First-passage time for superstatistical Fokker-Planck models
The first-passage-time (FPT) problem is studied for superstatistical models assuming that the mesoscopic system dynamics is described by a Fokker-Planck equation. We show that all moments of the random intensive parameter associated to the superstatistical approach can be put in one-to-one correspon...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2018 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/97142 |
| Online Access: | http://hdl.handle.net/11336/97142 |
| Access Level: | Open access |
| Keyword: | First passage times Superstatistics https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Summary: | The first-passage-time (FPT) problem is studied for superstatistical models assuming that the mesoscopic system dynamics is described by a Fokker-Planck equation. We show that all moments of the random intensive parameter associated to the superstatistical approach can be put in one-to-one correspondence with the moments of the FPT. For systems subjected to an additional uncorrelated external force, the same statistical information is obtained from the dependence of the FPT moments on the external force. These results provide an alternative technique for checking the validity of superstatistical models. As an example, we characterize the mean FPT for a forced Brownian particle. |
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