136 citations · 282 across the 15 of their papers we have counts for
15 papers
(Non-)Hyperuniformity of Second Order Statistics of Point Processes
Fabio Frommer, Martin Hanke
We investigate statistical properties of certain stationary point processes, namely determinantal processes with projection kernels and Gibbs point processes with superstable pair…
The second fluctuation-dissipation theorem for the generalized Langevin equation
Martin Hanke
Necessary and sufficient conditions are presented for the existence of (second order) stationary solutions of the generalized Langevin equation under appropriate assumptions on the…
On the shape derivative of polygonal inclusions in the conductivity problem
Martin Hanke
We consider the conductivity problem for a homogeneous body with an inclusion of a different, but known, conductivity. Our interest concerns the associated shape derivative, i.e.,…
A variational framework for the inverse Henderson problem of statistical mechanics
Fabio Frommer, Martin Hanke
The inverse Henderson problem refers to the determination of the pair potential which specifies the interactions in an ensemble of classical particles in continuous space, given th…
Model reduction techniques for the computation of extended Markov parameterizations for generalized Langevin equations
Niklas Bockius, Jeanine Shea, Gerhard Jung +2
The generalized Langevin equation is a model for the motion of coarse-grained particles where dissipative forces are represented by a memory term. The numerical realization of such…
A note on the uniqueness result for the inverse Henderson problem
Fabio Frommer, Martin Hanke, Sabine Jansen
The inverse Henderson problem of statistical mechanics concerns classical particles in continuous space which interact according to a pair potential depending on the distance of th…
A model for warm clouds with implicit droplet activation, avoiding saturation adjustment
Nikolas Porz, Martin Hanke, Manuel Baumgartner +1
The representation of cloud processes in weather and climate models is crucial for their feedback on atmospheric flows. Since there is no general macroscopic theory of clouds, the…
Generalized Langevin dynamics: Construction and numerical integration of non-Markovian particle-based models
Gerhard Jung, Martin Hanke, Friederike Schmid
We propose a generalized Langevin dynamics (GLD) technique to construct non-Markovian particle-based coarse-grained models from fine-grained reference simulations and to efficientl…
A generalized Newton iteration for computing the solution of the inverse Henderson problem
Fabrice Delbary, Martin Hanke, Dmitry Ivanizki
We develop a generalized Newton scheme IHNC for the construction of effective pair potentials for systems of interacting point-like particles.The construction is made in such a way…
Well-posedness of the Iterative Boltzmann Inversion
Martin Hanke
The iterative Boltzmann inversion is an iterative scheme to determine an effective pair potential for an ensemble of identical particles in thermal equilibrium from the correspondi…
Iterative Reconstruction of Memory Kernels
Gerhard Jung, Martin Hanke, Friederike Schmid
In recent years, it has become increasingly popular to construct coarse-grained models with non-Markovian dynamics to account for an incomplete separation of time scales. One chall…
Molecular dynamics simulations in hybrid particle-continuum schemes: Pitfalls and caveats
Stefanie Stalter, Leonid Yelash, Nehzat Emamy +4
Heterogeneous multiscale methods (HMM) combine molecular accuracy of particle-based simulations with the computational efficiency of continuum descriptions to model flow in soft ma…
Frechet differentiability of molecular distribution functions II. The Ursell function
Martin Hanke
For a grand canonical ensemble of classical point-like particles at equilibrium in continuous space we investigate the functional relationship between a stable and regular pair pot…
Frechet differentiability of molecular distribution functions I. analysis
Martin Hanke
For a grand canonical ensemble of classical point-like particles at equilibrium in continuous space we investigate the functional relationship between a stable and regular pair pot…
Polarization tensors of planar domains as functions of the admittivity contrast
Roland Griesmaier, Martin Hanke
(Electric) polarization tensors describe part of the leading order term of asymptotic voltage perturbations caused by low volume fraction inhomogeneities of the electrical properti…