Dance of odd-diffusive particles: A Fourier approach
Odd-diffusive systems are characterized by transverse responses and exhibit unconventional behaviors in interacting systems. To address the dynamical interparticle rearrangements in a minimal system, we here exactly solve the problem of two hard disklike interacting odd-diffusing particles. We calcu...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2024-10-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.043036 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850284401115529216 |
|---|---|
| author | Amelie Langer Abhinav Sharma Ralf Metzler Erik Kalz |
| author_facet | Amelie Langer Abhinav Sharma Ralf Metzler Erik Kalz |
| author_sort | Amelie Langer |
| collection | DOAJ |
| description | Odd-diffusive systems are characterized by transverse responses and exhibit unconventional behaviors in interacting systems. To address the dynamical interparticle rearrangements in a minimal system, we here exactly solve the problem of two hard disklike interacting odd-diffusing particles. We calculate the probability density function (PDF) of the interacting particles in the Fourier-Laplace domain and find that oddness rotates all modes except the zeroth, resembling a mutual rolling of interacting odd particles. We show that only the first Fourier mode of the PDF, the polarization, enters the calculation of the force autocorrelation function (FACF) for generic systems with central-force interactions. An analysis of the polarization as a function of time reveals that the relative rotation angle between interacting particles overshoots before relaxation, thereby rationalizing the recently observed oscillating FACF in odd-diffusive systems [Kalz et al., Phys. Rev. Lett. 132, 057102 (2024)0031-900710.1103/PhysRevLett.132.057102]. |
| format | Article |
| id | doaj-art-af62797bee8449458e8bbbe3ed8780b5 |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-af62797bee8449458e8bbbe3ed8780b52025-08-20T01:47:34ZengAmerican Physical SocietyPhysical Review Research2643-15642024-10-016404303610.1103/PhysRevResearch.6.043036Dance of odd-diffusive particles: A Fourier approachAmelie LangerAbhinav SharmaRalf MetzlerErik KalzOdd-diffusive systems are characterized by transverse responses and exhibit unconventional behaviors in interacting systems. To address the dynamical interparticle rearrangements in a minimal system, we here exactly solve the problem of two hard disklike interacting odd-diffusing particles. We calculate the probability density function (PDF) of the interacting particles in the Fourier-Laplace domain and find that oddness rotates all modes except the zeroth, resembling a mutual rolling of interacting odd particles. We show that only the first Fourier mode of the PDF, the polarization, enters the calculation of the force autocorrelation function (FACF) for generic systems with central-force interactions. An analysis of the polarization as a function of time reveals that the relative rotation angle between interacting particles overshoots before relaxation, thereby rationalizing the recently observed oscillating FACF in odd-diffusive systems [Kalz et al., Phys. Rev. Lett. 132, 057102 (2024)0031-900710.1103/PhysRevLett.132.057102].http://doi.org/10.1103/PhysRevResearch.6.043036 |
| spellingShingle | Amelie Langer Abhinav Sharma Ralf Metzler Erik Kalz Dance of odd-diffusive particles: A Fourier approach Physical Review Research |
| title | Dance of odd-diffusive particles: A Fourier approach |
| title_full | Dance of odd-diffusive particles: A Fourier approach |
| title_fullStr | Dance of odd-diffusive particles: A Fourier approach |
| title_full_unstemmed | Dance of odd-diffusive particles: A Fourier approach |
| title_short | Dance of odd-diffusive particles: A Fourier approach |
| title_sort | dance of odd diffusive particles a fourier approach |
| url | http://doi.org/10.1103/PhysRevResearch.6.043036 |
| work_keys_str_mv | AT amelielanger danceofodddiffusiveparticlesafourierapproach AT abhinavsharma danceofodddiffusiveparticlesafourierapproach AT ralfmetzler danceofodddiffusiveparticlesafourierapproach AT erikkalz danceofodddiffusiveparticlesafourierapproach |