Results 181 to 190 of about 1,190,033 (239)
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Quasiparticle Boltzmann equation in semiconductors
Physical Review B, 1994The quasiparticle approximation and corrections beyond it are derived from expansion in the spirit of the virial corrections. This way, the Boltzmann equation for electrons in semiconductors is recovered from the nonequilibrium Green's functions without unjustified neglect of the former theory.
, Spicka, , Lipavsk
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THE BOLTZMANN EQUATION IS A RENORMALIZATION GROUP EQUATION
International Journal of Modern Physics B, 2000It is known that renormalization group (RG) approaches to partial differential equations give reduced equations, e.g., amplitude equations, as renormalization group equations. Therefore, equations governing slow or global behaviors ought to be derived RG-theoretically.
Pashko, O., Oono, Yoshitsugu
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ON THE RELATIVISTIC BOLTZMANN EQUATION
Acta Mathematica Scientia, 1998Summary: The author shows the invalidity of M. Dudyński's and M. L. Ekiel-Jeżewska's existence proof (1992) for the relativistic Boltzmann equation. He proves global existence of mild solutions of its initial value problem with initial data only satisfying the natural bound, i.e., finite mass, ``inertia'', energy and entropy.
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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
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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
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1995
Systems consisting of a large number of particles are often most easily described by a probability density function / ( # , p , t), which gives the probability of finding a particle (molecule, photon, electron, etc.) at a position x and with momentum p.
Alfred Kersch, William J. Morokoff
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Systems consisting of a large number of particles are often most easily described by a probability density function / ( # , p , t), which gives the probability of finding a particle (molecule, photon, electron, etc.) at a position x and with momentum p.
Alfred Kersch, William J. Morokoff
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The approximation of the Boltzmann equation by stochastic equations
USSR Computational Mathematics and Mathematical Physics, 1988See the review Zbl 0648.65082.
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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.
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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.
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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
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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
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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
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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
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2002
In the Langevin equation (Chap. 8), irreversibility was introduced phenomenologically through a damping term. Kinetic theories have the goal of explaining and quantitatively calculating transport processes and dissipative effects due to scattering of the atoms (or in a solid, of the quasiparticles) .
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In the Langevin equation (Chap. 8), irreversibility was introduced phenomenologically through a damping term. Kinetic theories have the goal of explaining and quantitatively calculating transport processes and dissipative effects due to scattering of the atoms (or in a solid, of the quasiparticles) .
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