One-Dimensional Free Expansion of a Collisionless Plasma

1969 ◽  
Vol 12 (4) ◽  
pp. 923 ◽  
Author(s):  
Yasushi Hiroshige
Keyword(s):  
Collisionless Plasma ◽  
Free Expansion ◽  
One Dimensional

A self-similar solution for expansion into a vacuum of a collisionless plasma bunch

1998 ◽  
Vol 59 (1) ◽  
pp. 83-90 ◽  
Author(s):  
A. V. BAITIN ◽  
K. M. KUZANYAN
Keyword(s):  
Electron Distribution Function ◽  
Collisionless Plasma ◽  
Electron Component ◽  
One Dimensional ◽  
Ultrarelativistic Electron ◽  
Plasma Bunch ◽  
Self Similar Solution ◽  
Self Similar ◽  
The One ◽  
Similar Solutions

The process of expansion into a vacuum of a collisionless plasma bunch with relativistic electron temperature is investigated for the one-dimensional case. Self-similar solutions for the evolution of the electron distribution function and ion acceleration are obtained, taking account of cooling of the electron component of plasma for the cases of non-relativistic and ultrarelativistic electron energies.

An exact electrostatic shock solution for a collisionless plasma

1970 ◽  
Vol 4 (3) ◽  
pp. 549-561 ◽  
Author(s):  
A. Smith
Keyword(s):  
Exact Solution ◽  
Steady State ◽  
Energy Equation ◽  
Collisionless Plasma ◽  
Debye Length ◽  
Elementary Functions ◽  
One Dimensional ◽  
Particle Distributions ◽  
Vlasov Equations ◽  
Shock Solution

An exact solution to the steady-state Vlasov equations and Poisson's equation for a one-dimensional plasma of electrons and protons is obtained by splitting the energy equation into two integral equations for the trapped particle distributions. This solution has the properties that the number densities and electric potential are moiiotonic functions of space and do most of their changing over a distance of the order of the Debye length for electrons. The distributions are everywhere differentiable in phase space and are Maxwellian-like, and in terms of elementary functions. Evidence is given to support stability for restricted shock strengths.

scholarly journals Force balance in current sheets in collisionless plasma

2021 ◽  
Vol 7 (2) ◽  
pp. 11-21
Author(s):  
Oleg Mingalev ◽  
Pavel Setsko ◽  
Mikhail Melnik ◽  
Igor Mingalev ◽  
Helmi Malova ◽  
...  
Keyword(s):  
Current Sheet ◽  
Balance Equation ◽  
Normal Component ◽  
Collisionless Plasma ◽  
Force Balance ◽  
One Dimensional ◽  
Current Sheets ◽  
First Time ◽  
The Magnetic Field ◽  
Force Balance Equation

In this paper, we derive a divergent form of the force balance equation for collisionless plasma in the quasineutrality approximation, in which the electric field and current density are excluded. For a stationary spatially one-dimensional current sheet with a constant normal component of the magnetic field and magnetized electrons, the general form of the force balance equation has been obtained for the first time in the form of a conservation law. An equation in this form is necessary for the correct formulation of boundary conditions when modeling asymmetric current sheets, as well as for the control of the stationarity of the numerical solution obtained in the model. Furthermore, the fulfillment of this equation is considered for two types of stationary configurations of a thin current sheet, which are obtained using a numerical model. The derived equation makes it possible to develop models of asymmetric current sheets, in particular current sheets on the magnetopause flanks in the magnetotail.

Probability-maximization theory for a highly turbulent beam-plasma system

1987 ◽  
Vol 38 (3) ◽  
pp. 483-493 ◽  
Author(s):  
Tadas Nakamura ◽  
Takashi Yamamoto
Keyword(s):  
Theoretical Study ◽  
Collisionless Plasma ◽  
System Boundary ◽  
Plasma System ◽  
Mean Velocity ◽  
New Approach ◽  
One Dimensional ◽  
Beam Plasma ◽  
Probable Distribution ◽  
The Mean

A new approach to the theoretical study of turbulent behaviour of a collisionless plasma is developed. This approach is based upon the concept or probability maximization originally applied to collisional gases by Boltzmann. The probability-maximization theory deals with stochastic processes in a steady turbulent plasma by solving for the most-probable distribution. Our theory as applied to counter-streaming electron beams can quantitatively predict beam retardation, i.e. a decrease in the mean velocity of electrons injected from the system boundary. This is also in agreement with the results of a one-dimensional numerical experiment performed for such a beam-plasma system.

scholarly journals Force balance in current sheets in collisionless plasma

2021 ◽  
Vol 7 (2) ◽  
pp. 12-23
Author(s):  
Oleg Mingalev ◽  
Pavel Setsko ◽  
Mikhail Melnik ◽  
Igor Mingalev ◽  
Helmi Malova ◽  
...  
Keyword(s):  
Current Sheet ◽  
Balance Equation ◽  
Normal Component ◽  
Collisionless Plasma ◽  
Force Balance ◽  
One Dimensional ◽  
Current Sheets ◽  
First Time ◽  
The Magnetic Field ◽  
Force Balance Equation

In this paper, we derive a divergent form of the force balance equation for collisionless plasma in the quasineutrality approximation, in which the electric field and current density are excluded. For a stationary spatially one-dimensional current sheet with a constant normal component of the magnetic field and magnetized electrons, the general form of the force balance equation has been obtained for the first time in the form of a conservation law. An equation in this form is necessary for the correct formulation of boundary conditions when modeling asymmetric current sheets, as well as for the control of the stationarity of the numerical solution obtained in the model. Furthermore, the fulfillment of this equation is considered for two types of stationary configurations of a thin current sheet, which are obtained using a numerical model. The derived equation makes it possible to develop models of asymmetric current sheets, in particular current sheets on the magnetopause flanks in the magnetotail.

scholarly journals Free expansion of a Bose-Einstein condensate in a one-dimensional optical lattice

2002 ◽  
Vol 66 (2) ◽  
Author(s):  
O. Morsch ◽  
M. Cristiani ◽  
J. H. Müller ◽  
D. Ciampini ◽  
E. Arimondo
Keyword(s):  
Optical Lattice ◽  
Einstein Condensate ◽  
Free Expansion ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion

2021 ◽  
Vol 54 (40) ◽  
pp. 404002 ◽  
Author(s):  
Stefano Scopa ◽  
Alexandre Krajenbrink ◽  
Pasquale Calabrese ◽  
Jérôme Dubail
Keyword(s):  
Hard Core ◽  
Quantum Gas ◽  
Free Expansion ◽  
One Dimensional

scholarly journals Plasma sheath and presheath development near a partially reflective surface

2021 ◽  
Vol 87 (1) ◽  
Author(s):  
Boris N. Breizman ◽  
Dmitrii I. Kiramov
Keyword(s):  
Rarefaction Wave ◽  
Collisionless Plasma ◽  
Plasma Phys ◽  
Plasma Sheath ◽  
One Dimensional ◽  
Flow Parameters ◽  
Wall Potential ◽  
Electron Reflection ◽  
Strong Reflection ◽  
Self Similar

This work addresses one-dimensional evolution of a collisionless plasma next to a solid surface that is immersed into the plasma instantaneously. In particular, we consider how the self-similar rarefaction wave (Allen & Andrews, J. Plasma Phys., vol. 4, 1970, pp. 187–194) establishes dynamically and how the electron reflection from the surface modifies the structure of the rarefaction wave and the Debye sheath. We demonstrate that a sufficiently strong reflection eliminates the Debye sheath and changes the wall potential and the plasma flow parameters significantly. The paper presents numerical results that illustrate the developed analytical theory.

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