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Theoretical estimates of the critical exponents of the superfluid transition inHe4by lattice methods
Open accessAbstract
We improve the theoretical estimates of the critical exponents for the three-dimensional $XY$ universality class that apply to the superfluid transition in $^{4}\mathrm{He}$ along the $\ensuremath{\lambda}$ line of its phase diagram. We obtain the estimates $\ensuremath{\alpha}=\ensuremath{-}0.0151(3)$, $\ensuremath{\nu}=0.6717(1)$, $\ensuremath{\eta}=0.0381(2)$, $\ensuremath{\gamma}=1.3178(2)$, $\ensuremath{\beta}=0.3486(1)$, and $\ensuremath{\delta}=4.780(1)$. Our results are obtained by finite-size scaling analyses of high-statistics Monte Carlo simulations up to lattice size $L=128$ and resummations of 22nd-order high-temperature expansions of two improved models with suppressed leading scaling corrections. We note that our result for the specific-heat exponent $\ensuremath{\alpha}$ disagrees with the most recent experimental estimate $\ensuremath{\alpha}=\ensuremath{-}0.0127(3)$ at the superfluid transition of $^{4}\mathrm{He}$ in a microgravity environment.
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The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Nearly perfect fluidity: from cold atomic gases to hot quark gluon plasmas
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Metadata
- Authors
- Campostrini, M., Hasenbusch, M., Pelissetto, A., & Vicari, E.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2006-10-06
- Volume
- 74
- Issue
- 14
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1653807035
- Cited by
- 270
- References
- 25
- FWCI
- 10.10
- Type
- journal article
- Language
- en
- Open access
- green
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