## Abstract

A model based on the linearized Vlasov-Maxwell equations, taking into account the non-local interactions of particles due to their finite Larmor radii, has been developed. Assuming an inhomogeneous 1-D slab plasma, Maxwellian equilibrium distribution functions and k{sub y}=0, it leads to a system of one first-order and two second-order integro-differential equations for E{sub x} and E{sub y}, E{sub z} respectively. These equations are valid for arbitrary value of k/{rho}{sub {sigma}}, where k/{rho}{sub {sigma}} is the perpendicular wavenumber and {rho}{sub {sigma}} the Larmor radius of species {sigma}. Therefore, the code SEMAL, solving these equations, is well appropriate for studying the effects of alpha particles on the ion cyclotron range of frequency (ICRF) heating. These effects are shown to be much less significant for heating at the second harmonic of deuterium than expected from local models. Other heating scenarii of deuterium as well as the influence of k{sub z}, T{sub {alpha}}, non-Maxwellian distribution functions and n{sub {alpha}}/n{sub e} are also investigated. The results indicate under which conditions the power absorption by alpha particles start to dominate and, therefore, degrade the heating efficiency. (author) 10 figs., 10 refs.

Sauter, O;
Vaclavik, J

^{[1] }## Citation Formats

Sauter, O, and Vaclavik, J.
Non-local effects of alpha particles on second-harmonic heating.
Switzerland: N. p.,
1991.
Web.

Sauter, O, & Vaclavik, J.
Non-local effects of alpha particles on second-harmonic heating.
Switzerland.

Sauter, O, and Vaclavik, J.
1991.
"Non-local effects of alpha particles on second-harmonic heating."
Switzerland.

@misc{etde_10111744,

title = {Non-local effects of alpha particles on second-harmonic heating}

author = {Sauter, O, and Vaclavik, J}

abstractNote = {A model based on the linearized Vlasov-Maxwell equations, taking into account the non-local interactions of particles due to their finite Larmor radii, has been developed. Assuming an inhomogeneous 1-D slab plasma, Maxwellian equilibrium distribution functions and k{sub y}=0, it leads to a system of one first-order and two second-order integro-differential equations for E{sub x} and E{sub y}, E{sub z} respectively. These equations are valid for arbitrary value of k/{rho}{sub {sigma}}, where k/{rho}{sub {sigma}} is the perpendicular wavenumber and {rho}{sub {sigma}} the Larmor radius of species {sigma}. Therefore, the code SEMAL, solving these equations, is well appropriate for studying the effects of alpha particles on the ion cyclotron range of frequency (ICRF) heating. These effects are shown to be much less significant for heating at the second harmonic of deuterium than expected from local models. Other heating scenarii of deuterium as well as the influence of k{sub z}, T{sub {alpha}}, non-Maxwellian distribution functions and n{sub {alpha}}/n{sub e} are also investigated. The results indicate under which conditions the power absorption by alpha particles start to dominate and, therefore, degrade the heating efficiency. (author) 10 figs., 10 refs.}

place = {Switzerland}

year = {1991}

month = {Aug}

}

title = {Non-local effects of alpha particles on second-harmonic heating}

author = {Sauter, O, and Vaclavik, J}

abstractNote = {A model based on the linearized Vlasov-Maxwell equations, taking into account the non-local interactions of particles due to their finite Larmor radii, has been developed. Assuming an inhomogeneous 1-D slab plasma, Maxwellian equilibrium distribution functions and k{sub y}=0, it leads to a system of one first-order and two second-order integro-differential equations for E{sub x} and E{sub y}, E{sub z} respectively. These equations are valid for arbitrary value of k/{rho}{sub {sigma}}, where k/{rho}{sub {sigma}} is the perpendicular wavenumber and {rho}{sub {sigma}} the Larmor radius of species {sigma}. Therefore, the code SEMAL, solving these equations, is well appropriate for studying the effects of alpha particles on the ion cyclotron range of frequency (ICRF) heating. These effects are shown to be much less significant for heating at the second harmonic of deuterium than expected from local models. Other heating scenarii of deuterium as well as the influence of k{sub z}, T{sub {alpha}}, non-Maxwellian distribution functions and n{sub {alpha}}/n{sub e} are also investigated. The results indicate under which conditions the power absorption by alpha particles start to dominate and, therefore, degrade the heating efficiency. (author) 10 figs., 10 refs.}

place = {Switzerland}

year = {1991}

month = {Aug}

}