Derivation of the transport equation for electrons moving through random impurities
Derivation of the transport equation for electrons moving through random impurities
复制标题
电子穿过随机杂质的传输方程的推导
DOI：
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发表时间：
1977
期刊：
影响因子：
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通讯作者：
H. Spohn
中科院分区：
文献类型：
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作者：
H. Spohn
一个单一的（非相对论性的，无自旋的）电子受到恒定的外部电场与位于无限延伸的晶格上的杂质相互作用，通过随机强度的电势。随机强度由高斯随机变量场给出。我们证明了平均动力学的存在性，并证明了在弱耦合极限λ → 0，λ2t=τ固定的情况下，得到了通常的速度分布输运方程。
A single (nonrelativistic, spinless) electron subject to a constant external electric field interacts with impurities located on an infinitely extended lattice by a potential of random strength. The random strength is given by a field of Gaussian random variables. We show the existence of the averaged dynamics and prove that in the weak coupling limit, λ → 0, λ2t=τ fixed, one obtains the usual transport equation for the velocity distribution.