Relativistic hydrodynamic fluctuations from an effective action: causality, stability, and the information current

Xin An, Gokce Basar, Mikhail Stephanov, and Ho-Ung Yee, “Relativistic Hydrodynamic Fluctuations,” Phys. Rev. C 100

Original

1902

Earlier work this paper cites.

Koichi Murase, “Causal hydrodynamic fluctuations in non-static and inhomogeneous backgrounds,” Annals Phys. 411

Original

1904

Earlier work this paper cites.

M. Martinez, T. Schäfer, and V. Skokov, “Critical behavior of the bulk viscosity in QCD,” Phys. Rev. D 100

Original

1906

Earlier work this paper cites.

Pavel Kovtun, “First-order relativistic hydrodynamics is stable,” JHEP 10

Original

1907

Earlier work this paper cites.

Fábio S. Bemfica, Fábio S. Bemfica, Marcelo M. Disconzi, Marcelo M. Disconzi, Jorge Noronha, and Jorge Noronha, “Nonlinear Causality of General First-Order Relativistic Viscous Hydrodynamics,” Phys. Rev. D 100

Original

1907

Earlier work this paper cites.

Krishna Rajagopal, Gregory Ridgway, Ryan Weller, and Yi Yin, “Understanding the out-of-equilibrium dynamics near a critical point in the QCD phase diagram,” Phys. Rev. D 102

Original

1908

Earlier work this paper cites.

Xin An, Gökçe Başar, Mikhail Stephanov, and Ho-Ung Yee, “Fluctuation dynamics in a relativistic fluid with a critical point,” Phys. Rev. C 102

Original

1912

Earlier work this paper cites.

Carl Eckart, “The thermodynamics of irreversible processes. iii. relativistic theory of the simple fluid,” Phys. Rev. 58

1940

Earlier work this paper cites.

Hannes Alfvén, “Existence of electromagnetic-hydrodynamic waves,” Nature 150

1942

Earlier work this paper cites.

Herbert B. Callen and Theodore A. Welton, “Irreversibility and generalized noise,” Phys. Rev. 83

1951

Earlier work this paper cites.

Ryogo Kubo, “Statistical mechanical theory of irreversible processes. 1. General theory and simple applications in magnetic and conduction problems,” J. Phys. Soc. Jap. 12

1957

Earlier work this paper cites.

Paul C. Martin and Julian S. Schwinger, “Theory of many particle systems. 1.” Phys. Rev. 115

1959

Earlier work this paper cites.

Gordon Baym and Leo P. Kadanoff, “Conservation Laws and Correlation Functions,” Phys. Rev. 124

1961

Earlier work this paper cites.

Julian S. Schwinger, “Brownian motion of a quantum oscillator,” J. Math. Phys. 2

1961

Earlier work this paper cites.

L. V. Keldysh, “Diagram technique for nonequilibrium processes,” Zh. Eksp. Teor. Fiz. 47

1964

Earlier work this paper cites.

G. Pichon, “Étude relativiste de fluides visqueux et chargés,” Annales de l’I.H.P. Physique théorique 2

1965

Earlier work this paper cites.

Ingo Müller, “Zum Paradoxon der Wärmeleitungstheorie,” Zeitschrift fur Physik 198

1967

Earlier work this paper cites.

Ronald Forrest Fox and George E. Uhlenbeck, “Contributions to non‐equilibrium thermodynamics. i. theory of hydrodynamical fluctuations,” The Physics of Fluids 13

1970

Earlier work this paper cites.

P. C. Martin, E. D. Siggia, and H. A. Rose, “Statistical Dynamics of Classical Systems,” Phys. Rev. A 8

1973

Earlier work this paper cites.

W. Israel, “Nonstationary irreversible thermodynamics: A causal relativistic theory,” Ann. Phys. 100

1976

Earlier work this paper cites.

W. Israel and J. M. Stewart, “Transient relativistic thermodynamics and kinetic theory,” Ann. Phys. 118

1979

Earlier work this paper cites.

E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics Part II - Volume 9 (Course of Theoretical Physics) (Butterworth-Heinemann, Oxford, UK, 1980)

1980

Earlier work this paper cites.

E.M. LIFSHITZ and L.P. PITAEVSKI, “Chapter i - kinetic theory of gases,” in Physical Kinetics , edited by E.M. LIFSHITZ and L.P. PITAEVSKI (Butterworth-Heinemann, Oxford, 1981) pp. 1–88

1981

Earlier work this paper cites.

William A. Hiscock and Lee Lindblom, “Generic instabilities in first-order dissipative relativistic fluid theories,” Phys. Rev. D 31

1985

Earlier work this paper cites.

L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Second Edition: Volume 6 (Course of Theoretical Physics) , 2nd ed., Course of theoretical physics / by L. D. Landau and E. M. Lifshitz, Vol. 6 (Butterworth-Heinemann, 1987)

1987

Earlier work this paper cites.

A.L. Barabási and H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, 1995)

1995

Earlier work this paper cites.

Jörn Dunkel and Peter Hänggi, “Relativistic Brownian motion,” Phys. Rept. 471

Original

1996

Earlier work this paper cites.

I. Mueller and T. Ruggeri, Rational Extended Thermodynamics (Springer, 1998)

1998

Earlier work this paper cites.

Esteban Calzetta, “Relativistic fluctuating hydrodynamics,” Class. Quant. Grav. 15

1998

Earlier work this paper cites.

Stephen B. Pope, Turbulent Flows (Cambridge University Press, 2000)

2000

Earlier work this paper cites.

D. Jou, J. Casas-Vazsquez, and G. Lebon, Extended Irreversible Thermodynamics , 3rd ed. (Springer, 2001) p. 463

2001

Earlier work this paper cites.

Marcus Bluhm et al. , “Dynamics of critical fluctuations: Theory – phenomenology – heavy-ion collisions,” Nucl. Phys. A 1003

Original

2001

Earlier work this paper cites.

Jean Zinn-Justin, Quantum Field Theory and Critical Phenomena; 4th ed. , International series of monographs on physics (Clarendon Press, Oxford, 2002)

2002

Earlier work this paper cites.

Enke Wang and Ulrich W. Heinz, “A Generalized fluctuation dissipation theorem for nonlinear response functions,” Phys. Rev. D 66

2002

Earlier work this paper cites.

Pavel Kovtun and Laurence G. Yaffe, “Hydrodynamic fluctuations, long time tails, and supersymmetry,” Phys. Rev. D 68

2003

Earlier work this paper cites.

Aritra De, Christopher Plumberg, and Joseph I. Kapusta, “Calculating Fluctuations and Self-Correlations Numerically for Causal Charge Diffusion in Relativistic Heavy-Ion Collisions,” Phys. Rev. C 102

Original

2003

Earlier work this paper cites.

Azumi Sakai, Koichi Murase, and Tetsufumi Hirano, “Rapidity decorrelation of anisotropic flow caused by hydrodynamic fluctuations,” Phys. Rev. C 102

Original

2003

Earlier work this paper cites.

Raphael E. Hoult and Pavel Kovtun, “Stable and causal relativistic Navier-Stokes equations,” JHEP 06

Original

2004

Earlier work this paper cites.

Lipei Du, Ulrich Heinz, Krishna Rajagopal, and Yi Yin, “Fluctuation dynamics near the QCD critical point,” Phys. Rev. C 102

Original

2004

Earlier work this paper cites.

Steven Weinberg, The Quantum theory of fields. Vol. 1: Foundations (Cambridge University Press, 2005)

2005

Cited alongside, same era.

Lorenzo Gavassino, Marco Antonelli, and Brynmor Haskell, “When the entropy has no maximum: a new perspective on the instability of the first-order theories of dissipation,” Phys. Rev. D 102

Original

2006

Cited alongside, same era.

Marlene Nahrgang and Marcus Bluhm, “Modeling the diffusive dynamics of critical fluctuations near the QCD critical point,” Phys. Rev. D 102

Original

2007

Cited alongside, same era.

Travis Dore, Jacquelyn Noronha-Hostler, and Emma McLaughlin, “Far-from-equilibrium search for the QCD critical point,” Phys. Rev. D 102

Original

2007

Cited alongside, same era.

Giorgio Torrieri, “Fluctuating Relativistic hydrodynamics from Crooks theorem,” JHEP 02

Michael Crossley, Paolo Glorioso, and Hong Liu, “Effective field theory of dissipative fluids,” JHEP 09

Original

2017

Later among the works it cites.

Felix M. Haehl, R. Loganayagam, and Mukund Rangamani, “Schwinger-Keldysh formalism. Part I: BRST symmetries and superspace,” JHEP 06

Original

2017

Later among the works it cites.

Paolo Glorioso, Michael Crossley, and Hong Liu, “Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current,” JHEP 09

Original

2017

Later among the works it cites.

F. S. Bemfica, M. M. Disconzi, and J. Noronha, “Causality and existence of solutions of relativistic viscous fluid dynamics with gravity,” Phys. Rev. D98

Original

2018

Later among the works it cites.

Yukinao Akamatsu, Aleksas Mazeliauskas, and Derek Teaney, “Bulk viscosity from hydrodynamic fluctuations with relativistic hydrokinetic theory,” Phys. Rev. C 97