Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model
The dynamical scaling and ageing in the relaxational dynamics of the quenched directed spherical model is analysed. The exact two-time correlation and response functions display new regimes of ballistic or anisotropic ballistic scaling, at larger distances than probed in the usual regime of diffusiv...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323003085 |
| _version_ | 1797526273716649984 |
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| author | Malte Henkel Stoimen Stoimenov |
| author_facet | Malte Henkel Stoimen Stoimenov |
| author_sort | Malte Henkel |
| collection | DOAJ |
| description | The dynamical scaling and ageing in the relaxational dynamics of the quenched directed spherical model is analysed. The exact two-time correlation and response functions display new regimes of ballistic or anisotropic ballistic scaling, at larger distances than probed in the usual regime of diffusive scaling. The role of long-ranged initial correlations on the existence of these scaling regimes is clarified. Their dynamical symmetries are described in terms of extensions of the Schrödinger algebra appropriate to non-equilibrium dynamics in that the anisotropic ballistic scaling regime can be interpreted in terms of meta-Schrödinger invariance while the regime of isotropic ballistic scaling is meta-conformally invariant. |
| first_indexed | 2024-03-10T09:26:54Z |
| format | Article |
| id | doaj.art-b8848948063f4a548652df15b80e298d |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-10T09:26:54Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-b8848948063f4a548652df15b80e298d2023-11-22T04:46:45ZengElsevierNuclear Physics B0550-32132023-12-01997116379Dynamical symmetries in the non-equilibrium dynamics of the directed spherical modelMalte Henkel0Stoimen Stoimenov1Laboratoire de Physique et Chimie Théoriques (CNRS UMR 7019), Université de Lorraine Nancy, B.P. 70239, F – 54506 Vandœuvre lès Nancy Cedex, France; Centro de Física Teórica e Computacional, Universidade de Lisboa, Campo Grande, P–1749-016 Lisboa, Portugal; Corresponding authors.Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko chaussee, Blvd., BG – 1784 Sofia, Bulgaria; Corresponding authors.The dynamical scaling and ageing in the relaxational dynamics of the quenched directed spherical model is analysed. The exact two-time correlation and response functions display new regimes of ballistic or anisotropic ballistic scaling, at larger distances than probed in the usual regime of diffusive scaling. The role of long-ranged initial correlations on the existence of these scaling regimes is clarified. Their dynamical symmetries are described in terms of extensions of the Schrödinger algebra appropriate to non-equilibrium dynamics in that the anisotropic ballistic scaling regime can be interpreted in terms of meta-Schrödinger invariance while the regime of isotropic ballistic scaling is meta-conformally invariant.http://www.sciencedirect.com/science/article/pii/S0550321323003085 |
| spellingShingle | Malte Henkel Stoimen Stoimenov Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model Nuclear Physics B |
| title | Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model |
| title_full | Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model |
| title_fullStr | Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model |
| title_full_unstemmed | Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model |
| title_short | Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model |
| title_sort | dynamical symmetries in the non equilibrium dynamics of the directed spherical model |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323003085 |
| work_keys_str_mv | AT maltehenkel dynamicalsymmetriesinthenonequilibriumdynamicsofthedirectedsphericalmodel AT stoimenstoimenov dynamicalsymmetriesinthenonequilibriumdynamicsofthedirectedsphericalmodel |