Search Results for author: Herbert Spohn

Found 7 papers, 7 papers with code

High-low pressure domain wall for the classical Toda lattice

1 code implementation22 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

Current fluctuations for anharmonic chains in thermal equilibrium

1 code implementation15 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

Equilibrium time-correlation functions for one-dimensional hard-point systems

2 code implementations2 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

Nonlinear fluctuating hydrodynamics for anharmonic chains

2 code implementations28 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

Dynamic Correlators of Fermi-Pasta-Ulam Chains and Nonlinear Fluctuating Hydrodynamics

2 code implementations6 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

Matrix-valued Boltzmann equation for the non-integrable Hubbard chain

1 code implementation8 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

Matrix-valued Boltzmann Equation for the Hubbard Chain

1 code implementation30 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

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