DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Theory of Nonlinear Diffusion with a Physical Gapped Mode

Journal Article · · Physical Review Letters

In a system with one conserved charge the charge diffusion is modified by nonlinear self-interactions within an effective field theory (EFT) of diffusive fluctuations. We include the slowest ultraviolet (UV) mode, constructing a UV-regulated EFT. The relaxation time of this UV mode is protected from renormalization, as supported by experimental data in a bad metal system. Furthermore, the retarded density-density Green’s function acquires four branch points, eventually increasing the range of applicability. We discuss the fate of long time tails as well as implications for the quark gluon plasma. Published by the American Physical Society 2024

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0012447
OSTI ID:
2331316
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 132; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (41)

Statistical Dynamics of Classical Systems journal July 1973
Thermalization and chaos in a 1+1d QFT journal February 2023
Decay of the Velocity Autocorrelation Function journal January 1970
Relativistic Fluid Dynamics in and out of Equilibrium book January 2019
Long-time tails in the SYK chain from the effective field theory with a large number of derivatives journal April 2022
Nonstationary irreversible thermodynamics: A causal relativistic theory journal September 1976
Heavy operators and hydrodynamic tails journal January 2020
Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow journal June 2019
Zum Paradoxon der W�rmeleitungstheorie journal August 1967
A panoply of Schwinger-Keldysh transport journal January 2018
Adiabatic hydrodynamics: the eightfold way to dissipation journal May 2015
Hydrodynamic Modeling of Heavy-Ion Collisions journal April 2013
Analytic Solution of the Boltzmann Equation in an Expanding System journal January 2016
Non-Gaussian Fluctuations near the QCD Critical Point journal January 2009
Damping of Pseudo-Goldstone Fields journal April 2022
Kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion journal January 2017
Multiplicative noise and the diffusion of conserved densities journal January 2021
Symmetry constraints on generalizations of Bjorken flow journal October 2010
Fluctuation dynamics near the QCD critical point journal November 2020
Stickiness of sound: An absolute lower limit on viscosity and the breakdown of second-order relativistic hydrodynamics journal July 2011
Transient relativistic thermodynamics and kinetic theory journal April 1979
Theory of dynamic critical phenomena journal July 1977
Introduction to hydrodynamics journal October 2015
Hydrodynamic equations and correlation functions journal October 1963
Asymptotic Time Behavior of Correlation Functions journal November 1970
Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics
  • Liu, Hong; Glorioso, Paolo
  • Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017) https://doi.org/10.22323/1.305.0008
conference September 2018
Colloquium : Planckian dissipation in metals journal November 2022
N-particle irreducible actions for stochastic fluids journal June 2023
Effective field theory of dissipative fluids journal September 2017
Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation journal August 2015
Theory of Diffusive Fluctuations journal March 2019
Hydrodynamics with parametric slowing down and fluctuations near the critical point journal August 2018
Hydrodynamic fluctuations, long-time tails, and supersymmetry journal July 2003
Fluctuation bounds on charge and heat diffusion journal June 2015
Signatures of the Tricritical Point in QCD journal November 1998
Generalized fluctuation-dissipation theorem for nonlinear response functions journal July 2002
Stochastic hydrodynamics and long time tails of an expanding conformal charged fluid journal May 2019
Bad metallic transport in a cold atom Fermi-Hubbard system journal December 2018
Lectures on hydrodynamic fluctuations in relativistic theories journal November 2012
Baryon transport and the QCD critical point journal December 2021
Effective field theory for quasicrystals and phasons dynamics journal January 2020