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Abstract
The large proper-time behaviour of expanding boost-invariant fluids has provided many crucial insights into quark-gluon plasma dynamics. Here we formulate and explore the late-time behaviour of nonequilibrium dynamics at the level of linearized perturbations of equilibrium, but without any special symmetry assumptions. We introduce a useful quantitative approximation scheme in which hydrodynamic modes appear as perturbative contributions while transients are nonperturbative. In this way, solutions are naturally organized into transseries as they are in the case of boost-invariant flows. We focus our attention on the ubiquitous telegrapher's equation, the simplest example of a causal theory with a hydrodynamic sector. In position space we uncover novel transient contributions as well as Stokes phenomena which change the structure of the transseries based on the spacetime region or the choice of initial data.
Keywords
Holography and condensed matter physics (AdS, CMT), Holography and quark-gluon plasmas, KINETIC-THEORY, HYDRODYNAMICS, CORRELATORS, COLLISIONS

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MLA
Heller, Michal, et al. “Transseries for Causal Diffusive Systems.” JOURNAL OF HIGH ENERGY PHYSICS, no. 4, 2021, doi:10.1007/JHEP04(2021)192.
APA
Heller, M., Serantes, A., Spalinski, M., Svensson, V., & Withers, B. (2021). Transseries for causal diffusive systems. JOURNAL OF HIGH ENERGY PHYSICS, (4). https://doi.org/10.1007/JHEP04(2021)192
Chicago author-date
Heller, Michal, Alexandre Serantes, Michal Spalinski, Viktor Svensson, and Benjamin Withers. 2021. “Transseries for Causal Diffusive Systems.” JOURNAL OF HIGH ENERGY PHYSICS, no. 4. https://doi.org/10.1007/JHEP04(2021)192.
Chicago author-date (all authors)
Heller, Michal, Alexandre Serantes, Michal Spalinski, Viktor Svensson, and Benjamin Withers. 2021. “Transseries for Causal Diffusive Systems.” JOURNAL OF HIGH ENERGY PHYSICS (4). doi:10.1007/JHEP04(2021)192.
Vancouver
1.
Heller M, Serantes A, Spalinski M, Svensson V, Withers B. Transseries for causal diffusive systems. JOURNAL OF HIGH ENERGY PHYSICS. 2021;(4).
IEEE
[1]
M. Heller, A. Serantes, M. Spalinski, V. Svensson, and B. Withers, “Transseries for causal diffusive systems,” JOURNAL OF HIGH ENERGY PHYSICS, no. 4, 2021.
@article{8748334,
  abstract     = {{The large proper-time behaviour of expanding boost-invariant fluids has provided many crucial insights into quark-gluon plasma dynamics. Here we formulate and explore the late-time behaviour of nonequilibrium dynamics at the level of linearized perturbations of equilibrium, but without any special symmetry assumptions. We introduce a useful quantitative approximation scheme in which hydrodynamic modes appear as perturbative contributions while transients are nonperturbative. In this way, solutions are naturally organized into transseries as they are in the case of boost-invariant flows. We focus our attention on the ubiquitous telegrapher's equation, the simplest example of a causal theory with a hydrodynamic sector. In position space we uncover novel transient contributions as well as Stokes phenomena which change the structure of the transseries based on the spacetime region or the choice of initial data.}},
  articleno    = {{192}},
  author       = {{Heller, Michal and Serantes, Alexandre and Spalinski, Michal and Svensson, Viktor and Withers, Benjamin}},
  issn         = {{1029-8479}},
  journal      = {{JOURNAL OF HIGH ENERGY PHYSICS}},
  keywords     = {{Holography and condensed matter physics (AdS,CMT),Holography and quark-gluon plasmas,KINETIC-THEORY,HYDRODYNAMICS,CORRELATORS,COLLISIONS}},
  language     = {{eng}},
  number       = {{4}},
  title        = {{Transseries for causal diffusive systems}},
  url          = {{http://doi.org/10.1007/JHEP04(2021)192}},
  year         = {{2021}},
}

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