Critical dynamics of the superfluid phase transition in Model F
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908905868623872 |
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| author | Chattopadhyay, Chandrodoy Maguire, Robert Ott, Josh Schaefer, Thomas Skokov, Vladimir V. |
| author_facet | Chattopadhyay, Chandrodoy Maguire, Robert Ott, Josh Schaefer, Thomas Skokov, Vladimir V. |
| contents | We describe numerical simulations of the critical dynamics near the superfluid phase transition. The calculations are based on an implementation of a stochastic hydrodynamic theory known as model F in the classification of Hohenberg and Halperin. This theory is expected to describe dynamic scaling near the lambda transition in liquid $^4$He, Bose-Einstein condensation in ultracold atomic gases, and the superfluid transition in the unitary Fermi gas. Our simulation is based on a Metropolis algorithm previously applied to the critical endpoint of the liquid-gas phase transition in ordinary fluids. In the model E truncation of model F we obtain the expected dynamical exponent $z\simeq 3/2$. We observe the emergence of a propagating second sound mode at the phase transition. The second sound diffusivity $D_s$ is consistent with the scaling relation $D_s\sim ξ^{x_κ}$, where $ξ$ is the correlation length and $x_κ=1/2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21479 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Critical dynamics of the superfluid phase transition in Model F Chattopadhyay, Chandrodoy Maguire, Robert Ott, Josh Schaefer, Thomas Skokov, Vladimir V. Quantum Gases High Energy Physics - Phenomenology Nuclear Theory We describe numerical simulations of the critical dynamics near the superfluid phase transition. The calculations are based on an implementation of a stochastic hydrodynamic theory known as model F in the classification of Hohenberg and Halperin. This theory is expected to describe dynamic scaling near the lambda transition in liquid $^4$He, Bose-Einstein condensation in ultracold atomic gases, and the superfluid transition in the unitary Fermi gas. Our simulation is based on a Metropolis algorithm previously applied to the critical endpoint of the liquid-gas phase transition in ordinary fluids. In the model E truncation of model F we obtain the expected dynamical exponent $z\simeq 3/2$. We observe the emergence of a propagating second sound mode at the phase transition. The second sound diffusivity $D_s$ is consistent with the scaling relation $D_s\sim ξ^{x_κ}$, where $ξ$ is the correlation length and $x_κ=1/2$. |
| title | Critical dynamics of the superfluid phase transition in Model F |
| topic | Quantum Gases High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2603.21479 |