94 citations · 163 across the 6 of their papers we have counts for
6 papers
On the wave turbulence theory: ergodicity for the elastic beam wave equation
Benno Rumpf, Avy Soffer, Minh-Binh Tran
We analyse a 3-wave kinetic equation, derived from the elastic beam wave equation on the lattice. The ergodicity condition states that two distinct wavevectors are supposed to be c…
On the origins of spectral broadening of incoherent waves:Catastrophic process of coherence degradation
Gang Xu, Josselin Garnier, Benno Rumpf +5
We revisit the mechanisms underlying the process of spectral broadening of incoherent optical waves propagating in nonlinear media on the basis of nonequilibrium thermodynamic cons…
A simple statistical explanation for the localization of energy in nonlinear lattices with two conserved quantities
Benno Rumpf
The localization of energy in the discrete nonlinear Schroedinger equation is explained with statistical methods. The partition function and the entropy of the system are computed…
Localization and Coherence in Nonintegrable Systems
Benno Rumpf, Alan C. Newell
We study the irreversible dynamics of nonlinear, nonintegrable Hamiltonian oscillator chains approaching their statistical asympotic states. In systems constrained by more than one…
Weakly nonlinear analysis in spatially extended systems as a formal perturbation scheme
Wolfram Just, Frank Matth"aus, Hans Rainer V"olger +3
The well known concept, to reduce the spatio-temporal dynamics beyond instabilities of trivial states to amplitude modulated patterns, is reviewed from the point of view of a forma…
Stationary planar domain walls of a classical spin chain
Benno Rumpf
Domain walls of a discrete model of an anisotropic ferromagnet are studied. They can be described by sequences of two reversible mappings. Competition between the length scale of s…