1 code implementation • 22 Nov 2020 • Christian B. Mendl, Herbert Spohn
We study the classical Toda lattice with domain wall initial conditions, for which left and right half lattice are in thermal equilibrium but with distinct parameters of pressure, mean velocity, and temperature.
Statistical Mechanics Exactly Solvable and Integrable Systems
1 code implementation • 15 Dec 2014 • Christian B. Mendl, Herbert Spohn
We study the total current correlations for anharmonic chains in thermal equilibrium, putting forward predictions based on the second moment sum rule and on nonlinear fluctuating hydrodynamics.
Statistical Mechanics Computational Physics
2 code implementations • 2 Mar 2014 • Christian B. Mendl, Herbert Spohn
As recently proposed, the long-time behavior of equilibrium time-correlation functions for one-dimensional systems are expected to be captured by a nonlinear extension of fluctuating hydrodynamics.
Statistical Mechanics Computational Physics
2 code implementations • 28 May 2013 • Herbert Spohn
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.
Statistical Mechanics Mathematical Physics Mathematical Physics
2 code implementations • 6 May 2013 • Christian B. Mendl, Herbert Spohn
We study the equilibrium time correlations for the conserved fields of classical anharmonic chains and argue that their dynamic correlator can be predicted on the basis of nonlinear fluctuating hydrodynamics.
Statistical Mechanics
1 code implementation • 8 Feb 2013 • Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn
We observe that the huge degeneracy of stationary states in case of nearest neighbor hopping is lost and the convergence to the thermal Fermi-Dirac distribution is restored.
Mathematical Physics Mesoscale and Nanoscale Physics Mathematical Physics Computational Physics
1 code implementation • 30 Jul 2012 • Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn
We study, both analytically and numerically, the Boltzmann transport equation for the Hubbard chain with nearest neighbor hopping and spatially homogeneous initial condition.
Mathematical Physics Mesoscale and Nanoscale Physics Mathematical Physics Computational Physics