XY model for cascade transfer
We propose a modified XY model in which cascade transfer emerges from spatially local interactions where the spin corresponds to the “velocity” of a turbulent field. For this model, we theoretically calculate the scale-to-scale energy flux and the equal time correlation function in d dimensions. The...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.L022015 |
| _version_ | 1797210794876731392 |
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| author | Tomohiro Tanogami Shin-ichi Sasa |
| author_facet | Tomohiro Tanogami Shin-ichi Sasa |
| author_sort | Tomohiro Tanogami |
| collection | DOAJ |
| description | We propose a modified XY model in which cascade transfer emerges from spatially local interactions where the spin corresponds to the “velocity” of a turbulent field. For this model, we theoretically calculate the scale-to-scale energy flux and the equal time correlation function in d dimensions. The result indicates an inverse energy cascade with the non-Kolmogorov energy spectrum proportional to k^{−3}. We also numerically confirm the result for the cases of d=2 and d=3. We thus conclude that the cascade transfer in our model represents a different universality class from standard fluid turbulence. |
| first_indexed | 2024-04-24T10:16:16Z |
| format | Article |
| id | doaj.art-77110878c477414fa67ace77bfaa5bbe |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:16:16Z |
| publishDate | 2022-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-77110878c477414fa67ace77bfaa5bbe2024-04-12T17:20:10ZengAmerican Physical SocietyPhysical Review Research2643-15642022-04-0142L02201510.1103/PhysRevResearch.4.L022015XY model for cascade transferTomohiro TanogamiShin-ichi SasaWe propose a modified XY model in which cascade transfer emerges from spatially local interactions where the spin corresponds to the “velocity” of a turbulent field. For this model, we theoretically calculate the scale-to-scale energy flux and the equal time correlation function in d dimensions. The result indicates an inverse energy cascade with the non-Kolmogorov energy spectrum proportional to k^{−3}. We also numerically confirm the result for the cases of d=2 and d=3. We thus conclude that the cascade transfer in our model represents a different universality class from standard fluid turbulence.http://doi.org/10.1103/PhysRevResearch.4.L022015 |
| spellingShingle | Tomohiro Tanogami Shin-ichi Sasa XY model for cascade transfer Physical Review Research |
| title | XY model for cascade transfer |
| title_full | XY model for cascade transfer |
| title_fullStr | XY model for cascade transfer |
| title_full_unstemmed | XY model for cascade transfer |
| title_short | XY model for cascade transfer |
| title_sort | xy model for cascade transfer |
| url | http://doi.org/10.1103/PhysRevResearch.4.L022015 |
| work_keys_str_mv | AT tomohirotanogami xymodelforcascadetransfer AT shinichisasa xymodelforcascadetransfer |