Search results for " exponent"

A class of multivariate extreme value distributions with heterogeneous margins

2013

Many problems which involve applications of extreme value theory show an essential multivariate nature and recent development of the theory in this field deal with the construction of multivariate extreme value distributions. Owing to the nature of the problem under examination, extreme values to be analyzed jointly may have different limiting distributions, but it seems that explicit expressions of multivariate extreme value distributions with heterogeneous margins are not present in the literature. In this paper we consider the problem of constructing multivariate extreme value distributions with univariate marginal extreme value distributions not belonging or, more generally, not all bel…

Non-reversible Monte Carlo simulations of spin models

2011

Abstract Monte Carlo simulations are used to study simple systems where the underlying Markov chain satisfies the necessary condition of global balance but does not obey the more restrictive condition of detailed balance. Here, we show that non-reversible Markov chains can be set up that generate correct stationary distributions, but reduce or eliminate the diffusive motion in phase space typical of the usual Monte Carlo dynamics. Our approach is based on splitting the dynamics into a set of replicas with each replica representing a biased movement in reaction-coordinate space. This introduction of an additional bias in a given replica is compensated for by choosing an appropriate dynamics …

Depth profiles of hardening in lithium fluoride irradiated with swift58Ni ions

2004

The changes of hardness and dislocation formation in LiF crystals irradiated with 630-MeV 58Ni ions up to a dose of 20 MGy were studied by microindentation and dislocation etching techniques. Above the threshold fluence of 2 × 1010 ions/cm2, a marked effect of hardening, which is related mainly to damage processes in the track core, has been observed. Its magnitude depends on ion fluence and energy loss. To investigate the depth distribution of hardening, indentation tests on crystal cross sections cleaved parallel to ion flux were performed. It has been found that the hardness change along the ion path correlates with the ion energy loss and reaches the highest value at the Bragg maximum. …

Publisher’s Note: Strain hardening in liquid-particle suspensions [Phys. Rev. E72, 061402 (2005)]

2006

Strength distribution in paper

1998

Abstract Tensile strength distributions are studied in four paper samples that exhibit a variety of brittle-to-ductile properties. 1005 tensile specimens were measured in each case. The standard Gumbel and Weibull distributions, and a recently proposed double exponential modification of the former are compared with the observations visually and using chi-squared and Kolmogorov–Smirnov tests. The Gumbel distribution fails to fit the data while the Weibull distribution gives satisfactory agreement. However, the double exponential distribution fits the data best, regardless of the ductility of the material.

Signal Restoration via a Splitting Approach

2012

International audience; In the present study, a novel signal restoration method from noisy data samples is presented and is termed as "signal split (SSplit)" approach. The new method utilizes Stein unbiased risk estimate estimator to split the signal, the Lipschitz exponents to identify noise elements and a heuristic approach for the signal reconstruction. However, unlike many noise removal techniques, the present method works only in the non-orthogonal domain. Signal restoration was performed on each individual part by finding the best compromise between the data samples and the smoothing criteria. Statistical results are quite promising and suggest better performance than the conventional…

Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

2015

Abstract In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is considered. It is shown numerically that this system, like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic self-excited attractor. However, for the considered system, unlike the classical Lorenz system, along with self-excited attractor a hidden attractor can be localized. Analytical-numerical localization of hidden attractor is demonstrated.

Hidden Strange Nonchaotic Attractors

2021

In this paper, it is found numerically that the previously found hidden chaotic attractors of the Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic attractors. For a range of the bifurcation parameter, the hidden attractor is manifestly fractal with aperiodic dynamics, and even the finite-time largest Lyapunov exponent, a measure of trajectory separation with nearby initial conditions, is negative. To verify these characteristics numerically, the finite-time Lyapunov exponents, ‘0-1’ test, power spectra density, and recurrence plot are used. Beside the considered hidden strange nonchaotic attractor, a self-excited chaotic attractor and a quasiperiodic at…

Sharp generalized Trudinger inequalities via truncation

2006

Abstract We prove that the generalized Trudinger inequalities into exponential and double exponential Orlicz spaces improve to inequalities on Orlicz–Lorentz spaces provided they are stable under truncation.

Potentials, Critical Exponents,and Gibbs Cocycles

2019

Let X be a geodesically complete proper CAT(–1) space, let x0 ∈ X be an arbitrary basepoint, and let Γ be a nonelementary discrete group of isometries of X.