Built on

J. M. Luttinger, Theory of thermal transport coefficients, Phys. Rev. 135
1964
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.
I. D. Schepper, H. V. Beyeren and M. Ernst, The nonexistence of the linear diffusion equation beyond fick’s law, Physica 75
1974
Earlier work this paper cites.
Y. Pomeau and P. Résibois, Time dependent correlation functions and mode-mode coupling theories, Physics Reports 19
1975
Earlier work this paper cites.
D. Forster, D. R. Nelson and M. J. Stephen, Large-distance and long-time properties of a randomly stirred fluid, Phys. Rev. A 16
1977
Earlier work this paper cites.
P. C. Hohenberg and B. I. Halperin, Theory of dynamic critical phenomena, Rev. Mod. Phys. 49
1977
Earlier work this paper cites.
Oxford university press, 1979
J. Crank et al., The mathematics of diffusion · 1979
Earlier work this paper cites.
Academic Press, 1979
G. A. Slack, The thermal conductivity of nonmetallic crystals, vol. 34 of Solid State Physics , pp. 1 – 71 · 1979
Earlier work this paper cites.
M. Kardar, G. Parisi and Y.-C. Zhang, Dynamic scaling of growing interfaces, Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
Cambridge university press Cambridge, 1995
P. M. Chaikin and T. C. Lubensky, Principles of condensed matter physics , vol. 1 · 1995
Earlier work this paper cites.
V. J. Emery and S. A. Kivelson, Superconductivity in bad metals, Phys. Rev. Lett. 74
1995
Earlier work this paper cites.
E. Wang and U. W. Heinz, A Generalized fluctuation dissipation theorem for nonlinear response functions, Phys. Rev. D66
2002
Earlier work this paper cites.
P. Kovtun and L. G. Yaffe, Hydrodynamic fluctuations, long time tails, and supersymmetry, Phys. Rev. D68
2003
Earlier work this paper cites.
O. Gunnarsson, M. Calandra and J. E. Han, Colloquium: Saturation of electrical resistivity, Rev. Mod. Phys. 75
2003
Earlier work this paper cites.
N. E. Hussey, K. Takenaka and H. Takagi, Universality of the Mott-Ioffe-Regel limit in metals, Philosophical Magazine 84
2004
Earlier work this paper cites.

Similar

S. Mukerjee, V. Oganesyan and D. Huse, Statistical theory of transport by strongly interacting lattice fermions, Phys. Rev. B 73
2006
Cited alongside, same era.
A. M. Hofmeister, Thermal diffusivity of oxide perovskite compounds at elevated temperature, Journal of Applied Physics 107
2010
Cited alongside, same era.
P. Kovtun, G. D. Moore and P. Romatschke, The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics, Phys. Rev. D84
Original
2011
Cited alongside, same era.
S. Dubovsky, L. Hui, A. Nicolis and D. T. Son, Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion, Phys. Rev. D85
Original
2012
Cited alongside, same era.
P. Kovtun, Lectures on hydrodynamic fluctuations in relativistic theories, J. Phys. A45
Original

Then

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2018

Theory of diffusive fluctuations

Chen-Lin, Xinyi, Delacrétaz, Luca V., Hartnoll, Sean A.

Understand

The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities.

Specializing to systems with a single conservation law, we find that the diffusive pole is shifted in the presence of non-linear hydrodynamic self-interactions, and that the density-density Green's function acquires a branch point half way to the diffusive pole, at frequency $\omega= -\frac{i}{2}Dk^2$.
We discuss the relevance of diffusive fluctuations for strongly correlated transport in condensed matter and cold atomic systems.

Built on

J. M. Luttinger, Theory of thermal transport coefficients, Phys. Rev. 135
1964
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.
I. D. Schepper, H. V. Beyeren and M. Ernst, The nonexistence of the linear diffusion equation beyond fick’s law, Physica 75
1974
Earlier work this paper cites.
Y. Pomeau and P. Résibois, Time dependent correlation functions and mode-mode coupling theories, Physics Reports 19
1975
Earlier work this paper cites.
D. Forster, D. R. Nelson and M. J. Stephen, Large-distance and long-time properties of a randomly stirred fluid, Phys. Rev. A 16
1977
Earlier work this paper cites.
P. C. Hohenberg and B. I. Halperin, Theory of dynamic critical phenomena, Rev. Mod. Phys. 49
1977
Earlier work this paper cites.
Oxford university press, 1979
J. Crank et al., The mathematics of diffusion · 1979
Earlier work this paper cites.
Academic Press, 1979
G. A. Slack, The thermal conductivity of nonmetallic crystals, vol. 34 of Solid State Physics , pp. 1 – 71 · 1979
Earlier work this paper cites.
M. Kardar, G. Parisi and Y.-C. Zhang, Dynamic scaling of growing interfaces, Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
Cambridge university press Cambridge, 1995
P. M. Chaikin and T. C. Lubensky, Principles of condensed matter physics , vol. 1 · 1995
Earlier work this paper cites.
V. J. Emery and S. A. Kivelson, Superconductivity in bad metals, Phys. Rev. Lett. 74
1995
Earlier work this paper cites.
E. Wang and U. W. Heinz, A Generalized fluctuation dissipation theorem for nonlinear response functions, Phys. Rev. D66
2002
Earlier work this paper cites.
P. Kovtun and L. G. Yaffe, Hydrodynamic fluctuations, long time tails, and supersymmetry, Phys. Rev. D68
2003
Earlier work this paper cites.
O. Gunnarsson, M. Calandra and J. E. Han, Colloquium: Saturation of electrical resistivity, Rev. Mod. Phys. 75
2003
Earlier work this paper cites.
N. E. Hussey, K. Takenaka and H. Takagi, Universality of the Mott-Ioffe-Regel limit in metals, Philosophical Magazine 84
2004
Earlier work this paper cites.

Similar

S. Mukerjee, V. Oganesyan and D. Huse, Statistical theory of transport by strongly interacting lattice fermions, Phys. Rev. B 73
2006
Cited alongside, same era.
A. M. Hofmeister, Thermal diffusivity of oxide perovskite compounds at elevated temperature, Journal of Applied Physics 107
2010
Cited alongside, same era.
P. Kovtun, G. D. Moore and P. Romatschke, The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics, Phys. Rev. D84
Original
2011
Cited alongside, same era.
S. Dubovsky, L. Hui, A. Nicolis and D. T. Son, Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion, Phys. Rev. D85
Original
2012
Cited alongside, same era.
P. Kovtun, Lectures on hydrodynamic fluctuations in relativistic theories, J. Phys. A45
Original

Then

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2012

Cited alongside, same era.

U. Schneider, L. Hackermüller, J. P. Ronzheimer, S. Will, S. Braun, T. Best, I. Bloch, E. Demler, S. Mandt, D. Rasch and A. Rosch, Fermionic transport and out-of-equilibrium dynamics in a homogeneous hubbard model with ultracold atoms, Nature Physics 8

2012

Cited alongside, same era.

S. Endlich, A. Nicolis, R. A. Porto and J. Wang, Dissipation in the effective field theory for hydrodynamics: First order effects, Phys. Rev. D88

Original

2013

Cited alongside, same era.

P. Kovtun, Fluctuation bounds on charge and heat diffusion, J. Phys. A48

Original

2015

Cited alongside, same era.

S. Grozdanov and J. Polonyi, Viscosity and dissipative hydrodynamics from effective field theory, Phys. Rev. D91

Original

2015

Cited alongside, same era.

F. M. Haehl, R. Loganayagam and M. Rangamani, Adiabatic hydrodynamics: The eightfold way to dissipation, JHEP 05

Original

2015

Cited alongside, same era.

M. Crossley, P. Glorioso and H. Liu, Effective field theory of dissipative fluids, JHEP 09

Original

2017

Cited alongside, same era.

J. C. Zhang, E. M. Levenson-Falk, B. J. Ramshaw, D. A. Bonn, R. Liang, W. N. Hardy, S. A. Hartnoll and A. Kapitulnik, Anomalous Thermal Diffusivity in Underdoped YBa 2 Cu 3 O 6+x

Original

2017

Cited alongside, same era.

V. Martelli, J. L. Jiménez, M. Continentino, E. Baggio-Saitovitch and K. Behnia, Thermal transport and phonon hydrodynamics in strontium titanate, Phys. Rev. Lett. 120

2018

Closest in time.

P. T. Brown, D. Mitra, E. Guardado-Sanchez, R. Nourafkan, A. Reymbaut, S. Bergeron, A.-M. S. Tremblay, J. Kokalj, D. A. Huse, P. Schauss and W. S. Bakr, Bad metallic transport in a cold atom Fermi-Hubbard system, ArXiv e-prints, 2018, [ arXiv:1802.09456 [cond-mat.quant-gas] ]

Original

2018

Closest in time.

C. H. Mousatov, I. Esterlis and S. A. Hartnoll, Bad metallic transport in a modified Hubbard model, 2018, [ arXiv:1803.08054 [cond-mat.str-el] ]

Original

2018

Closest in time.

E. W. Huang, R. Sheppard, B. Moritz and T. P. Devereaux, Strange metallicity in the doped Hubbard model, 2018, [ arXiv:1806.08346 [cond-mat.str-el] ]

Original