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arXiv · 2104.05342

Random walks with asymmetric time delays

Kamil Łopuszański·Jacek Miękisz
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Abstract

We studied simple random-walk models with asymmetric time delays. Stochastic simulations were performed for hyperbolic-tangent fitness functions and to obtain analytical results we approximated them by step functions. A novel behavior has been observed. Namely, the mean position of a walker depends on time delays. This is a joint effect of both stochasticity and time delays present in the system. We also observed that by shifting appropriately fitness functions we may reverse the effect of time delays - the mean position of the walker changes the sign.

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BibTeXRIS

Kamil Łopuszański, Jacek Miękisz. 2021-04-12. Random walks with asymmetric time delays. https://doi.org/10.1103/physreve.105.064131

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