Monte Carlo generation of localized particle trajectories
dc.contributor.author | Ahumada, I | |
dc.contributor.author | Edwards, JP | |
dc.date.accessioned | 2024-02-05T17:33:47Z | |
dc.date.available | 2024-02-05T17:33:47Z | |
dc.date.issued | 2023-12-19 | |
dc.identifier.issn | 2470-0045 | |
dc.identifier.issn | 2470-0053 | |
dc.identifier.other | 065306 | |
dc.identifier.uri | https://pearl.plymouth.ac.uk/handle/10026.1/22026 | |
dc.description.abstract |
We introduce modifications to Monte Carlo simulations of the Feynman path integral that improve sampling of localized interactions. The algorithms generate trajectories in simple background potentials designed to concentrate them around the interaction region, reminiscent of importance sampling. This improves statistical sampling of the system and overcomes a long-time undersampling problem caused by the spatial diffusion inherent in Brownian motion. We prove the validity of our approach using previous analytic work on the distribution of values of the Wilson line over path integral trajectories and illustrate the improvements on some simple quantum mechanical systems. | |
dc.format.extent | 065306- | |
dc.format.medium | ||
dc.language | en | |
dc.publisher | American Physical Society (APS) | |
dc.subject | 40 Engineering | |
dc.subject | 49 Mathematical Sciences | |
dc.subject | 51 Physical Sciences | |
dc.title | Monte Carlo generation of localized particle trajectories | |
dc.type | journal-article | |
dc.type | Article | |
plymouth.author-url | https://www.ncbi.nlm.nih.gov/pubmed/38243428 | |
plymouth.issue | 6 | |
plymouth.volume | 108 | |
plymouth.publication-status | Published online | |
plymouth.journal | Physical Review E | |
dc.identifier.doi | 10.1103/physreve.108.065306 | |
plymouth.organisational-group | |Plymouth | |
plymouth.organisational-group | |Plymouth|Faculty of Science and Engineering | |
plymouth.organisational-group | |Plymouth|Faculty of Science and Engineering|School of Engineering, Computing and Mathematics | |
plymouth.organisational-group | |Plymouth|REF 2021 Researchers by UoA | |
plymouth.organisational-group | |Plymouth|Users by role | |
plymouth.organisational-group | |Plymouth|Users by role|Academics | |
plymouth.organisational-group | |Plymouth|REF 2021 Researchers by UoA|UoA10 Mathematical Sciences | |
plymouth.organisational-group | |Plymouth|REF 2021 Researchers by UoA|ZZZ Extended UoA 10 - Mathematical Sciences | |
plymouth.organisational-group | |Plymouth|REF 2028 Researchers by UoA | |
plymouth.organisational-group | |Plymouth|REF 2028 Researchers by UoA|UoA10 Mathematical Sciences | |
dc.publisher.place | United States | |
dcterms.dateAccepted | 2023-10-04 | |
dc.date.updated | 2024-02-05T17:33:47Z | |
dc.rights.embargodate | 2024-2-14 | |
dc.identifier.eissn | 2470-0053 | |
rioxxterms.versionofrecord | 10.1103/physreve.108.065306 |