TITLE

Asymptotic solution of Fokker–Planck equation for plasma in Paul traps

AUTHOR(S)
Shah, Kushal
PUB. DATE
May 2010
SOURCE
Physics of Plasmas;May2010, Vol. 17 Issue 5, p054501
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
An exact analytic solution of the Vlasov equation for the plasma distribution in a Paul trap is known to be a Maxwellian and thus, immune to collisions under the assumption of infinitely fast relaxation [K. Shah and H. S. Ramachandran, Phys. Plasmas 15, 062303 (2008)]. In this paper, it is shown that even for a more realistic situation of finite time relaxation, solutions of the Fokker–Planck equation lead to an equilibrium solution of the form of a Maxwellian with oscillatory temperature. This shows that the rf heating observed in Paul traps cannot be caused due to collisional effects alone.
ACCESSION #
51059816

 

Related Articles

  • Experimental study of classical heat transport in a magnetized plasma. Burke, A. T.; Maggs, J. E.; Morales, G. J. // Physics of Plasmas;Feb2000, Vol. 7 Issue 2 

    A systematic study is made of the axial and transverse heat transport that arises when a microscopic temperature filament is generated, under controlled conditions, in a magnetized plasma of large dimensions. For early times and relatively small temperature gradients the study conclusively...

  • Measurement of cross-magnetic-field heat transport due to long-range collisions. Hollmann, E. M.; Anderegg, F.; Driscoll, C. F. // Physics of Plasmas;May2000, Vol. 7 Issue 5, p1767 

    Presents a study on cross-magnetic field heat transport in plasma. Characterization of the resulting thermal diffusivity; Exchange of parallel kinetic energy by particles; Comparison of diffusivity from short-range velocity-scattering collisions.

  • Generalized parallel heat transport equations in collisional to weakly collisional plasmas. Zawaideh, Emad; Kim, N. S.; Najmabadi, Farrokh // Physics of Fluids (00319171);Nov88, Vol. 31 Issue 11, p3280 

    A new set of two-fluid heat transport equations that is valid from collisional to weakly collisional limits is derived. Starting from gyrokinetic equations in flux coordinates, a set of moment equations describing plasma energy transport along the field lines of a space- and time-dependent...

  • Kinetic modes in a hot magnetized and weakly collisional plasma. De Souza-Machado, S.; Sarfaty, M.; Skiff, F. // Physics of Plasmas;Jun99, Vol. 6 Issue 6, p2323 

    Studies kinetic modes in a hot magnetized and weakly collisional plasma. Characteristics of velocity space perturbations associated with low-frequency waves launched in a weakly collisional plasma; Expansion of the perturbed ion-distribution function in terms of Hermite polynomials; Yielding of...

  • The transition from collisionless to collisional active plasma in the fluid model and the relevance of the Bohm criterion to sheath formation. Franklin, R. N.; Snell, J. // Physics of Plasmas;Jul2000, Vol. 7 Issue 7 

    The fluid equations describing the plasma-wall sheath in an electropositive gas are solved numerically with parameters, δ[sub i] the ratio of the ion collision frequency ν[sub i] to the ionization rate Z, and α the ratio of the ionization rate to the ion plasma frequency ω[sub pi]....

  • Semicollisional drift-tearing modes in toroidal plasmas. Hahm, T. S.; Chen, Liu // Physics of Fluids (00319171);Jun86, Vol. 29 Issue 6, p1891 

    Semicollisional drift-tearing modes are studied analytically in toroidal plasmas. Corresponding differential equations for the eigenmodes are derived via the ballooning mode representation and flux-surface averaging. A dispersion relation is then obtained using asymptotic matching. It is found...

  • Explicit analytical solution of the nonlinear Vlasov--Poisson system. Skarka, V.; Mahajan, S.M.; Fijalkow, E. // Physics of Plasmas;Mar1994, Vol. 1 Issue 3, p528 

    Describes the time evolution of an inhomogeneous collisionless plasma using the subdynamics approach and the diagrammatic techniques. Review of the subdynamics formalism developed to deal with problems in non-equilibrium statistical mechanics; Solution of the Vlasov equation; Solution of the...

  • Nonlinear collisional absorption in laser-driven plasmas. Decker, C.D.; Mori, W.B.; Dawson, J.M.; Katsouleas, T. // Physics of Plasmas;Dec94, Vol. 1 Issue 12, p4043 

    Examines the collisional heating rate of a fully ionized plasma driven by a strong electromagnetic pump wave, both analytically and with two-dimensional particle-in-cell simulations. Extension of the high frequency conductivity model of Dawson and Oberman to large values of both quiver...

  • Discharge-pumped soft-x-ray laser in neon-like argon. Rocca, J.J.; Tomasel, F.G.; Marconi, M.C.; Shlyaptsev, V.N.; Chilla, J.L.A.; Szapiro, B.T.; Giudice, G. // Physics of Plasmas;Jun95, Vol. 2 Issue 6, p2547 

    Presents the first demonstration of large soft-x-ray amplification in a discharge-created plasma column. Utilization of a fast capillary discharge to collisionally excite the 46.9 nanometer transition of neon-like argon; Parametrization of the Ar IX discharge-pumped amplifier; Dynamics of the...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics