Effective mass approach to memory in non-Markovian systems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913244357066752 |
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| author | Wiśniewski, M. Łuczka, J. Spiechowicz, J. |
| author_facet | Wiśniewski, M. Łuczka, J. Spiechowicz, J. |
| contents | Recent pioneering experiments on non-Markovian dynamics done e.g. for active matter have demonstrated that our theoretical understanding of this challenging yet hot topic is rather incomplete and there is a wealth of phenomena still awaiting discovery. It is related to the fact that typically for simplification the Markovian approximation is employed and as a consequence the memory is neglected. Therefore methods allowing to study memory effects are extremely valuable. We demonstrate that a non-Markovian system described by the Generalized Langevin Equation (GLE) for a Brownian particle of mass $M$ can be approximated by the memoryless Langevin equation in which the memory effects are correctly reproduced solely via the effective mass $M^*$ of the Brownian particle which is determined only by the form of the memory kernel. Our work lays the foundation for an impactful approach which allows to readily study memory-related corrections to Markovian dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16673 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective mass approach to memory in non-Markovian systems Wiśniewski, M. Łuczka, J. Spiechowicz, J. Statistical Mechanics Mesoscale and Nanoscale Physics Soft Condensed Matter Recent pioneering experiments on non-Markovian dynamics done e.g. for active matter have demonstrated that our theoretical understanding of this challenging yet hot topic is rather incomplete and there is a wealth of phenomena still awaiting discovery. It is related to the fact that typically for simplification the Markovian approximation is employed and as a consequence the memory is neglected. Therefore methods allowing to study memory effects are extremely valuable. We demonstrate that a non-Markovian system described by the Generalized Langevin Equation (GLE) for a Brownian particle of mass $M$ can be approximated by the memoryless Langevin equation in which the memory effects are correctly reproduced solely via the effective mass $M^*$ of the Brownian particle which is determined only by the form of the memory kernel. Our work lays the foundation for an impactful approach which allows to readily study memory-related corrections to Markovian dynamics. |
| title | Effective mass approach to memory in non-Markovian systems |
| topic | Statistical Mechanics Mesoscale and Nanoscale Physics Soft Condensed Matter |
| url | https://arxiv.org/abs/2402.16673 |