Critical dynamics of relativistic diffusion
We study the dynamics of self-interacting scalar fields with Z2 symmetry governed by a relativistic Israel-Stuart type diffusion equation in the vicinity of a critical point. We calculate spectral functions of the order parameter in mean-field approximation as well as using first-principles classica...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322002954 |
| _version_ | 1811257403789803520 |
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| author | Dominik Schweitzer Sören Schlichting Lorenz von Smekal |
| author_facet | Dominik Schweitzer Sören Schlichting Lorenz von Smekal |
| author_sort | Dominik Schweitzer |
| collection | DOAJ |
| description | We study the dynamics of self-interacting scalar fields with Z2 symmetry governed by a relativistic Israel-Stuart type diffusion equation in the vicinity of a critical point. We calculate spectral functions of the order parameter in mean-field approximation as well as using first-principles classical-statistical lattice simulations in real-time. We observe that the spectral functions are well-described by single Breit-Wigner shapes. Away from criticality, the dispersion matches the expectations from the mean-field approach. At the critical point, the spectral functions largely keep their Breit-Wigner shape, albeit with non-trivial power-law dispersion relations. We extract the characteristic time-scales as well as the dynamic critical exponent z, verifying the existence of a dynamic scaling regime. In addition, we derive the universal scaling functions implied by the Breit-Wigner shape with critical power-law dispersion and show that they match the data. Considering equations of motion for a system coupled to a heat bath as well as an isolated system, we perform this study for two different dynamic universality classes, both in two and three spatial dimensions. |
| first_indexed | 2024-04-12T17:56:55Z |
| format | Article |
| id | doaj.art-bc2f4ece3b0c421ab9573b123a6b02f4 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-12T17:56:55Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-bc2f4ece3b0c421ab9573b123a6b02f42022-12-22T03:22:19ZengElsevierNuclear Physics B0550-32132022-11-01984115944Critical dynamics of relativistic diffusionDominik Schweitzer0Sören Schlichting1Lorenz von Smekal2Institut für Theoretische Physik, Justus-Liebig-Universität, Heinrich-Buff-Ring 16, 35392 Gießen, Germany; Corresponding author.Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, GermanyInstitut für Theoretische Physik, Justus-Liebig-Universität, Heinrich-Buff-Ring 16, 35392 Gießen, Germany; Helmholtz Research Academy Hessen for FAIR (HFHF), Campus Gießen, 35392 Gießen, GermanyWe study the dynamics of self-interacting scalar fields with Z2 symmetry governed by a relativistic Israel-Stuart type diffusion equation in the vicinity of a critical point. We calculate spectral functions of the order parameter in mean-field approximation as well as using first-principles classical-statistical lattice simulations in real-time. We observe that the spectral functions are well-described by single Breit-Wigner shapes. Away from criticality, the dispersion matches the expectations from the mean-field approach. At the critical point, the spectral functions largely keep their Breit-Wigner shape, albeit with non-trivial power-law dispersion relations. We extract the characteristic time-scales as well as the dynamic critical exponent z, verifying the existence of a dynamic scaling regime. In addition, we derive the universal scaling functions implied by the Breit-Wigner shape with critical power-law dispersion and show that they match the data. Considering equations of motion for a system coupled to a heat bath as well as an isolated system, we perform this study for two different dynamic universality classes, both in two and three spatial dimensions.http://www.sciencedirect.com/science/article/pii/S0550321322002954 |
| spellingShingle | Dominik Schweitzer Sören Schlichting Lorenz von Smekal Critical dynamics of relativistic diffusion Nuclear Physics B |
| title | Critical dynamics of relativistic diffusion |
| title_full | Critical dynamics of relativistic diffusion |
| title_fullStr | Critical dynamics of relativistic diffusion |
| title_full_unstemmed | Critical dynamics of relativistic diffusion |
| title_short | Critical dynamics of relativistic diffusion |
| title_sort | critical dynamics of relativistic diffusion |
| url | http://www.sciencedirect.com/science/article/pii/S0550321322002954 |
| work_keys_str_mv | AT dominikschweitzer criticaldynamicsofrelativisticdiffusion AT sorenschlichting criticaldynamicsofrelativisticdiffusion AT lorenzvonsmekal criticaldynamicsofrelativisticdiffusion |