289 citations · 970 across the 44 of their papers we have counts for
6 papers · 1 filter
Entropy Production in Non-Linear, Thermally Driven Hamiltonian Systems
Jean-Pierre Eckmann, Claude-Alain Pillet, Luc Rey-Bellet
We consider a finite chain of non-linear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existen…
Non-Equilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures
Jean-Pierre Eckmann, Claude-Alain Pillet, Luc Rey-Bellet
We study the statistical mechanics of a finite-dimensional non-linear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations)…
Zeta functions with Dirichlet and Neumann boundary conditions for exterior domains
J. -P. Eckmann, C. -A. Pillet
We generalize earlier studies on the Laplacian for a bounded open domain with connected complement and piecewise smooth boundary. We compare it with the quantum mech…
Inside-Outside Duality for Planar Billiards -- A Numerical Study
Barbara Dietz, Jean-Pierre Eckmann, Claude-Alain Pillet +2
This paper reports the results of extensive numerical studies related to spectral properties of the Laplacian and the scattering matrix for planar domains (called billiards). There…
Scattering Phases and Density of States for Exterior Domain
J. -P. Eckmann, C. -A. Pillet
For a bounded open domain with connected complement and piecewise smooth boundary, we consider the Dirichlet Laplacian $-\DO$ on and the S-matrix on the compleme…
Spectral Duality for Planar Billiards
J. -P. Eckmann, C. -A. Pillet
For a bounded open domain with connected complement in and piecewise smooth boundary, we consider the Dirichlet Laplacian on and the S-matrix on the comp…