“Boltzmann equation”的概念、定义、翻译、参考文献-科学参考

Boltzmann equation

Physics

An equation used in the study of a collection of particles in nonequilibrium statistical mechanics, particularly their transport properties. The Boltzmann equation describes a quantity called the distribution function, f, which gives a mathematical description of the state and how it is changing. The distribution function depends on a position vector r, a velocity vector v, and the time t; it thus provides a statistical statement about the positions and velocities of the particles at any time. In the case of one species of particle being present, Boltzmann’s equation can be written:

$\partial f / \partial t + a (\partial f / \partial v) + v (\partial f / \partial r) = {(\partial f / \partial t)}_{coll},$

where a is the acceleration of bodies between collisions and (∂f/∂t)_coll is the rate of change of f(r,v,t) due to collisions. The Boltzmann equation can be used to calculate transport coefficients, such as conductivity. The Boltzmann equation was proposed by Ludwig Boltzmann in 1872. It is the first equation in a hierarchy of equations in nonequilibrium statistical mechanics.

Chemistry

An equation used in the study of a collection of particles in nonequilibrium statistical mechanics, particularly their transport properties. The Boltzmann equation describes a quantity called the distribution function, f, which gives a mathematical description of the state and how it is changing. The distribution function depends on a position vector r, a velocity vector v, and the time t; it thus provides a statistical statement about the positions and velocities of the particles at any time. In the case of one species of particle being present, Boltzmann’s equation can be written
$\partial f / \partial t + a . (\partial f / \partial v) + v . (\partial f / \partial r) = (\partial f / \partial t)_{coll},$
where a is the acceleration of bodies between collisions and (∂‎f/∂‎t)_coll is the rate of change of f(r,v,t) due to collisions. The Boltzmann equation can be used to calculate transport coefficients, such as conductivity. The equation was proposed by Ludwig Boltzmann in 1872.

Chemical Engineering

An equation used in non-equilibrium statistical mechanics to calculate transport coefficients such as thermal conductivity. The equation describes a distribution function, f, which gives a description of the state and how it is changing with position at any time t. It has the mathematical form:
$\frac{\partial f}{\partial t} + a . (\frac{\partial f}{\partial v}) + v . (\frac{\partial f}{\partial r}) = {(\frac{\partial f}{\partial t})}_{c o l l}$

where v is a velocity vector, a is the acceleration of particles between collisions and r a position vector. It was proposed in 1872 by Austrian physicist Ludwig Eduard Boltzmann (1844–1906).

单词	Boltzmann equation
释义	Boltzmann equation Physics An equation used in the study of a collection of particles in nonequilibrium statistical mechanics, particularly their transport properties. The Boltzmann equation describes a quantity called the distribution function, f, which gives a mathematical description of the state and how it is changing. The distribution function depends on a position vector r, a velocity vector v, and the time t; it thus provides a statistical statement about the positions and velocities of the particles at any time. In the case of one species of particle being present, Boltzmann’s equation can be written: $\partial f / \partial t + a (\partial f / \partial v) + v (\partial f / \partial r) = {(\partial f / \partial t)}_{coll},$ where a is the acceleration of bodies between collisions and (∂f/∂t)_coll is the rate of change of f(r,v,t) due to collisions. The Boltzmann equation can be used to calculate transport coefficients, such as conductivity. The Boltzmann equation was proposed by Ludwig Boltzmann in 1872. It is the first equation in a hierarchy of equations in nonequilibrium statistical mechanics. Chemistry An equation used in the study of a collection of particles in nonequilibrium statistical mechanics, particularly their transport properties. The Boltzmann equation describes a quantity called the distribution function, f, which gives a mathematical description of the state and how it is changing. The distribution function depends on a position vector r, a velocity vector v, and the time t; it thus provides a statistical statement about the positions and velocities of the particles at any time. In the case of one species of particle being present, Boltzmann’s equation can be written $\partial f / \partial t + a . (\partial f / \partial v) + v . (\partial f / \partial r) = (\partial f / \partial t)_{coll},$ where a is the acceleration of bodies between collisions and (∂‎f/∂‎t)_coll is the rate of change of f(r,v,t) due to collisions. The Boltzmann equation can be used to calculate transport coefficients, such as conductivity. The equation was proposed by Ludwig Boltzmann in 1872. Chemical Engineering An equation used in non-equilibrium statistical mechanics to calculate transport coefficients such as thermal conductivity. The equation describes a distribution function, f, which gives a description of the state and how it is changing with position at any time t. It has the mathematical form: $\frac{\partial f}{\partial t} + a . (\frac{\partial f}{\partial v}) + v . (\frac{\partial f}{\partial r}) = {(\frac{\partial f}{\partial t})}_{c o l l}$ where v is a velocity vector, a is the acceleration of particles between collisions and r a position vector. It was proposed in 1872 by Austrian physicist Ludwig Eduard Boltzmann (1844–1906).
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