On a barrier anti-Zeno effect in a special model allowing for an analytical solution

2017 ◽  
Vol 31 (11) ◽  
pp. 1750069 ◽  
Author(s):  
V. A. Namiot ◽  
L. Yu. Shchurova
Keyword(s):  
Analytical Solution ◽  
Analytic Solution ◽  
Cold Fusion ◽  
Tunneling Probability ◽  
Particle Flow ◽  
Special Shape ◽  
Barrier Permeability ◽  
Special Model ◽  
Zeno Effect ◽  
Paradoxical Results

We consider a situation when observations can increase particle flow across a barrier by many orders of magnitude compared with the tunneling probability (a barrier anti-Zeno effect). It may be of interest for explaining the paradoxical results of experiments on “cold fusion” that has earlier been observed by other authors for various systems. We examine the anti-Zeno effect in a model of a barrier of a special shape, which has similarities with the form of barriers to nuclear fusion in a solid, and moreover has an analytic solution. We have deducted formulas that demonstrate the conditions of increasing the barrier permeability.

scholarly journals Analytic solution of Stokes second problem for second-grade fluid

2006 ◽  
Vol 2006 ◽  
pp. 1-8 ◽  
Author(s):  
S. Asghar ◽  
S. Nadeem ◽  
K. Hanif ◽  
T. Hayat
Keyword(s):  
Analytical Solution ◽  
Laplace Transformation ◽  
Material Parameter ◽  
Analytic Solution ◽  
Second Grade ◽  
Perturbation Techniques ◽  
Second Grade Fluid ◽  
Transient Solutions ◽  
Grade Fluid ◽  
Stokes Second Problem

Using Laplace transformation and perturbation techniques, analytical solution is obtained for unsteady Stokes' second problem. Expressions for steady and transient solutions are explicitly determined. These solutions depend strongly upon the material parameter of second-grade fluid. It is shown that phase velocity decreases by increasing material parameter of second-grade fluid.

scholarly journals Analytical Solution of Tank Drainage for Electrically Conducting Power Law Fluid

2018 ◽  
Author(s):  
Saeed Islam ◽  
Kamran Nazir Memon ◽  
Abdul Majeed Siddiqui ◽  
Syed Feroz Shah
Keyword(s):  
Analytical Solution ◽  
Velocity Profile ◽  
Power Law ◽  
Analytic Solution ◽  
Fluid Model ◽  
Power Law Fluid ◽  
Special Effects ◽  
Electrically Conducting ◽  
Proposed Model ◽  
Drainage Problem

This paper investigates the tank drainage problem of an isothermal, unsteady, incompressible electrically conducting Power law fluid. Analytic solution have been obtained from governing continuity and momentum equations subject to appropriate boundary conditions by using Perturbation method. The Power law fluid model solution without MHD is retrieved from this proposed model on substitution . Declaration on behalf of velocity profile, volume flux, average velocity, connection of time with respect to length of the tank and requirement of time for whole drainage of fluid are acquired. Special effects of numerous emerging parameter’s on velocity profile vz and depth of the fluid in the tank are graphically presented. Keywords: Tank drainage, Power law MHD fluid, Analytical solution.

An Alternative Approach to Obtaining an Analytical Solution to Dujmovic’s Iterative OWA

2018 ◽  
Vol 26 (02) ◽  
pp. 261-267
Author(s):  
Byeong Seok Ahn
Keyword(s):  
Analytical Solution ◽  
Analytic Solution ◽  
Owa Operator ◽  
Higher Dimension ◽  
Closed Formula ◽  
Weighting Functions ◽  
Alternative Approach ◽  
The One

Troiano and Díaz presented the analytic solution to the iterative ordered weights averaging (ItOWA) operator weights. Their findings validate Dujmović and Larsen’s conjecture and profoundly contribute to the ItOWA operator due to the closed formula derived. This paper attempts to present another way of deriving the ItOWA operator weights based on other theories. Further, as iterative OWA performs repeated computations for a higher dimension, the orness of the resulting ItOWA operator weights is different from the one initially used in aggregating two input arguments. To resolve this unwanted situation, we suggest some weighting functions that generate the OWA operator weights having a property of constant orness irrespective of the number of input arguments.

scholarly journals Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Fei Xu ◽  
Yixian Gao ◽  
Weipeng Zhang
Keyword(s):  
Analytical Solution ◽  
Iterative Method ◽  
Fourth Order ◽  
Iterative Process ◽  
Boussinesq Equation ◽  
Analytic Solution ◽  
Boussinesq Equations ◽  
Sixth Order ◽  
Linear And Nonlinear

This paper is aimed at constructing analytical solution for both linear and nonlinear time-fractional Boussinesq equations by an iterative method. By the iterative process, we can obtain the analytic solution of the fourth-order time-fractional Boussinesq equation inR,R2, andRn, the sixth-order time-fractional Boussinesq equation, and the2nth-order time-fractional Boussinesq equation inR. Through these examples, it shows that the method is simple and effective.

scholarly journals Analytical Solution of the Time Fractional Fokker-Planck Equation

2014 ◽  
Vol 19 (2) ◽  
pp. 435-440 ◽  
Author(s):  
T. Sutradhar ◽  
B.K. Datta ◽  
R.K. Bera
Keyword(s):  
Analytical Solution ◽  
Present Method ◽  
Decomposition Method ◽  
Analytic Solution ◽  
Planck Equation ◽  
Approximate Analytic Solution ◽  
Adomian’S Decomposition Method ◽  
Fokker Planck Equation ◽  
Fokker Planck

Abstract A nonperturbative approximate analytic solution is derived for the time fractional Fokker-Planck (F-P) equation by using Adomian’s Decomposition Method (ADM). The solution is expressed in terms of Mittag- Leffler function. The present method performs extremely well in terms of accuracy, efficiency and simplicity.

scholarly journals Invariant approaches for the analytic solution of the stochastic Black-Derman toy model

2018 ◽  
Vol 22 (Suppl. 1) ◽  
pp. 265-275 ◽  
Author(s):  
Burhaneddin Izgi ◽  
Ahmet Bakkaloglu
Keyword(s):  
Interest Rate ◽  
Analytical Solution ◽  
Canonical Form ◽  
Analytic Solution ◽  
The Other ◽  
Canonical Forms ◽  
Rate Model ◽  
The Third ◽  
Linear Pde ◽  
Interest Rate Model

We work on the analytical solution of the stochastic differential equations (SDE) via invariant approaches. In particularly, we focus on the stochastic Black-Derman Toy (BDT) interest rate model, among others. After we present corresponding (1+1) parabolic linear PDE for BDT-SDE, we use theoretical framework about the invariant approaches for the (1+1) linear PDE being done in the literature. We show that it is not possible to reduce BDT-PDE into the first and second Lie canonical forms. On the other hand, we success to find transformations for reducing it to the third Lie canonical form. After that, we obtain analytical solution of BDT-PDE by using these transformations. Moreover, we conclude that it can be reduced to the fourth Lie canonical form but, to the best of our knowledge, its analytical solution in this form is hard to find yet.

Evaluation method for imaging plate resolution by means of phase contrast transfer function

1995 ◽  
Vol 53 ◽  
pp. 662-663 ◽  
Author(s):  
T. Oikawa ◽  
H. Kosugi ◽  
F. Hosokawa ◽  
D. Shindo ◽  
M. Kersker
Keyword(s):  
Transfer Function ◽  
Phase Contrast ◽  
Evaluation Method ◽  
Amorphous Film ◽  
Imaging Plate ◽  
X Rays ◽  
Special Shape ◽  
Contrast Transfer Function ◽  
Contrast Image ◽  
Specimen Shape

Evaluation of the resolution of the Imaging Plate (IP) has been attempted by some methods. An evaluation method for IP resolution, which is not influenced by hard X-rays at higher accelerating voltages, was proposed previously by the present authors. This method, however, requires truoblesome experimental preperations partly because specially synthesized hematite was used as a specimen, and partly because a special shape of the specimen was used as a standard image. In this paper, a convenient evaluation method which is not infuenced by the specimen shape and image direction, is newly proposed. In this method, phase contrast images of thin amorphous film are used.Several diffraction rings are obtained by the Fourier transformation of a phase contrast image of thin amorphous film, taken at a large under focus. The rings show the spatial-frequency spectrum corresponding to the phase contrast transfer function (PCTF). The envelope function is obtained by connecting the peak intensities of the rings. The evelope function is offten used for evaluation of the instrument, because the function shows the performance of the electron microscope (EM).

Field-assisted ionization theory for microscopists

1994 ◽  
Vol 52 ◽  
pp. 820-821
Author(s):  
Patrick P. Camus
Keyword(s):  
Electric Field ◽  
Electron Tunneling ◽  
Ionization Probability ◽  
Critical Distance ◽  
Tunneling Probability ◽  
Field Ionization ◽  
Radius Of Curvature ◽  
Field Evaporation ◽  
A Value ◽  
Ion Emission

The theory of field ion emission is the study of electron tunneling probability enhanced by the application of a high electric field. At subnanometer distances and kilovolt potentials, the probability of tunneling of electrons increases markedly. Field ionization of gas atoms produce atomic resolution images of the surface of the specimen, while field evaporation of surface atoms sections the specimen. Details of emission theory may be found in monographs.Field ionization (FI) is the phenomena whereby an electric field assists in the ionization of gas atoms via tunneling. The tunneling probability is a maximum at a critical distance above the surface,xc, Fig. 1. Energy is required to ionize the gas atom at xc, I, but at a value reduced by the appliedelectric field, xcFe, while energy is recovered by placing the electron in the specimen, φ. The highest ionization probability occurs for those regions on the specimen that have the highest local electric field. Those atoms which protrude from the average surfacehave the smallest radius of curvature, the highest field and therefore produce the highest ionizationprobability and brightest spots on the imaging screen, Fig. 2. This technique is called field ion microscopy (FIM).

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