DERIVATION OF THE CONTINUOUS-TIME RANDOM-WALK EQUATION

DERIVATION OF THE CONTINUOUS-TIME RANDOM-WALK EQUATION
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DOI:
10.1103/physrevlett.44.55
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发表时间:
1980-01-01
影响因子:
8.6
通讯作者:
SILBEY, R
SILBEY, R
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
KLAFTER, J;SILBEY, R

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考虑了电子或激发态在随机占据的点阵上的输运问题。在任何构型中,控制输运的方程被假定为主方程。用投影算符技术推导出控制所有构型上平均输运的精确方程,它可以写成广义主方程或连续时间随机游走方程(CTRW),从而证明了CTRW对这些问题的正确性。
The transport of electrons or excitations on a lattice randomly occupied by guests is considered. The equation governing the transport in any configuration is assumed to be the master equation. A projection operator technique is used to derive the exact equation governing the transport averaged over all configurations, which can be written as either a generalized master equation or the continuous-time random-walk equations (CTRW), establishing the correctness of the CTRW for these problems.