Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
The Journal of Chemical Physics
89 (1988), S. 6905-6911
ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
The probability distribution of a homogeneous non-Markovian random walk on the positive integers for which each step depends upon all prior states is computed and compared with its Markovian analog. Whereas the dispersion, amplitude, and entropy of the Markovian walk each increase monotonically for all times, this behavior is attained only for long times by the non-Markovian walk. The approach to monotonic time dependence is marked by decaying oscillations in each of these attributes. The unusual behavior of this walk may be related to the kinetics of the crystallization of supercooled droplets.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.455314
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