Small deformations of a viscoelastic body are considered through the linear Maxwell and Kelvin-Voigt models in the quasi-static equilibrium. A robust mixed finite element method, enforcing the symmetry of the stress tensor weakly, is proposed for these equations on simplicial tessellations in two and three dimensions. A priori error estimates are derived and numerical experiments presented. The...

We show that coherent anti-Stokes Raman lineshapes do not follow known spectral profiles if the time asymmetry of realistic laser pulses is taken into account. Examples are given for nanosecond and picosecond laser pulses commonly employed in frequency-resolved coherent anti-Stokes Raman scattering. More remarkably, the analysis suggests an effect of line narrowing in comparison to the customar...

The linear viscoelastic behaviors of single semiflexible chains with internal friction are studied based on the wormlike-chain model. It is shown that the frequency dependence of the complex compliance in the high frequency limit is the same as that of the Voigt model. This asymptotic behavior appears also for the Rouse model with internal friction. We derive the characteristic times for both t...

mentum effects. It may be that we shall be dtiven to assume that the electron here functions as a dipole (magnetic), evidence for which has already been given by Compton, and that when moving in different directions in the non-isotropic force field of a crystal it assumes different orientations. 1 W. Voigt, Lehrbuch der Krystallphysik, Teubner, Leipzig, 1910, p. 369. 2 W. Thomson, Edin. Proc., ...

For accurate line-by-line modeling of molecular cross sections several physical processes “beyond Voigt” have to be considered. the speed-dependent Voigt and Rautian profiles (SDV, SDR) Hartmann-Tran profile difference w(iz−)−w(iz+) two complex error functions (essentially functions) has evaluated where function arguments z ± are given by sum square roots. These terms describing can huge defaul...

This work presents a method of computing Voigt functions and their derivatives, to high accuracy, on a uniform grid. It is based on an adaptation of Fourier-transform based convolution. The relative error of the result decreases as the fourth power of the computational effort. Because of its use of highly vectorizable operations for its core, it can be implemented very efficiently in scripting ...