Resetting Induces Memory Loss in Non-Markovian Processes
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909788266299392 |
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| author | Saha, Debasish Sharma, Rati |
| author_facet | Saha, Debasish Sharma, Rati |
| contents | Stochastic resetting is a powerful strategy known to accelerate the first-passage time statistics of stochastic processes. While its effects on Markovian systems are well understood, a general framework for non-Markovian dynamics is still lacking, mostly due to its mathematical complexity. Here, we present an analytical and numerical framework to study non-Markovian processes under resetting, focusing on the first-passage properties of escape kinetics from metastable states. We show that resetting disrupts the inherent time correlation, inducing Markovianity, thereby leading to an efficient escape mechanism. This work, therefore, provides a much needed theoretical approach for incorporating resetting into complex chemical and biological processes, which follow non-Markovian dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11608 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resetting Induces Memory Loss in Non-Markovian Processes Saha, Debasish Sharma, Rati Statistical Mechanics Soft Condensed Matter Stochastic resetting is a powerful strategy known to accelerate the first-passage time statistics of stochastic processes. While its effects on Markovian systems are well understood, a general framework for non-Markovian dynamics is still lacking, mostly due to its mathematical complexity. Here, we present an analytical and numerical framework to study non-Markovian processes under resetting, focusing on the first-passage properties of escape kinetics from metastable states. We show that resetting disrupts the inherent time correlation, inducing Markovianity, thereby leading to an efficient escape mechanism. This work, therefore, provides a much needed theoretical approach for incorporating resetting into complex chemical and biological processes, which follow non-Markovian dynamics. |
| title | Resetting Induces Memory Loss in Non-Markovian Processes |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2509.11608 |