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We develop a framework based on differential equations (DE) and differential inclusions (DI) for analyzing Random Network Coding (RNC), as well as a nonlinear variant referred to as Random Coupon (RC), in a wireless network. The DEDI…

Information Theory · Computer Science 2012-01-10 Dan Zhang , Narayan B. Mandayam

In wireless networks, the knowledge of nodal distances is essential for several areas such as system configuration, performance analysis and protocol design. In order to evaluate distance distributions in random networks, the underlying…

Information Theory · Computer Science 2012-01-24 Sunil Srinivasa , Martin Haenggi

Using Monte Carlo simulation, we studied the electrical conductance of two-dimensional films. The films consisted of a poorly conductive host matrix and highly conductive rodlike fillers (rods). The rods were of various lengths, obeying a…

Soft Condensed Matter · Physics 2019-08-14 Yuri Yu. Tarasevich , Irina V. Vodolazskaya , Andrei V. Eserkepov , Renat K. Akhunzhanovd

In a Monte Carlo study the conductivity of two-dimensional random stick systems is investigated from the percolation threshold up to ten times the percolation threshold density. We propose a model explicitly depending on the stick density…

Disordered Systems and Neural Networks · Physics 2012-10-10 Milan Žeželj , Igor Stanković

We introduce a deep neural network (DNN) framework called the \textbf{r}eal-space \textbf{a}tomic \textbf{d}ecomposition \textbf{net}work (\textsc{radnet}), which is capable of making accurate polarization and static dielectric function…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Kevin Ryczko , Olivier Malenfant-Thuot , Michel Côté , Isaac Tamblyn

Electron transport in a two-terminal Aharonov-Bohm ring with a few short-range scatterers is investigated. An analytical expression for the conductance as a function of the electron Fermi energy and magnetic flux is obtained using the…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 M. A. Kokoreva , V. A. Margulis , M. A. Pyataev

We have investigated the dipole charge- and spin-density response of few-electron two-dimensional concentric nanorings as a function of the intensity of a perpendicularly applied magnetic field. We show that the dipole response displays…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Francesc Malet , Martí Pi , Manuel Barranco , Enrico Lipparini , Llorenç Serra

The equations for phase transitions temperatures, order parameters and critical concentrations of components have been derived for mixed ferroelectrics. The electric dipoles randomly distributed over the system were considered as a random…

Materials Science · Physics 2007-05-23 M. D. Glinchuk , E. A. Eliseev , V. A. Stephanovich , L. Jastrabik

This paper employs layer potential techniques to investigate wave scattering in two-dimensional elastic media exhibiting high contrasts in both Lam\'{e} parameters and density. Our contributions are fourfold. First, we construct an…

Analysis of PDEs · Mathematics 2025-10-03 Yuanchun Ren , Yixian Gao

Using computer simulation, we investigated the dependence of the electrical conductivity of random two-dimensional systems of straight nanowires on the main parameters. Both the resistance of the conductors and the resistance of the…

Disordered Systems and Neural Networks · Physics 2025-08-26 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Irina V. Vodolazskaya

High frequency applications of superconductors in a dc magnetic field rely on the estimate of the characteristic crossover frequency $\nu_c$ between low and high losses. Customarily, high sensitivity resonant techniques, intrinsically…

Superconductivity · Physics 2025-01-22 Nicola Pompeo , Kostiantyn Torokhtii , Andrea Alimenti , Enrico Silva

We study resonance distributions in a circular dielectric cavity. It is shown that the decay-rate distribution has a peak structure and the details of the peak are consistent with the classical survival probability time distribution. We…

Optics · Physics 2009-11-13 Jung-Wan Ryu , Sunghwan Rim , Young-Jai Park , Chil-Min Kim , Soo-Young Lee

All types of networks arise as intricate combinations of dyadic building blocks formed by pairs of vertices. In directed networks, the dyadic patterns are entirely determined by reciprocity, i.e. the tendency to form, or to avoid, mutual…

Data Analysis, Statistics and Probability · Physics 2014-01-14 Tiziano Squartini , Francesco Picciolo , Franco Ruzzenenti , Diego Garlaschelli

The broadcast phase (downlink transmission) of the two-way relay network is studied in the source coding and joint source-channel coding settings. The rates needed for reliable communication are characterised for a number of special cases…

Information Theory · Computer Science 2010-11-23 Roy Timo , Alex Grant , Gerhard Kramer

The resistance between arbitrary two nodes in a resistor network is obtained in terms of the eigenvalues and eigenfunctions of the Laplacian matrix associated with the network. Explicit formulas for two-point resistances are deduced for…

Mathematical Physics · Physics 2009-11-10 F. Y. Wu

This paper is Part II of a two-part series devoting to the study of systematic measures in a complex bio-network modeled by a system of ordinary differential equations. In this part, we quantify several systematic measures of a biological…

Probability · Mathematics 2016-06-13 Yao Li , Yingfei Yi

We study random lattice networks consisting of resistor like and diode like bonds. For investigating the transport properties of these random resistor diode networks we introduce a field theoretic Hamiltonian amenable to renormalization…

Statistical Mechanics · Physics 2009-10-31 Hans-Karl Janssen , Olaf Stenull

We investigate the effect of unidirectional regular and random couplings of units in a network on stochastic resonance. For simplicity we choose the units as Bellows map with bistability. In a regular network we apply a weak periodic signal…

Chaotic Dynamics · Physics 2014-04-23 S. Rajamani , S. Rajasekar

The surface modes of a composite consisting of aligned metallic wires with square cross sections are investigated, on the basis of photonic band structure calculations. The effective long-wavelength dielectric response function is computed,…

Materials Science · Physics 2009-10-31 J. M. Pitarke , F. J. Garcia-Vidal , J. B. Pendry

We experimentally study resonant light scattering by a one-dimensional randomly filled chain of cold two-level atoms. By a local measurement of the light scattered along the chain, we observe constructive interferences in light-induced…

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