106 citations
- Technische Universität BerlinDE7 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Centre de Physique ThéoriqueFR4 papers
- Université de ToulonFR4 papers
- Aix-Marseille UniversitéFR3 papers
- Bielefeld UniversityDE3 papers
- Délégation Paris 6FR3 papers
- Humboldt-Universität zu BerlinDE3 papers
- Laboratoire de Mathématiques Analyse, Probabilités, Modélisation OrléansFR3 papers
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9 papers · 1 filter
Slow decorrelations in KPZ growth
Patrik L. Ferrari
For stochastic growth models in the Kardar-Parisi-Zhang (KPZ) class in 1+1 dimensions, fluctuations grow as t^{1/3} during time t and the correlation length at a fixed time scales…
Lagrangian and Hamiltonian two-scale reduction
Johannes Giannoulis, Michael Herrmann, Alexander Mielke
Studying high-dimensional Hamiltonian systems with microstructure, it is an important and challenging problem to identify reduced macroscopic models that describe some effective dy…
Trace formulae for dissipative and coupled scattering systems
Jussi Behrndt, Mark M. Malamud, Hagen Neidhardt
For scattering systems consisting of a (family of) maximal dissipative extension(s) and a selfadjoint extension of a symmetric operator with finite deficiency indices, the spectral…
Stationary solutions of driven fourth- and sixth-order Cahn-Hilliard type equations
M. D. Korzec, P. L. Evans, A. Münch +1
New types of stationary solutions of a one-dimensional driven sixth-order Cahn-Hilliard type equation that arises as a model for epitaxially growing nano-structures such as quantum…
The effect of time-dependent coupling on non-equilibrium steady states
Horia D. Cornean, Hagen Neidhardt, Valentin A. Zagrebnov
Consider (for simplicity) two one-dimensional semi-infinite leads coupled to a quantum well via time dependent point interactions. In the remote past the system is decoupled, and e…
Large time asymptotics of growth models on space-like paths I: PushASEP
Alexei Borodin, Patrik L. Ferrari
We consider a new interacting particle system on the one-dimensional lattice that interpolates between TASEP and Toom's model: A particle cannot jump to the right if the neighborin…