Results 261 to 270 of about 3,788,726 (334)
Some of the next articles are maybe not open access.
1988
In the previous chapter we saw that the problem of describing the state of thermal equilibrium of a monatomic perfect gas can be nicely solved; in particular, we found a very simple formula for the one-particle distribution P (1) in the form of a Maxwellian. This result has a large variety of applications in the statistical description of matter in the
openaire +1 more source
In the previous chapter we saw that the problem of describing the state of thermal equilibrium of a monatomic perfect gas can be nicely solved; in particular, we found a very simple formula for the one-particle distribution P (1) in the form of a Maxwellian. This result has a large variety of applications in the statistical description of matter in the
openaire +1 more source
Boltzmann Equations For Mixtures of Maxwell Gases: Exact Solutions and Power Like Tails
, 2006We consider the Boltzmann equations for mixtures of Maxwell gases. It is shown that in certain limiting case the equations admit self-similar solutions that can be constructed in explicit form.
Alexander Bobylev, I. Gamba
semanticscholar +1 more source
2020
Abstract Thermodynamics describes the relationship between heat, work, energy and motion. The key concepts are the conservation of energy and the maximisation of entropy (or disorder) as given by the first and second laws of thermodynamics.
openaire +1 more source
Abstract Thermodynamics describes the relationship between heat, work, energy and motion. The key concepts are the conservation of energy and the maximisation of entropy (or disorder) as given by the first and second laws of thermodynamics.
openaire +1 more source
2012
For about two decades, the lattice Boltzmann method (LBM) has made a major breakthrough in the numerical solution of fluid flow problems and has become a real and efficient alternative with respect to the traditional route of CFD tools and software. Seen from afar, the method looks like a toy algorithm that is easily written as a one page program to ...
Michel O. Deville, Thomas B. Gatski
openaire +1 more source
For about two decades, the lattice Boltzmann method (LBM) has made a major breakthrough in the numerical solution of fluid flow problems and has become a real and efficient alternative with respect to the traditional route of CFD tools and software. Seen from afar, the method looks like a toy algorithm that is easily written as a one page program to ...
Michel O. Deville, Thomas B. Gatski
openaire +1 more source
1991
The degree of complexity of today’s devices makes numerical methods for evaluating their electrical behavior mandatory. The special demands of modeling therefore require a simple formulation of carrier transport containing the essential physics in a way expressible in numerical code. It is often impossible to derive special physical features from first
openaire +1 more source
The degree of complexity of today’s devices makes numerical methods for evaluating their electrical behavior mandatory. The special demands of modeling therefore require a simple formulation of carrier transport containing the essential physics in a way expressible in numerical code. It is often impossible to derive special physical features from first
openaire +1 more source
2016
The phase coordinate of a particle is its position and momentum: \((\vec{r},\vec{p}\:)\). It is a six-dimensional variable, \(\left (x,y,z,p_{x},p_{y},p_{z}\right )\), a point in a six-dimensional phase space. In this book, instead of momentum \(\vec{p}\) we will mostly use two variables: particle energy E and a unit vector: \(\vec{\Omega } =\vec{ p ...
openaire +1 more source
The phase coordinate of a particle is its position and momentum: \((\vec{r},\vec{p}\:)\). It is a six-dimensional variable, \(\left (x,y,z,p_{x},p_{y},p_{z}\right )\), a point in a six-dimensional phase space. In this book, instead of momentum \(\vec{p}\) we will mostly use two variables: particle energy E and a unit vector: \(\vec{\Omega } =\vec{ p ...
openaire +1 more source
2004
Abstract The evolution of the velocity of the distribution function is governed by the Boltzmann equation. This chapter derives the Boltzmann equation for the homogeneous cooling granular gas and discusses the properties of the collision in general.
Nikolai V. Brilliantov +1 more
openaire +1 more source
Abstract The evolution of the velocity of the distribution function is governed by the Boltzmann equation. This chapter derives the Boltzmann equation for the homogeneous cooling granular gas and discusses the properties of the collision in general.
Nikolai V. Brilliantov +1 more
openaire +1 more source
2015
The Einstein equations are insufficient to describe the Universe unless we complement them with a model of its content. In this chapter we shall introduce the Boltzmann formalism, a statistical treatment of the Universe matter content that naturally coexists with general relativity. Each matter component (photons, baryons, cold dark matter, dark energy
openaire +1 more source
The Einstein equations are insufficient to describe the Universe unless we complement them with a model of its content. In this chapter we shall introduce the Boltzmann formalism, a statistical treatment of the Universe matter content that naturally coexists with general relativity. Each matter component (photons, baryons, cold dark matter, dark energy
openaire +1 more source
On the Cauchy problem for Boltzmann equations: global existence and weak stability
, 1989R. J. Diperna, P. Lions
semanticscholar +1 more source
A Fully Implicit Method for Lattice Boltzmann Equations
SIAM Journal on Scientific Computing, 2015Jizu Huang, Chao Yang, Xiaobin Cai
semanticscholar +1 more source