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We consider the Constrained-degree percolation model in random environment (CDPRE) on the square lattice. In this model, each vertex $v$ has an independent random constraint $\kappa_v$ which takes the value $j\in \{0,1,2,3\}$ with…

Probability · Mathematics 2025-04-30 Diogo C. dos Santos , Roger W. C. Silva

The conducting and mechanical properties of a metallic nanowire formed at the junction between two macroscopic metallic electrodes are investigated. Both two- and three-dimensional wires with a W(ide)-N(arrow)-W(ide) geometry are modelled…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Kassubek , C. A. Stafford , Hermann Grabert

When a finite volume of an etching solution comes in contact with a disordered solid, a complex dynamics of the solid-solution interface develops. Since only the weak parts are corroded, the solid surface hardens progressively. If the…

Statistical Mechanics · Physics 2009-10-31 A. Gabrielli , A. Baldassarri , B. Sapoval

Metal wire networks rely on percolation paths for electrical conduction, and by suitably introducing break-make junctions on a flexible platform, a network can be made to serve as a resistive strain sensor. Several experimental designs have…

Applied Physics · Physics 2021-07-09 Ankush Kumar

We describe the formation of deposition patterns that are observed in many different experiments where a three-phase contact line of a volatile nanoparticle suspension or polymer solution recedes. A dynamical model based on a long-wave…

Fluid Dynamics · Physics 2011-06-24 Lubor Frastia , Andrew J. Archer , Uwe Thiele

Ordering nanoparticles into a desired super-structure is often crucial for their technological applications. We use molecular dynamics simulations to study the assembly of nanoparticles in a polymer brush randomly grafted to a planar…

Soft Condensed Matter · Physics 2017-12-11 Shengfeng Cheng , Mark J. Stevens , Gary S. Grest

We consider the densities of clusters, at the percolation point of a two-dimensional system, which are anchored in various ways to an edge. These quantities are calculated by use of conformal field theory and computer simulations. We find…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Kleban , J. J. H. Simmons , R. M. Ziff

We consider the problem of electron transport in segregated conductor-insulator composites in which the conducting particles are connected to all others via tunneling conductances, thus forming a global tunnelingconnected resistor network.…

Disordered Systems and Neural Networks · Physics 2012-01-23 B. Nigro , C. Grimaldi , P. Ryser

We report experiments, modeling and numerical simulations of the self--assembly of particle patterns obtained from a nanometric metallic square grid. Initially, nickel filaments of rectangular cross section are patterned on a SiO$_2$ flat…

Local chemical ordering strongly influences the behavior of complex concentrated alloys, yet its characterization remains challenging due to the nanoscale dimensions and scattered spatial distribution of the ordered domains. Here, we study…

Materials Science · Physics 2026-02-10 Ian Geiger , Yuan Tian , Ying Han , Yutong Bi , Xiaoqing Pan , Penghui Cao , Timothy J. Rupert

A detailed study of the pore-widening rate of nanoporous anodic alumina layers as a function of the anodization voltage was carried out. The study focuses on samples produced under the same electrolyte and concentration but different…

Explosive Percolation describes the abrupt onset of large-scale connectivity that results from a simple random process designed to delay the onset of the transition on an underlying random network or lattice. Explosive percolation…

Disordered Systems and Neural Networks · Physics 2015-11-06 Raissa M. D'Souza , Jan Nagler

We study the percolation properties of force networks in an anisotropic model for granular packings, the so-called q-model. Following the original recipe of Ostojic et al. [Nature 439, 828 (2006)], we consider a percolation process in which…

Statistical Mechanics · Physics 2015-06-03 Romualdo Pastor-Satorras , M. -Carmen Miguel

Four samples of transparent conductive films with different numbers of silver nanorings per unit area were produced. The sheet resistance, transparency, and haze were measured for each sample. Using Monte Carlo simulation, we studied the…

The colloidal processing of nearly monodisperse and highly crystalline single-domain ferroelectric or ferromagnetic nanocubes is a promising route to produce superlattice structures for integration into next-generation devices, whereas…

Effects due to magneto-optical interactions are responsible for most of the phenomena discovered in optoelectronics and spintronics. Magneto-optical interactions can generate elementary excitations of the order of light-magnetic matter,…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Luana Hildever , Thiago Ferro , Adrielson Dias , André José , Francisco Estrada , José Holanda

Molecular building blocks interacting at the nanoscale organize spontaneously into stable mono- layers that display intriguing long-range ordering motifs on the surface of atomic substrates. The patterning process, if appropriately…

Mesoscale and Nanoscale Physics · Physics 2011-02-18 Marta Balbás Gambra , Carsten Rohr , Kathrin Gruber , Bianca Hermann , Thomas Franosch

The proper design of DNA sequences allows for the formation of well defined supramolecular units with controlled interactions via a consecution of self-assembling processes. Here, we benefit from the controlled DNA self-assembly to…

Soft Condensed Matter · Physics 2018-02-14 Javier Fernandez-Castanon , Francesca Bomboi , Francesco Sciortino

The directed self-assembly of colloidal nanoparticles (NPs) using external fields guides the formation of sophisticated hierarchical materials but becomes less effective with decreasing particle size. As an alternative, electron-beam-driven…

Soft Condensed Matter · Physics 2024-09-13 Jonathan G. Raybin , Ethan J. Dunsworth , Veronica Guo , Naomi S. Ginsberg

The concept of percolation is combined with a self-consistent treatment of the interaction between the dynamics on a lattice and the external drive. Such a treatment can provide a mechanism by which the system evolves to criticality without…

Statistical Mechanics · Physics 2007-11-29 A. V. Milovanov , K. Rypdal , J. J. Rasmussen