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At least 163 records · Page 9Linked to original sources
arXiv2012

Calculation technique for simulation of wave and fracture dynamics in a reinforced sheet

Mathematical models and computer algorithms are developed to calculate dynamic stress concentration and fracture wave propagation in a reinforced composite sheet. The composite consists of a regular system alternating extensible fibers and pliable adhesive layers. In computer simulations, we derive difference algorithms preventing or minimizing the parasite distortions caused by the mesh dispersion and obtain precise numerical solutions in the plane fracture problem of a pre-stretched sheet along the fibers. Interactive effects of microscale dynamic deformation and multiple damage in fibers and adhesive are studied. Two engineering models of the composite are considered: the first assumes that adhesive can be represented by inertionless bonds of constant stiffness, while in the second one an adhesive is described by inertial medium perceived shear stresses. Comparison of results allows the evaluation of facilities of models in wave and fracture patterns analysis.

physics.comp-ph↗
arXiv2012

Numerical Computations of Conductivities over Agglomerated Continuum Percolation Models

In order to clarify how the percolation theory governs the conductivities in real materials which consist of small conductive particles, e.g., nanoparticles, with random configurations in an insulator, we numerically investigate the conductivities of continuum percolation models consisting of overlapped particles using the finite difference method as a sequel of our previous article (Int. J. Mod. Phys. 21 (2010), 709). As the previous article showed the shape effect of each particle by handling different aspect ratios of spheroids, in this article we numerically show influences of the agglomeration of the particles on conductivities after we model the agglomerated configuration by employing a simple numerical algorithm which simulate an agglomerated configuration of particles by a natural parameter. We conclude that the dominant agglomeration effect on the conductivities can be interpreted as the size effect of an analyzed region. We also discuss an effect of shape of the agglomerated clusters on its universal property.

cond-mat.mtrl-sci↗
arXiv2012

A network of phase oscillators as a device for sequential pattern generation

We design a system of phase oscillators that is able to produce temporally periodic sequences of patterns. Patterns are cluster partitions which encode information as phase differences between phase oscillators. The architecture of our system consists of a retrieval network with N globally coupled phase oscillators, a pacemaker that controls the sequence retrieval, and a set of patterns stored in the couplings between the pacemaker and the retrieval network. The system performs in analogy to a central pattern generator of neural networks and is very robust against perturbations in the retrieval process.

nlin.CD↗
arXiv2011

On direct inverse of Stokes, Helmholtz and Laplacian operators in view of time-stepper-based Newton and Arnoldi solvers in incompressible CFD

Factorization of the incompressible Stokes operator linking pressure and velocity is revisited. The main purpose is to use the inverse of the Stokes operator with a large time step as a preconditioner for Newton and Arnoldi iterations applied to computation of steady three-dimensional flows and to study of their stability. It is shown that the Stokes operator can be inversed within an acceptable computational effort. This inverse includes fast direct inverses of several Helmholtz operators and iterative inverse of the pressure matrix. It is shown, additionally, that fast direct solvers can be attractive for the inverse of the Helmholtz and Laplace operators on fine grids and at large Reynolds numbers, as well as for other problems where convergence of iterative methods slows down. Implementation of the Stokes operator inverse to time-stepping-based formulation of the Newton and Arnoldi iterations is discussed.

physics.comp-ph↗
arXiv2011

On Measurement and Computation

Inspired by the work of Feynman, Deutsch, We formally propose the theory of physical computability and accordingly, the physical complexity theory. To achieve this, a framework that can evaluate almost all forms of computation using various physical mechanisms is discussed. Here, we focus on using it to review the theory of Quantum Computation. As a preliminary study on more general problems, some examples of other physical mechanism are also given in this paper.

physics.comp-ph↗
arXiv2013

Reducing Search Lengths with Locally Precomputed Partial Random Walks

Random walks can be used to search a complex networks for a desired resource. To reduce the number of hops necessary to find the resource, we propose a search mechanism based on building random walks connecting together partial walks that have been precomputed at each network node in an initial stage. The resources found in each partial walk are registered in its associated Bloom filter. Searches can then jump over partial nodes in which the resource is not located, significantly reducing search length. However, additional unnecessary hops come from false positives at the Bloom filters. The analytic model provided predicts the expected search length of this mechanism, the optimal size of the partial walks and the corresponding optimal (shortest) expected search length. Simulation experiments are used to validate these predictions and to assess the impact of the number of partial walks precomputed in each node.

cs.NI↗
arXiv2011

Threshold behaviour in Light Reflection Tuning the Disorder in Photonic Media

The optical properties of materials are strongly influenced by disorder. Control of disorder in photonic materials can unveil interesting optical properties. We have found an engineered photonic structure for which the average light reflection shows a linear behaviour with a slope change in a broad range of wavelengths. Such change in slope is due to a specific degree of disorder, which is quantified by the Shannon index.

physics.optics↗
arXiv2011

Quantum Computation: Particle and Wave Aspects of Algorithms

The driving force in the pursuit for quantum computation is the exciting possibility that quantum algorithms can be more efficient than their classical analogues. Research on the subject has unraveled several aspects of how that can happen. Clever quantum algorithms have been discovered in recent years, although not systematically, and the field remains under active investigation. Richard Feynman was one of the pioneers who foresaw the power of quantum computers. In this issue dedicated to him, I give an introduction to how particle and wave aspects contribute to the power of quantum computers. Shor's and Grover's algorithms are analysed as examples.

quant-ph↗
arXiv2011

How much multifractality is included in monofractal signals?

We investigate the presence of residual multifractal background for monofractal signals which appears due to the finite length of the signals and (or) due to the long memory the signals reveal. This phenomenon is investigated numerically within the multifractal detrended fluctuation analysis (MF-DFA) for artificially generated time series. Next, the analytical formulas enabling to describe the multifractal content in such signals are provided. Final results are shown in the frequently used generalized Hurst exponent h(q) multifractal scenario and are presented as a function of time series length L and the autocorrelation exponent value γ. The multifractal spectrum (α, f (α)) approach is also discussed. The obtained results may be significant in any practical application of multifractality, including financial data analysis, because the "true" multifractal effect should be clearly separated from the so called "multifractal noise". Examples from finance in this context are given. The provided formulas may help to decide whether we do deal with the signal of real multifractal origin or not.

physics.data-an↗
arXiv2011

Development and performance analysis of a UPC Particle-in-Cell code

The development and the implementation of a Particle-in-Cell code written in the Unified Parallel C (UPC) language for plasma simulations with application to astrophysics and fusion nuclear energy machines are presented. A simple one dimensional electrostatic Particle-in-Cell code has been developed first to investigate the implementation details in the UPC language, and second to study the UPC performance on parallel computers. The initial simulations of plasmas with the UPC Particle-in-Cell code and a study of parallel speed-up of the UPC code up to 128 cores are shown.

physics.comp-ph↗
arXiv2012

Molecular Dynamics Simulation of Cross-linked Graphene-Epoxy Nanocomposites

This paper focuses on molecular dynamics (MD) modeling of graphene reinforced cross-linked epoxy (Gr-Ep) nanocomposite. The goal is to study the influence of geometry, and concentration of reinforcing nanographene sheet (NGS) on interfacial properties and elastic constants such as bulk Young's modulus, and shear modulus of Gr-Ep nanocomposites. The most typical cross-linked configuration was obtained in order to use in further simulations. The mechanical properties of this cross-linked structure were determined using MD simulations and the results were verified with those available in literatures. Graphene with different aspect ratios and concentrations (1%, 3% and 5%) were considered in order to construct amorphous unit cells of Gr-Ep nanocomposites. The Gr-Ep nanocomposites system undergoes NVT (constant number of atoms, volume and temperature) and NPT (constant number of atoms, pressure and temperature) ensemble with applied uniform strain field during MD simulation to obtain bulk Young's modulus and shear modulus. The stress-strain response was also evaluated for both amorphous and crystalline unit cells of Gr-Ep system under uni-axial deformation. The cohesive and pullout force vs. displacement response were determined for graphenes with different size. Hence as primary goal of this work, a parametric study using MD simulation was conducted for characterizing interfacial properties and elastic constants with different NGS aspect rations and volume fractions. The MD simulation results show reasonable agreement with available published data in the literature.

cond-mat.mtrl-sci↗
arXiv2011

Electromagnetic PIC simulation with highly enhanced energy conservation

We have obtained an electromagnetic PIC (EM-PIC) algorithm based on time-space-extended particle in cell model. In this model particles are shaped objects extended over time and space around Lagrangian markers. Sources carried by these particles are weighted completely into centers and faces of time-space cells of simulation-domain. Weighting method is resulted from implication of conservation of charge of shaped particles. By solving Maxwell's equations over source free zones of simulation grid we reduce solution of these equations to finding field values at nods of this grid. Major source of error in this model (and albeit other PIC models) is identified to be mismatching of particle marker location and location of its assigned sources in time and space. Relation of leapfrog scheme for integration of equations of motion with this discrepancy is investigated by evaluation of violation of energy conservation. We come in conclusion that instead of leapfrog we should integrate equations of motion simultaneously. Though equation of particle momentum becomes time implicit, we can solve it using a corrector-predictor method. In this way we obtain excellent improvement in energy conservation compared to existing leapfrog electromagnetic models. The developed theory is tested against results of our two dimensional EM-PIC code.

physics.plasm-ph↗
arXiv2012

Hamiltonian description and traveling waves of the spatial Dysthe equations

The spatial version of the fourth-order Dysthe equations describe the evolution of weakly nonlinear narrowband wave trains in deep waters. For unidirectional waves, the hidden Hamiltonian structure and new invariants are unveiled by means of a gauge transformation to a new canonical form of the evolution equations. A highly accurate Fourier-type spectral scheme is developed to solve for the equations and validate the new conservation laws, which are satisfied up to machine precision. Further, traveling waves are numerically investigated using the Petviashvili method. It is found that their collision appears inelastic, suggesting the non-integrability of the Dysthe equations.

physics.class-ph↗
arXiv2011

Cicada: a Heavy but Agile Flyer

"Cicada: a Heavy but Agile Flyer" is a fluid dynamic video submitted to Gallery of Fluid Motion in APS-DFD 2011. Comparing to other insects, cicadas can generate much higher lift to overcome their large body weight. The hidden mechanism may help in designing a Micro Air Vehicle (MAV) to carry large payloads. However, it is lack of literatures in discussing how cicadas use their wings to accomplish various flights. In this work, a high-speed photogrammetry system and 3D surface reconstruction technology are used to reveal cicada wing kinematics and deformation during a freely forward flight. The aerodynamic performance is studied using in-house immerse boundary method based Computational Fluid Dynamics(CFD) solver.

physics.flu-dyn↗
arXiv2011

Polarization and polarization induced electric field in nitrides - critical evaluation based on DFT studies

Density Functional Theory (DFT) calculations were used to evaluate polarity of group III nitrides, such as aluminum nitride (AlN), gallium nitride (GaN) and indium nitride (InN) providing physically sound quantitative measure of polarity of these materials. Two different approaches to polarization of nitride semiconductors were assessed and the conclusions have been used to develop models. It was shown that Berry phase formulation of the electron related polarization component provides a number of various solutions, different for various selection of the simulated volume. The electronic part gives saw-like pattern for polarization. A total number of these solutions, related to well known scaling of the geometric phase, is equal to the number of valence electrons in the system. Summation with similar pattern for ionic part provides several polarization values. Standard dipole density formulation depends on the selection of the simulation volume in periodic continuous way. Using a condition of continuous embedding into the infinite medium, and simultaneously, the zero surface charge representation at crystal boundary provides to physically sound solution. This solution is corresponding to maximal and minimal polarization values and also corresponds to different physical termination of the crystal surfaces, either bare or covered by complementary atoms. This change leads to polarization and electric field reversal. The polarization and related fields in finite size systems were obtained.

cond-mat.mes-hall↗
arXiv2011

Quantum Entanglement Phase Transition in Werner State

An extension to computational mechanics complexity measure is proposed in order to tackle quantum states complexity quantification. The method is applicable to any $n-$partite state of qudits through some simple modifications. A Werner state was considered to test this approach. The results show that it undergoes a phase transition between entangled and separable versions of itself. Also, results suggest interplay between quantum state complexity robustness rise and entanglement. Finally, only via symbolic dynamics statistical analysis, the proposed method was able to distinguish separable and entangled dynamical structural differences.

physics.comp-ph↗
arXiv2011

Towards an Effective Importance Sampling in Monte Carlo Simulations of a System with a Complex Action

The sign problem is a notorious problem, which occurs in Monte Carlo simulations of a system with a partition function whose integrand is not positive. One way to simulate such a system is to use the factorization method where one enforces sampling in the part of the configuration space which gives important contribution to the partition function. This is accomplished by using constraints on some observables chosen appropriately and minimizing the free energy associated with their joint distribution functions. These observables are maximally correlated with the complex phase. Observables not in this set essentially decouple from the phase and can be calculated without the sign problem in the corresponding "microcanonical" ensemble. These ideas are applied on a simple matrix model with very strong sign problem and the results are found to be consistent with analytic calculations using the Gaussian Expansion Method.

hep-lat↗