scholarly journals The Importance of Anisotropy for Relativistic Fluids with Spherical Symmetry

2010 ◽  
Vol 49 (6) ◽  
pp. 1236-1243 ◽  
Author(s):  
B. V. Ivanov
Keyword(s):  
Spherical Symmetry ◽  
Relativistic Fluids

scholarly journals A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background

2021 ◽  
Vol 89 (1) ◽  
Author(s):  
Philippe G. LeFloch ◽  
Carlos Parés ◽  
Ernesto Pimentel-García
Keyword(s):  
Asymptotic Behavior ◽  
Velocity Field ◽  
Compressible Fluid ◽  
Spherical Symmetry ◽  
Mass Density ◽  
Numerical Algorithms ◽  
Stationary Solutions ◽  
Relativistic Fluids ◽  
Third Order ◽  
Order Accuracy

AbstractFor the evolution of a compressible fluid in spherical symmetry on a Schwarzschild curved background, we design a class of well-balanced numerical algorithms up to third-order accuracy. We treat both the relativistic Burgers–Schwarzschild model and the relativistic Euler–Schwarzschild model and take advantage of the explicit or implicit forms available for the stationary solutions of these models. Our schemes follow the finite volume methodology and preserve the stationary solutions. Importantly, they allow us to investigate the global asymptotic behavior of such flows and determine the asymptotic behavior of the mass density and velocity field of the fluid.

Boltzmann’s Kinetic Theory

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Boltzmann Equation ◽  
Kinetic Theory ◽  
Statistical Physics ◽  
Neutron Transport ◽  
Condensed Matter ◽  
Relativistic Fluids ◽  
Classical Statistical Mechanics ◽  
Dilute Gas ◽  
Equilibrium Processes ◽  
The Boltzmann Equation

Kinetic theory is the branch of statistical physics dealing with the dynamics of non-equilibrium processes and their relaxation to thermodynamic equilibrium. Established by Ludwig Boltzmann (1844–1906) in 1872, his eponymous equation stands as its mathematical cornerstone. Originally developed in the framework of dilute gas systems, the Boltzmann equation has spread its wings across many areas of modern statistical physics, including electron transport in semiconductors, neutron transport, quantum-relativistic fluids in condensed matter and even subnuclear plasmas. In this Chapter, a basic introduction to the Boltzmann equation in the context of classical statistical mechanics shall be provided.

scholarly journals Horizons as boundary conditions in spherical symmetry

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
Sharmila Gunasekaran ◽  
Ivan Booth
Keyword(s):  
Boundary Conditions ◽  
Spherical Symmetry
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