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We develop a Schwinger-Keldysh effective field theory describing the hydrodynamics of a fluid with conserved charge and dipole moments, together with conserved momentum. The resulting hydrodynamic modes are highly unusual, including sound…

High Energy Physics - Theory · Physics 2023-05-24 Paolo Glorioso , Xiaoyang Huang , Jinkang Guo , Joaquin F. Rodriguez-Nieva , Andrew Lucas

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…

Nuclear Theory · Physics 2013-04-12 Koichi Murase , Tetsufumi Hirano

In the Second Order Theories (SOT) of real relativistic fluids, the non-ideal properties of the flows are described by a new set of dynamical tensor variables. In this work we explore the non-linear dynamics of those variables in a…

High Energy Physics - Theory · Physics 2020-07-14 Nahuel Mirón-Granese , Alejandra Kandus , Esteban Calzetta

In this work, it has been indicated that the key features requisite for preserving causality and stability of the popularly existing relativistic hydrodynamic theories, can be translated into each other. It has been shown here, that a…

Nuclear Theory · Physics 2024-08-29 Sayantani Bhattacharyya , Sukanya Mitra , Shuvayu Roy

The causality and stability of a relativistic hydrodynamic theory is shown to require a consensus between, either (i) newer degrees of freedom apart from the fundamental fluid fields, or (ii) a general hydrodynamic frame other than the…

Nuclear Theory · Physics 2025-08-25 Sukanya Mitra

By combining the two-particle-irreducible (2PI) effective action common in non-equilibrium quantum field theory with the classical Martin-Siggia-Rose formalism, self-consistent equations of motion for the first and second cumulants of…

Disordered Systems and Neural Networks · Physics 2022-05-31 Tim Bode

Hydrodynamic noise is the Gaussian process that emerges at larges scales of space and time in many-body systems. It is justified by the central limit theorem, and represents degrees of freedom forgotten when projecting coarse-grained…

Statistical Mechanics · Physics 2026-04-15 Benjamin Doyon

We argue that entropy production in hydrodynamics can be understood via a superspace inflow mechanism. Our arguments are based on a recently developed formalism for constructing effective actions for Schwinger-Keldysh observables in quantum…

High Energy Physics - Theory · Physics 2018-08-08 Felix M. Haehl , R. Loganayagam , Mukund Rangamani

The fluctuation-dissipation theorem, in the Kubo original formulation, is based on the decomposition of the thermal agitation forces into a dissipative contribution and a stochastically fluctuating term. This decomposition can be avoided by…

Statistical Mechanics · Physics 2023-02-24 Massimiliano Giona , Davide Cocco , Giuseppe Procopio , Andrea Cairoli , Rainer Klages

We present an effective field theory for the nonlinear fluctuating hydrodynamics of a single conserved charge with or without time-reversal symmetry, based on the Martin-Siggia-Rose formalism. Applying this formalism to fluids with only…

Statistical Mechanics · Physics 2022-10-19 Jinkang Guo , Paolo Glorioso , Andrew Lucas

The random forced Navier-Stokes equation can be obtained as a variational problem of a proper action. In virtue of incompressibility, the integration over transverse components of the fields allows to cast the action in the form of a large…

Fluid Dynamics · Physics 2007-05-23 R. Collina , R. Livi , A. Mazzino

Standard quantum mechanics relies on two distinct dynamical principles: unitary evolution and collapse. A mathematically self-contained variational framework is presented that replaces this dualism with a single principle, in which…

Quantum Physics · Physics 2026-03-18 Lance H. Carter

The recently proposed connection between the Lorentz invariance of stability and the speed of signal propagation has been tested for a first-order relativistic dissipative hydrodynamic theory. The fact that the stability situation in…

Nuclear Theory · Physics 2023-02-15 Rajesh Biswas , Sukanya Mitra , Victor Roy

We derive a first-order, stable and causal, relativistic hydrodynamic theory from the microscopic kinetic equation using the gradient expansion technique in a general frame. The general frame is introduced from the arbitrary matching…

Nuclear Theory · Physics 2022-07-27 Rajesh Biswas , Sukanya Mitra , Victor Roy

First-order relativistic conformal hydrodynamics in a general (hydrodynamic) frame is characterized by a shear viscosity coefficient and two UV-regulator parameters. Within a certain range of these parameters, the equilibrium is stable and…

High Energy Physics - Theory · Physics 2023-12-12 Navid Abbasi , Ali Davody , Sara Tahery

Active matter concerns many-body systems comprised of living or self-driven agents that collectively exhibit macroscopic phenomena distinct from conventional passive matter. Using Schwinger-Keldysh effective field theory, we develop a novel…

Soft Condensed Matter · Physics 2025-11-07 Jay Armas , Akash Jain , Ruben Lier

We show that it is possible to define a timelike future-directed information current within relativistic first-order hydrodynamics. This constitutes the first step toward a covariantly stable and causal formulation of first-order…

Nuclear Theory · Physics 2024-04-18 Lorenzo Gavassino , Nick Abboud , Enrico Speranza , Jorge Noronha

Viscous corrections to relativistic hydrodynamics, which are usually formulated for small velocity g radients, have recently been extended from Navier-Stokes formulations to a class of treatments based on Israel-Stewart equations.…

Nuclear Theory · Physics 2008-11-26 Scott Pratt

We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look for the minimal structure of such a theory which satisfies the covariance and causality by introducing the memory effect in irreversible…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Koide , G. S. Denicol , Ph. Mota , T. Kodama

The hydro-kinetic formalism has been used as a complementary approach to solving the Stochastic Differential Equations (SDE) corresponding to noisy hydrodynamics. The hydro-kinetic formalism consists of a deterministic set of relaxation…

Nuclear Theory · Physics 2022-11-22 Aritra De , Chun Shen , Joseph I. Kapusta