We consider a classical interacting dimer model which interpolates between the square lattice case and the triangular lattice case by tuning a chemical potential in the diagonal bonds. The interaction energy simply corresponds to the number of plaquettes with parallel dimers. Using transfer matrix calculations, we find in the anisotropic triangular case a succession of different physical phases...

The stacked triangular lattice has the shape of a triangular prism. In spite of being considered frequently in solidstate physics and materials science, its percolation properties have received little attention. We investigate several nonuniversal percolation properties on this lattice using Monte Carlo simulation. We show that the percolation threshold is pbond c = 0.18602 ± 0.00002 for bonds ...

The thermoelectric properties of graphene-based antidot lattices are theoretically investigated. A third nearest-neighbor tight-binding model and a fourth nearest-neighbor force constant model are employed to study the electronic and phononic band structures of graphene antidot lattices with circular, rectangular, hexagonal, and triangular antidot shapes. Ballistic transport models are used to ...

when very large floating structure) vlfs (is heavily loaded in the central portion, the difference deflection between its central section and its corners would increase. one cost effective solution for reducing the differential deflection is gill cell. gill cells are compartments in the vlfs that the buoyancy forces are eliminated at their locations. in this study, for examine the gill cells be...

This paper presents a model for traffic volume prediction which can be effectively used for transportation planning, management and security assessment at any time. Fuzzy logic is applied in order to realize effective and efficient traffic prediction. In this paper, 'day' of a week and 'time' of a day are taken as inputs for proposed model and the output will be the predicte...

Throughout this thesis, we are going to work in a hard disk model which is analogue to the setting in [MR09] and [HMR13]. In this model of two-dimensional crystals, every admissible configuration is a hard disk configuration, which, in addition, is a perturbed version of some triangular lattice with side length one. A triangular lattice with side length one is called standard. The objective of ...

In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach ...

Given a complex matrix H, we consider the decomposition H = QRP∗, where R is upper triangular and Q and P have orthonormal columns. Special instances of this decomposition include the singular value decomposition (SVD) and the Schur decomposition where R is an upper triangular matrix with the eigenvalues of H on the diagonal. We show that any diagonal for R can be achieved that satisfies Weyl’s...

Shape blending determines the in-between shapes that provide the gradual transformation of one shape into another. It is usually considered a two-step problem: the correspondence problem and the interpolation problem. This paper presents a solution to the interpolation of transforming one triangular mesh model into another triangular mesh based on their intrinsic definitions. Rather than consid...

In this paper, we argue for representing networks as a bag of triangular motifs, particularly for important network problems that current model-based approaches handle poorly due to computational bottlenecks incurred by using edge representations. Such approaches require both 1-edges and 0-edges (missing edges) to be provided as input, and as a consequence, approximate inference algorithms for ...