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Published in 2017 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa819f
Abstract: Self-avoiding walks on the body-centered-cubic (BCC) and face-centered-cubic (FCC) lattices are enumerated up to lengths 28 and 24, respectively, using the length-doubling method. Analysis of the enumeration results yields values for the exponents γ and…
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Keywords:
fcc lattices;
exact enumeration;
self avoiding;
avoiding walks ... See more keywords
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Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.062101
Abstract: We propose an analytical approach to study non-Markov random walks by employing an exact enumeration method. Using the method, we derive an exact expansion for the first-passage time (FPT) distribution of any continuous differentiable non-Markov…
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Keywords:
exact enumeration;
random walks;
first passage;
non markov ... See more keywords