Zirconium alloys are widely used as the fuel cladding material in pressurised water reactors, accumulating a significant population of defects and dislocations from exposure to neutrons. We present interpret synchrotron microbeam X-ray diffraction measurements proton-irradiated Zircaloy-4, where we identify transient peak subsequent saturation dislocation density function exposure. This is expl...

different discrete models of population dynamics of certain insects have been investigated under various feasible conditions within the framework of nonlinear dynamics. evolutionary phenomena are discussed through bifurcation analysis leading to chaos. some tools of nonlinear dynamics, such as lyapunov characteristic exponents (lce), lyapunov numbers, correlation dimension, etc. are calculated ...

‎given an integer $n$‎, ‎we denote by $mathfrak b_n$ and $mathfrak c_n$ the classes of all groups $g$ for which the map $phi_{n}:gmapsto g^n$ is a monomorphism and an epimorphism of $g$‎, ‎respectively‎. ‎in this paper we give a characterization for groups in $mathfrak b_n$ and for groups in $mathfrak c_n$‎. ‎we also obtain an arithmetic description of the set of all integers $n$ such that a gr...

We find a bound for the exponent of the Schur multiplier of a finite p-group in terms of the exponent and Engel length of the given group. It is also proved that if G is a 3-Engel group of finite exponent, then the exponent of H2(G) divides exp G. When G is a 4-Engel group of exponent e, the exponent of H2(G) divides 10e.

Abstract Archie’s parameters, cementation factor ( m ), saturation exponent n ) and tortuosity a are general that have effects on water magnitude, due to their sensitivity pores distribution, lithofacies properties wettability, particularly in carbonate reservoirs. Water magnitude has direct effect estimating initial oil-in-place values, inaccuracy its values will lead huge impact errors so it ...

In this paper, we study the Krylov complexity (K) from planar/inflationary patch of de Sitter space using two mode squeezed state formalism in presence an effective field having sound speed c s $c_s$ . From our analysis, obtain explicit behavior and lancoz coefficients ( b n $b_n$ ) with respect to conformal time scale factor Since grow linearly integer n, suggests that universe acts like a cha...

We study the stability of amorphous solids, focussing on the distribution P (x) of the local stress increase x that would lead to an instability. We argue that this distribution behaves as P (x) ∼ x, where the exponent θ is larger than zero if the elastic interaction between rearranging regions is non-monotonic, and increases with the interaction range. For a class of finite-dimensional models ...

The Hurst Exponent is a dimensionless estimator for the self-similarity of a time series. Initially defined by Harold Edwin Hurst to develop a law for regularities of the Nile water level, it now has applications in medicine and finance. Meaningful values are in the range [0, 1]. Different methods for estimating the Hurst Exponent have been evaluated: The classical “Rescaled Range” method devel...

Primitive digraphs on n vertices with exponents at least b!n=2c + 2, where !n = (n 1) + 1, are considered. For n 3, all such digraphs containing a Hamilton cycle are characterized; and for n 6, all such digraphs containing a cycle of length n 1 are characterized. Each eigenvalue of any stochastic matrix having a digraph in one of these two classes is proved to be geometrically simple.