Dimer packings with gaps and electrostatics
نویسندگان
چکیده
منابع مشابه
Dimer packings with gaps and electrostatics
Fisher and Stephenson conjectured in 1963 that the correlation function (defined by dimer packings) of two unit holes on the square lattice is rotationally invariant in the limit of large separation between the holes. We consider the same problem on the hexagonal lattice, extend it to an arbitrary finite collection of holes, and present an explicit conjectural answer. In recent work we managed ...
متن کاملDense Crystalline Dimer Packings of Regular Tetrahedra
We present the densest known packing of regular tetrahedra with density φ = 4000 4671 = 0.856347 . . . . Like the recently discovered packings of Kallus et al. and Torquato–Jiao, our packing is crystalline with a unit cell of four tetrahedra forming two triangular dipyramids (dimer clusters). We show that our packing has maximal density within a three-parameter family of dimer packings. Numeric...
متن کاملthe past hospitalization and its association with suicide attempts and ideation in patients with mdd and comparison with bmd (depressed type) group
چکیده ندارد.
Interactive Visualization of Gaps and Overlaps for Large and Dynamic Sphere Packings
To gain insight into many properties of granular matter, a particle packing can be simulated. For a dry particle mixture, collective rearrangement is often used as an iterative process to place the particles. In this paper, we present a new visualization technique to judge the quality of a collective rearrangement simulation of many spheres with a given particle size distribution. In addition t...
متن کاملA Triangular Gap of Size Two in a Sea of Dimers on a 60 Angle
We consider a triangular gap of side two in a 60 angle on the triangular lattice whose sides are zig-zag lines. We study the interaction of the gap with the corner as the rest of the angle is completely filled with lozenges. We show that the resulting correlation is governed by the product of the distances between the gap and its five images in the sides of the angle. This provides a new aspect...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2008
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.0710659105