Results 261 to 270 of about 1,057,083 (303)

Spin-Relaxation Functions

1997
The spin-relaxation functions are the time dependences of the observables one measures in relaxation experiments. A list of relaxation functions for typical measuring procedures is given in Table 10.1 on page 93.
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Relaxation function for the non-Debye relaxation spectra description

Chemical Physics, 2014
Abstract This study presents the new relaxation function describing the non-Debye relaxation phenomena. The relaxation function is based on a new theoretical model of the relaxation polarization. The non-Debye relaxation is explained with the model of nonlinear damped oscillator.
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Stress relaxation function of glass

Solid State Communications, 1971
It has been found by Douglas and others that the stress relaxation function of glass has the form S = S0 exp[ -(t/τ)α]. Simple phenomenological considerations, utilizing the theory of Brownian motion, can explain this law and yield proper values of α and τ.
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Rounded stretched exponential for time relaxation functions

The Journal of Chemical Physics, 2009
A rounded stretched exponential function is introduced, C(t)=exp{(τ0/τE)β[1−(1+(t/τ0)2)β/2]}, where t is time, and τ0 and τE are two relaxation times. This expression can be used to represent the relaxation function of many real dynamical processes, as at long times, t⪢τ0, the function converges to a stretched exponential with normalizing relaxation ...
J G, Powles, D M, Heyes, G, Rickayzen, W A B, Evans   +3 more
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Dielectric relaxation functions and models

Journal of Applied Physics, 1990
The dielectric relaxation function is defined as the transient current generated by the application of a unit voltage. In analogy with viscoelasticity, a second relaxation function can be defined as the transient voltage generated by the application of a unit current.
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Multiscale relaxation of convex functionals

2003
Summary: The \(\Gamma\)-limit of a family of functionals \[ u\mapsto \int_\Omega f\Biggl({x\over\varepsilon}, {x\over \varepsilon^2}, D^su\Biggr)\,dx \] is obtained for \(s= 1,2\) and when the integrand \(f= f(x,y,v)\) is a continuous function, periodic in \(x\) and \(y\), and convex with respect to \(v\). The 3-scale limits of second-order derivatives
FONSECA I., ZAPPALE, ELVIRA
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RELAXATION OF FUNCTIONALS INVOLVING HOMOGENEOUS FUNCTIONS AND INVARIANCE OF ENVELOPES

Chinese Annals of Mathematics, 2002
It is well known that minimization problems involving functionals of the type : \(I\left( u\right) =\int_{\Omega }W\left( \nabla u\right) dx\) do not have solutions in the general case, that is without assumptions on \(W\) which imply the weak lower semicontinuity of \(I\) on appropriate Sobolev spaces.
Bousselsal, M., Le Dret, H.
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Relaxation methods of minimization of pseudoconvex functions

Journal of Soviet Mathematics, 1989
See the preview in Zbl 0501.65025.
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Classification of relaxation processes. Generalized equation yielding new relaxation functions

Journal of Physics and Chemistry of Solids, 2020
Abstract Presently the relaxation is mainly an empirical field of science. Despite the availability of microscopic theoretical models, in practice, the relaxation phenomena are generally described by a few empirical relaxation functions. In the present paper, the author generalizes the most known relaxation functions describing the relaxation ...
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New relaxations for composite functions

2019
Mixed-integer nonlinear programs are typically solved using branch-and-bound algorithms. A key determinant of the success of such methods is their ability to construct tight and tractable relaxations. The predominant relaxation strategy used by most state-of-the-art solvers is the factorable programming technique.
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