Jump rate and jump lengths in periodic systems with memory

摘要

The jump rate and the jump-length probability distribution (JLPD) are calculated in a periodic potential with exponentially decaying memory friction, solving the generalized Langevin equation (GLE) by the matrix-continued-fraction method (MCFM). It is shown that the jump rate, as a function of the memory decay parameter, presents a turnover point; below the turnover a significant percentage of long jumps appears even at sufficiently high static friction, where long jumps are strictly forbidden in the absence of memory. (C) 2001 Elsevier Science BN. All rights reserved. [References: 31]