منابع مشابه
Computing monomer-dimer systems through matrix permanent.
The monomer-dimer model is fundamental in statistical mechanics. However, it is #P -complete in computation, even for two-dimensional problems. A formulation for the partition function of the monomer-dimer system is proposed in this paper by transforming the number of all matchings of a bipartite graph into the number of perfect matchings of an extended bipartite graph, which can be given by a ...
متن کاملStability of monomer-dimer piles.
We present an experimental and theoretical study of piles consisting of monodisperse spherical grains mixed with a weight fraction nu(d) of dimer grains made by the rigid bonding of two such spherical grains. The maximum static angle of stability tantheta(c) of the pile increases from 0.45 to 1.1 and the grain packing fraction Phi decreases from 0.58 to 0.52 as nu(d) is increased from 0 to 1. T...
متن کاملMonomer-dimer tatami tilings of square regions
We prove that the number of monomer-dimer tilings of an n × n square grid, with m < n monomers in which no four tiles meet at any point is m2 + (m + 1)2, when m and n have the same parity. In addition, we present a new proof of the result that there are n2 such tilings with n monomers, which divides the tilings into n classes of size 2. The sum of these tilings over all monomer counts has the c...
متن کاملMonomer-Dimer Tatami Tilings of Rectangular Regions
In this paper we consider tilings of rectangular regions with two types of tiles, 1× 2 tiles (dimers) and 1× 1 tiles (monomers). The tiles must cover the region and satisfy the constraint that no four corners of the tiles meet; such tilings are called tatami tilings. We provide a structural characterization and use it to prove that the tiling is completely determined by the tiles that are on it...
متن کاملDimer-monomer dissociation of human hemoglobin A.
Isolated 3H-labeled human hemoglobin alpha chains were incubated with unlabeled carbonmonoxyhemoglobin A for 72 h in 0.01 M potassium phosphate, pH 7.0, at 25 degrees C. Following separation of the free alpha chain monomers and Hb A (alpha 2 beta 2) tetramers by electrophoresis on cellulose acetate strips or by chromatography on DEAE-cellulose columns, analysis of radioactivity showed a slow tr...
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: Communications in Mathematical Physics
سال: 1972
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01645620