%0 Book Section %1 statphys23_0198 %A Buyl, P. de %A Gaspard, P. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K equation non-neutral plasma statphys23 topic-3 vlasov %T Vlasov dynamics of a non-neutral plasma %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=198 %X Long-range interactions are known to induce unusual features in physical systems 1. An example is given by a non-neutral plasmas 2. Here, we present a kinetic study of the non-neutral plasma trapped in a confining potential. This system interacts through the unscreened $1r$ Coulombian potential. The use of a Vlasov solver 3 allows us to compute the evolution of the probability density function $f (x, p_x; t)$. The resolution is studied in phase space and the stability of quasi-stationary states is discussed. Refs: 1) T. Dauxois, S. Ruffo, E. Arimondo, and M. Wilkens. Dynamics and Ther- modynamics of Systems with Long Range Interactions: an Introduction. In T. Dauxois, S. Ruffo, E. Arimondo, and M. Wilkens, editors, Dynamics and Thermodynamics of Systems with Long Range Interactions, volume 602 of Lecture Notes in Physics. Springer, 2002.\\ 2) H. E. Dubin and T.M. O誰eil. Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states). Rev. Mod. Phys., 71(1):87$-$172, January 1999.\\ 3) E. Sonnendrucker, J. Roche, P. Bertrand, and A. Ghizzo. The Semi- Lagrangian Method for the Numerical Resolution of Vlasov Equations. Tech- nical Report 3393, INRIA, Mars 1998.

@incollection{statphys23_0198, abstract = {Long-range interactions are known to induce unusual features in physical systems [1]. An example is given by a non-neutral plasmas [2]. Here, we present a kinetic study of the non-neutral plasma trapped in a confining potential. This system interacts through the unscreened $\frac{1}{r}$ Coulombian potential. The use of a Vlasov solver [3] allows us to compute the evolution of the probability density function $f (x, p_x; t)$. The resolution is studied in phase space and the stability of quasi-stationary states is discussed. Refs: 1) T. Dauxois, S. Ruffo, E. Arimondo, and M. Wilkens. Dynamics and Ther- modynamics of Systems with Long Range Interactions: an Introduction. In T. Dauxois, S. Ruffo, E. Arimondo, and M. Wilkens, editors, Dynamics and Thermodynamics of Systems with Long Range Interactions, volume 602 of Lecture Notes in Physics. Springer, 2002.\\ 2) H. E. Dubin and T.M. O誰eil. Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states). Rev. Mod. Phys., 71(1):87$-$172, January 1999.\\ 3) E. Sonnendrucker, J. Roche, P. Bertrand, and A. Ghizzo. The Semi- Lagrangian Method for the Numerical Resolution of Vlasov Equations. Tech- nical Report 3393, INRIA, Mars 1998.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Buyl, P. {d}e and Gaspard, P.}, biburl = {https://www.bibsonomy.org/bibtex/220c57ed791493391575fab2fc7d6819a/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {495d9a5a4c1644235577e93cb2974c5c}, intrahash = {20c57ed791493391575fab2fc7d6819a}, keywords = {equation non-neutral plasma statphys23 topic-3 vlasov}, month = {9-13 July}, timestamp = {2007-06-20T10:16:14.000+0200}, title = {Vlasov dynamics of a non-neutral plasma}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=198}, year = 2007 }