Relativistic fluctuating hydrodynamics with memory functions and colored noises
arXiv:1304.3243
Abstract
Relativistic dissipative hydrodynamics including hydrodynamic fluctuations is formulated by putting an emphasis on non-linearity and causality. As a consequence of causality, dissipative currents become dynamical variables and noises appeared in an integral form of constitutive equations should be colored ones from fluctuation-dissipation relations. Nevertheless noises turn out to be white ones in its differential form when noises are assumed to be Gaussian. The obtained ifferential equations are very useful in numerical implementation of relativistic fluctuating hydrodynamics.
5 pages
Cited by in corpus (15)
- Properties of hot and dense matter from relativistic heavy ion collisions
- Fluid Dynamics and Viscosity in Strongly Correlated Fluids
- Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
- Hydrodynamic fluctuations and dissipation in an integrated dynamical model
- Freezing Out Fluctuations in Hydro+ Near the QCD Critical Point
- Holographic Heavy-Ion Collisions: Analytic Solutions with Longitudinal Flow, Elliptic Flow and Vorticity
- Hydrodynamical noise and Gubser flow
- The QCD Critical Point and Related Observables
- Hydrodynamic fluctuations of entropy in one-dimensionally expanding system
- Dynamics of critical fluctuations: Theory -- phenomenology -- heavy-ion collisions
- Fluctuations in Relativistic Causal Hydrodynamics
- The QCD critical point hunt: emergent new ideas and new dynamics
- Causal hydrodynamic fluctuation in Bjorken expansion
- Exploring the properties of the phases of QCD matter - research opportunities and priorities for the next decade
- Multiplicity fluctuation from hydrodynamic noise