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Pattern selection when a layer buckles on a soft substrate.
If a neo-Hookean elastic layer adhered to a neo-Hookean substrate grows equibiaxially, it will buckle into a topographic pattern. Here, we combine higher order perturbation theory and finite element numerics to predict the...
Diophantine Approach to the Classification of Two-Dimensional Lattices
Stephen J Jenkins
May 22, 2018
The long-range periodic order of a crystalline surface is generally represented by means of a two-dimensional Bravais lattice, of which only five symmetrically distinct types are possible. Here, we explore the circumstances...
Szekeres universes with homogeneous scalar fields.
We consider the existence of an "inflaton" described by an homogeneous scalar field in the Szekeres cosmological metric. The gravitational field equations are reduced to two families of solutions which describe the homogeneous...
Mode Selection in Compressible Active Flow Networks.
Coherent, large-scale dynamics in many nonequilibrium physical, biological, or information transport networks are driven by small-scale local energy input. Here, we introduce and explore an analytically tractable nonlinear model...
Combining Internally Contracted States and Matrix Product States To Perform Multireference Perturbation Theory.
We present two efficient and intruder-free methods for treating dynamic correlation on top of general multiconfiguration reference wave functions - including such as obtained by the density matrix renormalization group (DMRG)...
Gravity and the spin-2 planar Schroedinger equation
A Schroedinger equation proposed for the GMP gapped spin-2 mode of fractional Quantum Hall
states is found from a novel non-relativistic limit, applicable only in 2+1 dimensions, of the massive spin-2 Fierz-Pauli
field...
Spherical images and inextensible curved folding.
Keith A Seffen
Jun 04, 2018
In their study, Duncan and Duncan [Proc. R. Soc. London A 383, 191 (1982)1364-502110.1098/rspa.1982.0126] calculate the shape of an inextensible surface folded in two about a general curve. They find the analytical relationships...