Sisyphus random walks in the presence of moving traps
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909533933142016 |
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| author | Hod, Shahar |
| author_facet | Hod, Shahar |
| contents | It has recently been proved that, in the presence of a static absorbing trap, Sisyphus random walkers with a restart mechanism are characterized by {\it exponentially} decreasing asymptotic survival probability functions. Interestingly, in the present compact paper we prove analytically that, in the presence of a moving trap whose velocity approaches zero asymptotically in time as $v_{\text{trap}}\sim 1/t$, the survival probabilities of the Sisyphus walkers are dramatically changed into inverse {\it power-law} decaying tails. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08171 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sisyphus random walks in the presence of moving traps Hod, Shahar Probability Statistical Mechanics It has recently been proved that, in the presence of a static absorbing trap, Sisyphus random walkers with a restart mechanism are characterized by {\it exponentially} decreasing asymptotic survival probability functions. Interestingly, in the present compact paper we prove analytically that, in the presence of a moving trap whose velocity approaches zero asymptotically in time as $v_{\text{trap}}\sim 1/t$, the survival probabilities of the Sisyphus walkers are dramatically changed into inverse {\it power-law} decaying tails. |
| title | Sisyphus random walks in the presence of moving traps |
| topic | Probability Statistical Mechanics |
| url | https://arxiv.org/abs/2503.08171 |