Asymptotic behavior of a solution to the Poisson-Boltzmann equation in a three-dimensional domain with a thin bridge

1998 ◽  
Vol 39 (1) ◽  
pp. 81-98
Author(s):  
S. A. Nazarov
Keyword(s):  
Asymptotic Behavior ◽  
Boltzmann Equation ◽  
Three Dimensional ◽  
Thin Bridge ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation ◽  
Dimensional Domain

scholarly journals H i scale height in dwarf galaxies

2020 ◽  
Vol 495 (3) ◽  
pp. 2867-2881 ◽  
Author(s):  
Narendra Nath Patra
Keyword(s):  
Boltzmann Equation ◽  
Dwarf Galaxies ◽  
Three Dimensional ◽  
Axial Ratio ◽  
Scale Height ◽  
Hydrostatic Equilibrium ◽  
Vertical Scale ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation ◽  
Set Up

ABSTRACT Assuming a vertical hydrostatic equilibrium in the baryonic discs, joint Poisson–Boltzmann equation was set up and solved numerically in a sample of 23 nearby dwarf galaxies from the LITTLE-THINGS survey. This is the largest sample to date for which detailed hydrostatic modelling is performed. The solutions of the Poisson–Boltzmann equation provide a complete three-dimensional distribution of the atomic hydrogen (H i) in these galaxies. Using these solutions, we estimate the vertical scale height (defined as the half width at half maxima of the density distribution) of the H i as a function of radius. We find that the scale height in our sample galaxies varies between a few hundred parsec at the centre to a few kiloparsec at the edge. These values are significantly higher than what is observed in spiral galaxies. We further estimate the axial ratios to investigate the thickness of the H i discs in dwarf galaxies. For our sample galaxies, we find a median axial ratio to be 0.40, which is much higher than the same observed in the Milky Way. This indicates that the vertical hydrostatic equilibrium results in thicker H i discs in dwarf galaxies naturally.

scholarly journals Monte Carlo methods for linear and non-linear Poisson-Boltzmann equation

2015 ◽  
Vol 48 ◽  
pp. 420-446 ◽  
Author(s):  
Mireille Bossy ◽  
Nicolas Champagnat ◽  
Hélène Leman ◽  
Sylvain Maire ◽  
Laurent Violeau ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Boltzmann Equation ◽  
Monte Carlo Methods ◽  
Non Linear ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation
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