Nonlinear Fluctuating Hydrodynamics for Anharmonic Chains

By Herbert Spohn. Journal of statistical physics, 2013

398 citations recorded by the source corpus.

With focus on anharmonic chains, we develop a nonlinear version of fluctuating hydrodynamics, in which the Euler currents are kept to second order in the deviations from equilibrium and dissipation plus noise are added. The required model-dependent parameters are written in such a way that they can be computed numerically within seconds, once the interaction potential, pressure, and temperature are given. In principle the theory is applicable to any one-dimensional system with local conservation laws. The resulting nonlinear stochastic field theory is handled in the one-loop approximation. Some of the large scale predictions can still be worked out analytically. For more details one has to rely on numerical simulations of the corresponding mode-coupling equations. In this way we arrive at detailed predictions for the equilibrium time correlations of the locally conserved fields of an anharmonic chain.

Subfields: Computational Mechanics, Mechanics of Materials, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dfd84ef277054dcce25a9139556088fe35563986

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In Computational Mechanics

In Mechanics of Materials

In Statistical and Nonlinear Physics

Citations in the corpus

Lecture notes on Generalised Hydrodynamics (2019, background): “See for instance the discussion in [135].”
Conformal field theory out of equilibrium: a review (2016, background): “It can also be used to argue for the way the shocks spread due to the microcsopic effects of band curvature (represented by the interaction), and the way the steady state is approached, in the spirit of fluctuating hydrodynamics [97].”
L\'evy walks (2014, background): “Das et al. (2014) and Mendl and Spohn (2014) have found for FPU chains and the hardpoint gas, a Lévy scaling for the correlator of their energy modes (see Fig.”