منابع مشابه
On the quantum Boltzmann equation
We give a nonrigorous derivation of the nonlinear Boltzmann equation from the Schrödinger evolution of interacting fermions. The argument is based mainly on the assumption that a quasifree initial state satisfies a property called restricted quasifreeness in the weak coupling limit at any later time. By definition, a state is called restricted quasifree if the four-point and the eight-point fun...
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A source term in the quantum Boltzmann equation, which accounts for the spontaneous creation of ee-pairs in external electric fields, is derived from first principles and evaluated numerically. Careful analysis of time scales reveals that this source term is generally non-Markovian. This implies in particular that there may be temporary violations of the H-theorem. PACS numbers: 12.38.Mh, 25.75...
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2014 The quantum Boltzmann equation governing the evolution of the one-body internal density matrix of an atomic hydrogen (or alkali) gas is established. Indistinguishability of both nuclei and electrons explains the presence in the collision term of a large number (eleven) of « exchange cross sections ». The different collision terms fall into two categories : these which contribute to the dam...
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We wish to describe the motion of a rarefied gas, consisting of a very large number of identical particles, moving in a three-dimensional space. For (t, x, ξ) ∈ [0,∞[×IR3 × IR, we consider a function f(t, x, ξ) describing the density of particles at time t, at the point x, having speed ξ. In alternative, we may also think of f(t, x, ξ) as the probability of finding a particle with speed ξ near ...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2004
ISSN: 0022-4715
DOI: 10.1023/b:joss.0000037224.56191.ed