The Flux Hypothesis for Odd Transport Phenomena
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929343522930688 |
|---|---|
| author | Hargus, Cory Deshpande, Alhad Omar, Ahmad K. Mandadapu, Kranthi K. |
| author_facet | Hargus, Cory Deshpande, Alhad Omar, Ahmad K. Mandadapu, Kranthi K. |
| contents | Onsager's regression hypothesis makes a fundamental connection between macroscopic transport phenomena and the average relaxation of spontaneous microscopic fluctuations. This relaxation, however, is agnostic to odd transport phenomena, in which fluxes run orthogonal to the gradients driving them. To account for odd transport, we generalize the regression hypothesis, postulating that macroscopic linear constitutive laws are, on average, obeyed by microscopic fluctuations, whether they contribute to relaxation or not. From this "flux hypothesis," Green-Kubo and reciprocal relations follow, elucidating the separate roles of broken time-reversal and parity symmetries underlying various odd transport coefficients. As an application, we derive and verify the Green-Kubo relation for odd collective diffusion in chiral active matter, first in an analytically-tractable model and subsequently through molecular dynamics simulations of concentrated active spinners. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08798 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Flux Hypothesis for Odd Transport Phenomena Hargus, Cory Deshpande, Alhad Omar, Ahmad K. Mandadapu, Kranthi K. Statistical Mechanics Soft Condensed Matter Chemical Physics Onsager's regression hypothesis makes a fundamental connection between macroscopic transport phenomena and the average relaxation of spontaneous microscopic fluctuations. This relaxation, however, is agnostic to odd transport phenomena, in which fluxes run orthogonal to the gradients driving them. To account for odd transport, we generalize the regression hypothesis, postulating that macroscopic linear constitutive laws are, on average, obeyed by microscopic fluctuations, whether they contribute to relaxation or not. From this "flux hypothesis," Green-Kubo and reciprocal relations follow, elucidating the separate roles of broken time-reversal and parity symmetries underlying various odd transport coefficients. As an application, we derive and verify the Green-Kubo relation for odd collective diffusion in chiral active matter, first in an analytically-tractable model and subsequently through molecular dynamics simulations of concentrated active spinners. |
| title | The Flux Hypothesis for Odd Transport Phenomena |
| topic | Statistical Mechanics Soft Condensed Matter Chemical Physics |
| url | https://arxiv.org/abs/2405.08798 |