International vacuum electronics conference IVEC (Beijing, Apr. 2015)