Random walks with asymmetric time delays
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2021
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908383526780928 |
|---|---|
| author | Łopuszański, Kamil Miękisz, Jacek |
| author_facet | Łopuszański, Kamil Miękisz, Jacek |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_05342 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Random walks with asymmetric time delays Łopuszański, Kamil Miękisz, Jacek Statistical Mechanics Probability Populations and Evolution 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. |
| title | Random walks with asymmetric time delays |
| topic | Statistical Mechanics Probability Populations and Evolution |
| url | https://arxiv.org/abs/2104.05342 |