A framework for the direct evaluation of large deviations in non-Markovian processes
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arXiv
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| Format: | Preprint |
| Published: |
2016
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| _version_ | 1866912989418881024 |
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| author | Cavallaro, Massimo Harris, Rosemary J. |
| author_facet | Cavallaro, Massimo Harris, Rosemary J. |
| contents | We propose a general framework to simulate stochastic trajectories with arbitrarily long memory dependence and efficiently evaluate large deviation functions associated to time-extensive observables. This extends the "cloning" procedure of Giardiná et al. [Phys. Rev. Lett. 96, 120603 (2006)] to non-Markovian systems. We demonstrate the validity of this method by testing non-Markovian variants of an ion-channel model and the Totally Asymmetric Exclusion Process, recovering results obtainable by other means. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1603_05634 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | A framework for the direct evaluation of large deviations in non-Markovian processes Cavallaro, Massimo Harris, Rosemary J. Statistical Mechanics We propose a general framework to simulate stochastic trajectories with arbitrarily long memory dependence and efficiently evaluate large deviation functions associated to time-extensive observables. This extends the "cloning" procedure of Giardiná et al. [Phys. Rev. Lett. 96, 120603 (2006)] to non-Markovian systems. We demonstrate the validity of this method by testing non-Markovian variants of an ion-channel model and the Totally Asymmetric Exclusion Process, recovering results obtainable by other means. |
| title | A framework for the direct evaluation of large deviations in non-Markovian processes |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/1603.05634 |