Third-order transport coefficients for charged particle swarms

1999 ◽  
Vol 110 (5) ◽  
pp. 2423-2430 ◽  
Author(s):  
Slobodan B. Vrhovac ◽  
Zoran Lj. Petrović ◽  
Larry A. Viehland ◽  
Thalanayar S. Santhanam
Keyword(s):  
Charged Particle ◽  
Transport Coefficients ◽  
Third Order ◽  
Particle Swarms

scholarly journals Comment on FTI Method and Transport Coefficient Definitions for Charged Particle Swarms in Gases

1995 ◽  
Vol 48 (4) ◽  
pp. 677 ◽  
Author(s):  
RE Robson
Keyword(s):  
Charged Particle ◽  
Path Integral ◽  
Transport Coefficients ◽  
Space Distribution ◽  
Particle Swarms ◽  
Integral Methods ◽  
Time Integral ◽  
Definition Of ◽  
Boltzmann's Equation ◽  
Boltzmann’S Equation

The kinetic theory of charged particle swarms in gases is based upon solution of the space and time dependent Boltzmann's equation for the phase space distribution function f(r, c, t). Hydrodynamic transport coefficients are defined in connection with a density gradient expansion (DGE) of f(r, c, t) and it is believed that these are the quantities measured in experiment. On the other hand, Ikuta and coworkers start with the spatially independent form of the Boltzmann equation, which they solve iteratively as in path-integral methods, and define transport coefficients in terms of the 'starting rate distribution', rather than f itself. Ikuta's procedure has come to be known as the 'flight time integral' (FTI) method and the discrepancies between numerical calculations based upon this and the more commonly known DGE procedure have generated a deal of controversy in recent times. The purpose of this paper is to point out that the respective definitions of the transverse diffusion coefficient DT coincide only for light swarm particles undergoing collisions for which the differential cross section is isotropic, and that the particular technique used for solving Boltzmann's equation, be it a path-integral or a multi-term method, has nothing to do with the numerical discrepancies which are observed when scattering is anisotropic. In particular, it is shown that Ikuta's definition of DT is inconsistent with even the well established result for constant collision frequency.

Third-order transport coefficient tensor of charged-particle swarms in electric and magnetic fields

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
I. Simonović ◽  
D. Bošnjaković ◽  
Z. Lj. Petrović ◽  
P. Stokes ◽  
R. D. White ◽  
...  
Keyword(s):  
Charged Particle ◽  
Magnetic Fields ◽  
Transport Coefficient ◽  
Third Order ◽  
Particle Swarms ◽  
Electric And Magnetic Fields

scholarly journals Third-order transport coefficients for localised and delocalised charged-particle transport

2018 ◽  
Vol 8 (1) ◽  
Author(s):  
Peter W. Stokes ◽  
Ilija Simonović ◽  
Bronson Philippa ◽  
Daniel Cocks ◽  
Saša Dujko ◽  
...  
Keyword(s):  
Charged Particle ◽  
Particle Transport ◽  
Transport Coefficients ◽  
Third Order ◽  
Charged Particle Transport

scholarly journals Critical behaviour of hydrodynamic series

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
M. Asadi ◽  
H. Soltanpanahi ◽  
F. Taghinavaz
Keyword(s):  
Chemical Potential ◽  
Transport Coefficients ◽  
Hydrodynamic Modes ◽  
Third Order ◽  
Hydrodynamic Mode ◽  
Strongly Coupled ◽  
Conformal Theory ◽  
Shear Dispersion ◽  
Type Iib String Theory ◽  
Hydrodynamic Transport

Abstract We investigate the time-dependent perturbations of strongly coupled $$ \mathcal{N} $$ N = 4 SYM theory at finite temperature and finite chemical potential with a second order phase transition. This theory is modelled by a top-down Einstein-Maxwell-dilaton description which is a consistent truncation of the dimensional reduction of type IIB string theory on AdS5×S5. We focus on spin-1 and spin-2 sectors of perturbations and compute the linearized hydrodynamic transport coefficients up to the third order in gradient expansion. We also determine the radius of convergence of the hydrodynamic mode in spin-1 sector and the lowest non-hydrodynamic modes in spin-2 sector. Analytically, we find that all the hydrodynamic quantities have the same critical exponent near the critical point θ = $$ \frac{1}{2} $$ 1 2 . Moreover, we propose a relation between symmetry enhancement of the underlying theory and vanishing of the only third order hydrodynamic transport coefficient θ1, which appears in the shear dispersion relation of a conformal theory on a flat background.

Spatiotemporal Characteristics of Charged-Particle Swarms in Orthogonal Electric and Magnetic Fields

2011 ◽  
Vol 39 (11) ◽  
pp. 2566-2567 ◽  
Author(s):  
Zoran M. Raspopovic ◽  
Saša Dujko ◽  
Ronald D. White ◽  
Zoran Lj. Petrovic
Keyword(s):  
Charged Particle ◽  
Magnetic Fields ◽  
Particle Swarms ◽  
Spatiotemporal Characteristics ◽  
Electric And Magnetic Fields

scholarly journals Anisotropic Dispersion of a Charged Particle Swarm in a Turbulent Gas in an Electrostatic Field

1993 ◽  
Vol 46 (2) ◽  
pp. 261
Author(s):  
RE Robson
Keyword(s):  
Charged Particle ◽  
Kinetic Theory ◽  
Electrostatic Field ◽  
Molecular Diffusion ◽  
Particle Swarm ◽  
Theory Analysis ◽  
Hydrodynamic Description ◽  
Particle Swarms ◽  
Anisotropic Character ◽  
Anisotropic Dispersion

This paper generalises an earlier result of Saffman (1960) to account for cross effects between turbulent and molecular diffusion for charged particle swarms in a gas in the presence of an electrostatic field. It is shown that turbulence enhances the anisotropic character of diffusion. The desirability of using a full kinetic theory analysis as against a limited hydrodynamic description of the swarm is discussed, and one possible tractable approach pointed out.

Third-order transport coefficients of ion swarms

2021 ◽  
Vol 155 (20) ◽  
pp. 204301
Author(s):  
Larry A. Viehland ◽  
Emerson Ducasse ◽  
Michelle Cordier ◽  
Aaron Trout ◽  
Jamiyanaa Dashdorj
Keyword(s):  
Transport Coefficients ◽  
Third Order
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