Transseries for causal diffusive systems
arXiv:2011.13864 · doi:10.1007/JHEP04(2021)192
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.
arXiv commentv1: 23 pages + appendices, 16 figures; v2: references added, matches version published in JHEP
References in corpus (64)
- Gauge Theory Correlators from Non-Critical String Theory
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Nonlinear Fluid Dynamics from Gravity
- Heavy Ion Collisions: The Big Picture, and the Big Questions
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- New Developments in Relativistic Viscous Hydrodynamics
- New theories of relativistic hydrodynamics in the LHC era
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- Hydrodynamic gradient expansion in gauge theory plasmas
- A Primer on Resurgent Transseries and Their Asymptotics
- Momentum dissipation and effective theories of coherent and incoherent transport
- An Introduction to Resurgence, Trans-Series and Alien Calculus
- Entropy Current in Conformal Hydrodynamics
- Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
- Holographic Operator Mixing and Quasinormal Modes on the Brane
- The complex life of hydrodynamic modes
- A holographic view on physics out of equilibrium
- Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
- On the convergence of the gradient expansion in hydrodynamics
- Holography and hydrodynamics with weakly broken symmetries
- Gapped momentum states
- What attracts to attractors?
- Theory of hydrodynamic transport in fluctuating electronic charge density wave states
- An upper bound on transport
- From strong to weak coupling in holographic models of thermalization
- Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
- Retarded Correlators in Kinetic Theory: Branch Cuts, Poles and Hydrodynamic Onset Transitions
- Resurgence in Extended Hydrodynamics
- Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
- Coupling hydrodynamics to nonequilibrium degrees of freedom in strongly interacting quark-gluon plasma
- Generalized global symmetries and holography
- Hydrodynamics, resurgence and trans-asymptotics
- Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
- Generalised global symmetries in holography: magnetohydrodynamic waves in a strongly interacting plasma
- How does relativistic kinetic theory remember about initial conditions?
- Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
- Anomalous Magneto Response and the Stückelberg Axion in Holography
- Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres
- Short-lived modes from hydrodynamic dispersion relations
- Holographic zero sound at finite temperature
- Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
- Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
- The Power of Perturbation Theory
- Quasinormal modes in charged fluids at complex momentum
- Resurgent Extrapolation: Rebuilding a Function from Asymptotic Data. Painleve I
- Hydrodynamic theory of quantum fluctuating superconductivity
- Gradient expansion for anisotropic hydrodynamics
- Slow relaxation and diffusion in holographic quantum critical phases
- The large proper-time expansion of Yang-Mills plasma as a resurgent transseries
- Universal Bounds on Transport in Holographic Systems with Broken Translations
- Collective Modes of Chiral Kinetic Theory in Magnetic Field
- All Order Linearized Hydrodynamics from Fluid/Gravity Correspondence
- Origin of the Drude peak and of zero sound in probe brane holography
- Hydrodynamization in systems with detailed transverse profiles
- Low frequency propagating shear waves in holographic liquids
- Maxwell interpolation and close similarities between liquids and holographic models
- Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
- Holographic Plasmon Relaxation with and without Broken Translations
- Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons
- How small hydrodynamics can go
- Field Theory of Dissipative Systems with Gapped Momentum States
- Exotic Holographic Dispersion
- Hydrodynamic Modes of a holographic wave superfluid
- Transverse Collective Modes in Interacting Holographic Plasmas
Cited by in corpus (6)
- Rigorous bounds on transport from causality
- Hydrodynamic gradient expansion in linear response theory
- Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
- Shear Viscosity at Infinite Coupling: A Field Theory Calculation
- Critical behaviour of hydrodynamic series
- Reconstruction of spectra and an algorithm based on the theorems of Darboux and Puiseux