We consider a long-range growth dynamics on the two-dimensional integer lattice, initialized by a finite set of occupied points. Subsequently, a site x becomes occupied if the pair consisting of the counts of occupied sites along the entire horizontal and vertical lines through x lies outside a fixed Young diagram Z. We study the extremal quantity μ(Z), the maximal finite time at which the latt...

Abstract This paper presents a simple experimental validation of method for finding optimal application patterns in adhesive bonding, as previously introduced by Flaig et al. (2023). The study uses two examples to demonstrate that the found theory effectively fill target gaps after pressing practice. results confirm identified almost perfectly, ensuring excellent joint integrity process. In par...

Tensile behavior of concrete canvas (CC) mainly depends on the geometric patterns 3D spacer fabric. A lattice model is proposed to three-dimensional structure CC investigate influence fabric tensile CC. The stress intensity factor also applied into study crack development subjected load. simulation results are compared experiments verify model. Finally, pattern outer layer and yarns simulated b...

The investigation of geo hydrological features of drainage basin is necessary for planning and implementation of various watershed development programmes. The visual interpretation techniques coupled with morphometric analysis is used in the present study to evaluate the geomorphic process of upper watershed of river Subarnarekha in the state of Jharkhand, India. Various spatial information is ...

Basin morphometry is a means of numerically analysing or mathematically quantifying different aspects of a drainage basin. In the present study, morphometric analysis of the Baitarani basin has been carried out using earth observation data and geographical information system (GIS) techniques. The morphometric parameters considered for analyses include the linear, areal and relief aspects of the...

The marginal regeneration process responsible for foam film drainage is revisited. It shown that a horizontal, micron thick, in contact with meniscus destabilizes and patches of thinner grow along the meniscus, forming very regular pattern.

In this paper, the river network is divided into sub-networks forming a hierarchy of drainage systems following the Horton order. Then, drainage systems are rearranged based on their pattern to obtain more homogeneous drainage systems which do not necessarily follow the Horton order. Such reorganization facilitates the description of the network system. Such organization can be useful for terra...

Don't be square! A rare S(4) (2-) rectangle bridging two M(2)Cp(2)(mu(2)-CH(2))(2) (M=Rh, Ir) fragments is found to contain two "half-bonds" with S-S distances of 2.70 or 2.90 A. Computational studies explore the connection between these "half-bonds" and a Jahn-Teller distortion, as well as possible intermediates that form M(4)S(4) (2+) clusters having the S(4) (2-) rectangle rotated by 90 degr...

We observed, and believe it to be the first time, the self-formation of periodic, supramolecular ~micrometer scale! pillar arrays in a thin, single-homopolymer film melt, which was originally flat on a plate. The self-formation was induced by placing a second plate ~called a mask! a distance above the polymer film. The pillars, formed by rising against the gravitational force and surface tensio...