Skin effect in a gaseous plasma with a collision frequency proportional to the electron velocity

Латышев, А. В.; Yushkanov, А. А.

doi:10.1134/s1063780x06110092

Cited by 12 publications

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“…We show that the quantity Λ (0) coincides precisely with the longitudinal permittivity of the plasma as k → 0. In this case, the longitudinal permittivity ε(ω) of the plasma can be expressed in terms of the high-frequency dielectric conductivity of the plasma obtained in [8]:…”

Section: Drude and Debye Modesmentioning

confidence: 99%

“…To describe the plasma behavior, the authors of [8] used the kinetic equation with the collision rate proportional to the modulus of the electron velocity and obtained an analytic solution for the skin-effect problem. Here, we use this equation to study the behavior of a plasma in a variable external electric field E 1 in a half-space.…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…The relation between the quantities l and τ is determined by the requirement that the expressions for the static conductivity in terms of l and in terms of τ coincide. The collision integral used here leads to the expression for the static conductivity [8]:…”

Section: Drude and Debye Modesmentioning

confidence: 99%

“…To describe the electron distribution function f (r, v, t), we use the Vlasov kinetic equation [10] with a self-consistent electric field and the collision integral in the Bhatnagar-Gross-Krook form with the effective rate (proportional to the modulus of the electron velocity) of collisions of electrons with plasma particles [8]:…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…Here, we use this equation to study the behavior of a plasma in a variable external electric field E 1 in a half-space. We neglect the response of ions to the external electric field [9].To describe the electron distribution function f (r, v, t), we use the Vlasov kinetic equation [10] with a self-consistent electric field and the collision integral in the Bhatnagar-Gross-Krook form with the effective rate (proportional to the modulus of the electron velocity) of collisions of electrons with plasma particles [8]:where e 0 is the electron charge, f * is the Maxwell distribution function,l is the mean free path of electrons, k B is the Boltzmann constant, m is the electron mass, n * is the parameter determined from the conservation law for the number of particles, v is the electron velocity, p …”

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confidence: 99%

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Behavior of a plasma with the collision rate proportional to the electron velocity in an external electric field

Латышев

Yushkanov

2007

Theor Math Phys

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We solve the problem of the behavior of a gas plasma in a half-space analytically using the kinetic equation with the collision rate proportional to the modulus of the electron velocity. The plasma is in a variable external electric field. The specular reflection of electrons from the plasma boundary is used as a boundary condition. We use the solution to find the screened electric field. Statement of the problemThe problem of the behavior of a collisionless gas plasma (see [1]) in the half-space located in an external longitudinal electric field (normal to the surface) was studied by Landau [2] in the case of purely specular reflection of electrons from the boundary. A more general case of boundary conditions was studied in [3], where an electric field located at a large distance from the plasma boundary was considered.We solved this problem analytically in [4]-[7]. The Maxwell plasma was studied in [4] and [5], and a degenerate plasma was studied in [6] and [7]. In these cases, the specular boundary conditions were considered in [4] and [6], and the diffusive ones, in [5] and [7]. The collisonless case was studied in [2], and the rate of electron collisions was assumed to be constant in [4]-[7].To describe the plasma behavior, the authors of [8] used the kinetic equation with the collision rate proportional to the modulus of the electron velocity and obtained an analytic solution for the skin-effect problem. Here, we use this equation to study the behavior of a plasma in a variable external electric field E 1 in a half-space. We neglect the response of ions to the external electric field [9].To describe the electron distribution function f (r, v, t), we use the Vlasov kinetic equation [10] with a self-consistent electric field and the collision integral in the Bhatnagar-Gross-Krook form with the effective rate (proportional to the modulus of the electron velocity) of collisions of electrons with plasma particles [8]:where e 0 is the electron charge, f * is the Maxwell distribution function,l is the mean free path of electrons, k B is the Boltzmann constant, m is the electron mass, n * is the parameter determined from the conservation law for the number of particles, v is the electron velocity, p

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Section: Drude and Debye Modesmentioning

confidence: 99%

Section: Statement Of the Problemmentioning

confidence: 99%

Section: Drude and Debye Modesmentioning

confidence: 99%

Section: Statement Of the Problemmentioning

confidence: 99%

mentioning

confidence: 99%

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Behavior of a plasma with the collision rate proportional to the electron velocity in an external electric field

Латышев

Yushkanov

2007

Theor Math Phys

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The electrical conductivity of an inhomogeneous thin metal wire in the case of an ellipsoidal Fermi surface and a constant mean free path of the electrons

Кузнецова¹,

Романов²,

Yushkanov³

2019

Phys. Scr.

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The kinetic approach is used to calculate the high-frequency electrical conductivity of a thin nonuniform metal wire with a dielectric core. It is assumed that the surface of the metal Fermi has the form of a three-axis ellipsoid. The dependences of the module and the argument of the dimensionless conductivity on the ratio of the radii of the wire and the dielectric nucleus, on the dimensionless effective mass along the x-axis are analyzed and compared with the isotropic case of electron scattering.

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Longitudinal dielectric permeability of a quantum degenerate plasma with a constant collisional frequency

Латышев

Yushkanov

2014

High Temp

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Formulas for the longitudinal dielectric permeability in quantum degenerate collisional plasma with the frequency of collisions proportional to the module of the wave vector, in approach Мермина, are received. Equation of Shrödinger Boltzmann with integral of collisions relaxation type in Mermin's approach is applied.It is spent numerical and graphic comparison of the real and imaginary parts of dielectric function of non-degenerate and maxwellian collisional quantum plasma with a constant and a variable frequencies of collisions. It is shown, that the longitudinal dielectric function weakly depends on a wave vector.

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Skin effect in a gaseous plasma with a collision frequency proportional to the electron velocity

Cited by 12 publications

References 1 publication

Behavior of a plasma with the collision rate proportional to the electron velocity in an external electric field

Behavior of a plasma with the collision rate proportional to the electron velocity in an external electric field

The electrical conductivity of an inhomogeneous thin metal wire in the case of an ellipsoidal Fermi surface and a constant mean free path of the electrons

Longitudinal dielectric permeability of a quantum degenerate plasma with a constant collisional frequency

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