Universal non-equilibrium scaling of cumulants across a critical point
We study the critical dynamics of a scalar field theory with Z2 symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the non-equilibrium behavior of the system under a quench protocol in wh...
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| Language: | English |
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Elsevier
2025-02-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325000185 |
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| author | Leon J. Sieke Mattis Harhoff Sören Schlichting Lorenz von Smekal |
| author_facet | Leon J. Sieke Mattis Harhoff Sören Schlichting Lorenz von Smekal |
| author_sort | Leon J. Sieke |
| collection | DOAJ |
| description | We study the critical dynamics of a scalar field theory with Z2 symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the non-equilibrium behavior of the system under a quench protocol in which the symmetry-breaking external field is changed at a constant rate through the critical point. Using the well-established Kibble-Zurek scaling theory we compute non-equilibrium scaling functions of cumulants of the order parameter up to fourth order. Together with the static critical exponents and the dynamic critical exponent, these fully describe the universal non-equilibrium evolution of the system near the critical point. We further extend the analysis to include finite-size effects and observe good collapse of our data onto two-dimensional universal non-equilibrium and finite-size scaling functions. |
| format | Article |
| id | doaj-art-22cbb4cd313343af9ff7fc7304a017bd |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-22cbb4cd313343af9ff7fc7304a017bd2025-01-26T05:03:26ZengElsevierNuclear Physics B0550-32132025-02-011011116808Universal non-equilibrium scaling of cumulants across a critical pointLeon J. Sieke0Mattis Harhoff1Sören Schlichting2Lorenz von Smekal3Institut für Theoretische Physik, Justus-Liebig-Universität, Heinrich-Buff-Ring 16, 35392 Gießen, Germany; Corresponding author.Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, GermanyFakultät für Physik, Universität Bielefeld, 33615 Bielefeld, GermanyInstitut für Theoretische Physik, Justus-Liebig-Universität, Heinrich-Buff-Ring 16, 35392 Gießen, Germany; Helmholtz Forschungsakademie Hessen für FAIR (HFHF), Campus Gießen, 35392 Gießen, GermanyWe study the critical dynamics of a scalar field theory with Z2 symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the non-equilibrium behavior of the system under a quench protocol in which the symmetry-breaking external field is changed at a constant rate through the critical point. Using the well-established Kibble-Zurek scaling theory we compute non-equilibrium scaling functions of cumulants of the order parameter up to fourth order. Together with the static critical exponents and the dynamic critical exponent, these fully describe the universal non-equilibrium evolution of the system near the critical point. We further extend the analysis to include finite-size effects and observe good collapse of our data onto two-dimensional universal non-equilibrium and finite-size scaling functions.http://www.sciencedirect.com/science/article/pii/S0550321325000185Dynamic critical phenomenaNon-equilibrium phase transitionsClassical-statistical simulations |
| spellingShingle | Leon J. Sieke Mattis Harhoff Sören Schlichting Lorenz von Smekal Universal non-equilibrium scaling of cumulants across a critical point Nuclear Physics B Dynamic critical phenomena Non-equilibrium phase transitions Classical-statistical simulations |
| title | Universal non-equilibrium scaling of cumulants across a critical point |
| title_full | Universal non-equilibrium scaling of cumulants across a critical point |
| title_fullStr | Universal non-equilibrium scaling of cumulants across a critical point |
| title_full_unstemmed | Universal non-equilibrium scaling of cumulants across a critical point |
| title_short | Universal non-equilibrium scaling of cumulants across a critical point |
| title_sort | universal non equilibrium scaling of cumulants across a critical point |
| topic | Dynamic critical phenomena Non-equilibrium phase transitions Classical-statistical simulations |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325000185 |
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