5 citations · 7 across the 5 of their papers we have counts for
8 papers
A statistical theory of structure in many-particle systems with local interactions
John Çamkıran, Fabian Parsch, Glenn D. Hibbard
A theory of structure is formulated for systems of many structureless classical particles with stable local interactions in Euclidean space. Such systems are shown to have their st…
Towards Constructing Geodesic Nets with Four Boundary Vertices and an Increasing Number of Balanced Vertices
Fabian Parsch, Hanrui Zhang
We construct a geodesic net in the plane with four boundary (unbalanced) vertices that has 25 balanced vertices and that is irreducible, i.e. it does not contain nontrivial subnets…
Local-order fluctuations in Kob-Andersen-type glass formers
John Çamkıran, Fabian Parsch, Glenn D. Hibbard
Notwithstanding decades of work, we still lack a satisfactory understanding of the structural relaxation that takes place as a liquid is rapidly cooled to form a glass. The present…
On the topology of the space of coordination geometries
John Çamkıran, Fabian Parsch, Glenn D. Hibbard
Coordination geometries describe how the neighbours of a central particle are arranged around it. Such geometries can be thought to lie in an abstract topological space; a model of…
A local orientational order parameter for systems of interacting particles
John Çamkıran, Fabian Parsch, Glenn D. Hibbard
Many physical systems are well modeled as collections of interacting particles. Nevertheless, a general approach to quantifying the absolute degree of order immediately surrounding…
Geodesic Nets: Some Examples and Open Problems
Alexander Nabutovsky, Fabian Parsch
Geodesic nets on Riemannian manifolds form a natural class of stationary objects generalizing geodesics. Yet almost nothing is known about their classification or general propertie…
An example for a nontrivial irreducible geodesic net in the plane
Fabian Parsch
We construct a geodesic net in the plane with four unbalanced (boundary) vertices that has 16 balanced vertices and does not contain proper geodesic subnets. This is the first exam…
Geodesic nets with three boundary vertices
Fabian Parsch
We prove that a geodesic net with three boundary (= unbalanced) vertices on a non-positively curved plane has at most one balanced vertex. We do not assume any a priori bound for t…