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19932026
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351 citations · 2.7k across the 82 of their papers we have counts for

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14 papers · 1 filter

chao-dyn1999★ 145 cited

Non-Equilibrium Statistical Mechanics of Strongly Anharmonic Chains of Oscillators

Jean-Pierre Eckmann, Martin Hairer

We study the model of a strongly non-linear chain of particles coupled to two heat baths at different temperatures. Our main result is the existence and uniqueness of a stationary…

chao-dyn1999★ 2 cited

Hydrodynamic Lyapunov Modes in Translation Invariant Systems

Jean-Pierre Eckmann, Omri Gat

We study the implications of translation invariance on the tangent dynamics of extended dynamical systems, within a random matrix approximation. In a model system, we show the exis…

chao-dyn1999★ 1 cited

Porosities and dimensions of measures satisfying the doubling condition

Jean-Pierre Eckmann, Esa Jarvenpaa, Maarit Jarvenpaa

Summary of a talk at the conference The Chaotic Universe in Rome, Feb, 1999

chao-dyn1999★ 16 cited

Porosities and dimensions of measures

Jean-Pierre Eckmann, Esa Jarvenpaa, Maarit Jarvenpaa

We introduce a concept of porosity for measures and study relations between dimensions and porosities for two classes of measures: measures on which satisfy the doubling cond…

chao-dyn1998★ 130 cited

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…

chao-dyn1998★ 289 cited

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)…