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The theory of fluctuating hydrodynamics has been an important tool for analyzing macroscopic behavior in nonlinear lattices.
1908
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2002
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2003
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W. Evans, J. Fish, and P. Keblinski, “Role of Brownian motion hydrodynamics on nanofluid thermal conductivity,” Applied Physics Letters 88
2006
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J. M. Ortiz de Zarate and J. V. Sengers, Hydrodynamic Fluctuations in Fluids and Fluid Mixtures (Elsevier, 2006)
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H. Grabert, Projection Operator Techniques in Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 2006)
2006
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Giada Basile, Cédric Bernardin, and Stefano Olla, “Momentum Conserving Model with Anomalous Thermal Conductivity in Low Dimensional Systems,” Phys. Rev. Lett. 96
2006
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A. Dhar, “Heat transport in low-dimensional systems,” Advances in Physics 57
2008
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V. Lee, C.-H. Wu, Z.-X. Lou, W.-L. Lee, and C-W. Chang, “Divergent and Ultrahigh Thermal Conductivity in Millimeter-Long Nanotubes,” Phys. Rev. Lett. 118
2017
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S. Tamaki, M. Sasada, and K. Saito, “Heat Transport via Low-Dimensional Systems with Broken Time-Reversal Symmetry,” Phys. Rev. Lett. 119
2017
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J. De Nardis, D. Bernard, and B. Doyon, “Hydrodynamic Diffusion in Integrable Systems,” Phys. Rev. Lett. 121
2018
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H. Spohn, “Interacting and noninteracting integrable systems,” Journal of Mathematical Physics 59
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M. Schemmer, I. Bouchoule, B. Doyon, and J. Dubail, “Generalized Hydrodynamics on an Atom Chip,” Phys. Rev. Lett. 122
2019
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C. W. Chang, D. Okawa, H. Garcia, A. Majumdar, and A. Zettl, “Breakdown of Fourier’s Law in Nanotube Thermal Conductors,” Phys. Rev. Lett. 101
2008
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H. van Beijeren, “Exact Results for Anomalous Transport in One-Dimensional Hamiltonian Systems,” Phys. Rev. Lett. 108
2012
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R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II: Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 2012)
2012
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H. Spohn, “Nonlinear Fluctuating Hydrodynamics for Anharmonic Chains,” J. Stat. Phys. 154
2014
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S. G. Das, A. Dhar, K. Saito, C. B. Mendl, and H. Spohn, “Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain,” Phys. Rev. E 90
2014
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S.-i. Sasa, “Derivation of hydrodynamics from the hamiltonian description of particle systems,” Phys. Rev. Lett. 112
2014
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M. Kulkarni, D. A. Huse, and H. Spohn, “Fluctuating hydrodynamics for a discrete Gross-Pitaevskii equation: Mapping onto the Kardar-Parisi-Zhang universality class,” Phys. Rev. A 92
2015
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A. Dhar D. A. Huse M. Kulkarni C. B. Mendl A. Das, K. Damle and H. Spohn, “Nonlinear fluctuating hydrodynamics for the classical XXZ spin chain,” J. Stat. Phys. , https://doi.org/10.1007/s10955–019–02397–y (2019)
2019
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A. Das, M. Kulkarni, H. Spohn, and A. Dhar, “Kardar-Parisi-Zhang scaling for an integrable lattice Landau-Lifshitz spin chain,” Phys. Rev. E 100
2019
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M. Ljubotina, M. Žnidarič, and T. Prosen, “Kardar-Parisi-Zhang Physics in the Quantum Heisenberg Magnet,” Phys. Rev. Lett. 122
2019
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J. De Nardis, D. Bernard, and B. Doyon, “Diffusion in generalized hydrodynamics and quasiparticle scattering,” SciPost Phys. 6
2019
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A. Miron, J. Cividini, A. Kundu, and D. Mukamel, “Derivation of fluctuating hydrodynamics and crossover from diffusive to anomalous transport in a hard-particle gas,” Phys. Rev. E 99
2019
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P. Ruggiero, P. Calabrese, B. Doyon, and J. Dubail, “Quantum Generalized Hydrodynamics,” Phys. Rev. Lett. 124
2020
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Stefano Lepri, Roberto Livi, and Antonio Politi, “Too close to integrable: Crossover from normal to anomalous heat diffusion,” Phys. Rev. Lett. 125
2020
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F. Weiner, P. Schmitteckert, S. Bera, and F. Evers, “High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging Kardar-Parisi-Zhang scaling in the zero-magnetization limit,” Phys. Rev. B 101
2020
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S. Tamaki and K. Saito, “Energy current correlation in solvable long-range interacting systems,” Phys. Rev. E 101
2020
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