Universal non-equilibrium scaling of cumulants across a critical point
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912120516378624 |
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| author | Sieke, Leon J. Harhoff, Mattis Schlichting, Sören von Smekal, Lorenz |
| author_facet | Sieke, Leon J. Harhoff, Mattis Schlichting, Sören von Smekal, Lorenz |
| contents | We study the critical dynamics of a scalar field theory with $Z_2$ 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 | Preprint |
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arxiv_https___arxiv_org_abs_2411_10266 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal non-equilibrium scaling of cumulants across a critical point Sieke, Leon J. Harhoff, Mattis Schlichting, Sören von Smekal, Lorenz High Energy Physics - Phenomenology We study the critical dynamics of a scalar field theory with $Z_2$ 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. |
| title | Universal non-equilibrium scaling of cumulants across a critical point |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.10266 |