16 citations · 52 across the 15 of their papers we have counts for
16 papers
Existence of Traveling Waves in Infinite Range FPUT Lattices
Michael Herrmann, Karsten Matthies, Jan-Patrick Meyer
We prove the existence of solitary waves in a lattice where all particles interact with each other by pair-wise repulsive forces that decay with distance. The variational existence…
Improved geometric and recollision estimates for the invariance principle of the random Lorentz gas
Karsten Matthies, Raphael Winter
By improving geometric recollision estimates for a random Lorentz gas, we extend the timescale of the invariance principle for a Lorentz gas with particle size obtained…
Fronts in dissipative Fermi-Pasta-Ulam-Tsingou chains
Michael Herrmann, Guillaume James, Karsten Matthies
In a dissipative Fermi-Pasta-Ulam-Tsingou chain particles interact with their nearest neighbors through anharmonic potentials and linear dissipative forces. We prove the existence…
SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family
Karsten Matthies, Johannes Nordström, Matt Turner
We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving…
Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: Thermodynamic interpretation and simulation
Matthias Klar, Karsten Matthies, Celia Reina +1
A class of fast-slow Hamiltonian systems with potential describing the interaction of non-ergodic fast and slow degrees of freedom is studied. The parameter $\varep…
Second-order asymptotic expansion and thermodynamic interpretation of a fast-slow Hamiltonian system
Matthias Klar, Karsten Matthies, Johannes Zimmer
This article includes a short survey of selected averaging and dimension reduction techniques for deterministic fast-slow systems. This survey includes, among others, classical tec…