Domain walls in random media driven by AC fields

2002 ◽  
Vol 12 (9) ◽  
pp. 275-275
Author(s):  
A. Glatz ◽  
T. Nattermann ◽  
V. Pokr vsky

The viscous motion of an interface driven by an ac external field of frequency $\omega_0$ in a random medium is considered here for the first time. The velocity exhibits a smeared depinning transition showing a double hysteresis which is absent in the adiabatic case $\omega_0 \rightarrow 0$. Using scaling arguments and an approximate renormalization group calculation we explain the main characteristics of the hysteresis loop. In the low frequency limit these can be expressed in terms of the depinning threshold and the critical exponents of the adiabatic case.

Geophysics ◽  
2000 ◽  
Vol 65 (6) ◽  
pp. 1837-1850 ◽  
Author(s):  
N. Gold ◽  
S. A. Shapiro ◽  
S. Bojinski ◽  
T. M. Müller

For complex heterogeneous models, smoothing is often required for imaging or forward modeling, e.g., ray tracing. Common smoothing methods average the slowness or squared slowness. However, these methods are unable to account for the difference between scattering caused by fluctuations of the different elastic moduli and density. Here, we derive a new smoothing method that properly accounts for all of the parameters of an isotropic elastic medium. We treat the geophysical problem of optimum smoothing of heterogeneous elastic media as a problem of moving‐window upscaling of elastic media. In seismology, upscaling a volume of a heterogeneous medium means replacing it with a volume of a homogeneous medium. In the low‐frequency limit, this replacement should leave the propagating seismic wavefield approximately unchanged. A rigorous approach to upscaling is given by homogenization theory. For randomly heterogeneous models, it is possible to reduce the problem of homogenization to calculating the coherent wavefield (mean field) in the low‐frequency limit. After deriving analytical expressions for the coherent wavefield in weakly heterogeneous and statistically isotropic random media, we obtain a smoothing algorithm. We apply this algorithm to random media and to deterministic models. The smoothing algorithm is frequency dependent, i.e., for different dominant frequencies, different smooth versions of the same medium should be considered. Several numerical examples using finite differences demonstrate the advantages of our approach over common smoothing schemes. In addition, using a numerical eikonal equation solver we show that, in the case of complex heterogeneous media, appropriate initial smoothing is important for high‐frequency modeling.


1971 ◽  
Vol 36 (4) ◽  
pp. 527-537 ◽  
Author(s):  
Norman P. Erber

Two types of special hearing aid have been developed recently to improve the reception of speech by profoundly deaf children. In a different way, each special system provides greater low-frequency acoustic stimulation to deaf ears than does a conventional hearing aid. One of the devices extends the low-frequency limit of amplification; the other shifts high-frequency energy to a lower frequency range. In general, previous evaluations of these special hearing aids have obtained inconsistent or inconclusive results. This paper reviews most of the published research on the use of special hearing aids by deaf children, summarizes several unpublished studies, and suggests a set of guidelines for future evaluations of special and conventional amplification systems.


2001 ◽  
Vol 674 ◽  
Author(s):  
M.I. Rosales ◽  
H. Montiel ◽  
R. Valenzuela

ABSTRACTAn investigation of the frequency behavior of polycrystalline ferrites is presented. It is shown that the low frequency dispersion (f < 10 MHz) of permeability is associated with the bulging of pinned domain walls, and has a mixed resonance-relaxation character, closer to the latter. It is also shown that there is a linear relationship between the magnetocrystalline anisotropy constant, K1, and the relaxation frequency. The slope of this correlation depends on the grain size. Such a relationship could allow the determination of this basic parameter from polycrystalline samples.


2012 ◽  
Vol 1404 ◽  
Author(s):  
A.A. Maznev

ABSTRACTThe onset of size effects in phonon-mediated thermal transport along a thin film at temperatures comparable or greater than the Debye temperature is analyzed theoretically. Assuming a quadratic frequency dependence of phonon relaxation rates in the low-frequency limit, a simple closed-form formula for the reduction of the in-plane thermal conductivity of thin films is derived. The effect scales as the square root of the film thickness, which leads to the prediction of measurable size-effects even at “macroscopic” distances ~100 μm. However, this prediction needs to be corrected to account for the deviation from the ω−2 dependence of phonon lifetimes at sub-THz frequencies due to the transition from Landau-Rumer to Akhiezer mechanism of phonon dissipation.


1996 ◽  
Vol 14 (3) ◽  
pp. 304-308 ◽  
Author(s):  
P. Axelsson ◽  
J. Larsson ◽  
L. Stenflo

Abstract. The resonant interaction between three acoustic gravity waves is considered. We improve on the results of previous authors and write the new coupling coefficients in a symmetric form. Particular attention is paid to the low-frequency limit.


2015 ◽  
Vol 233-234 ◽  
pp. 55-59
Author(s):  
Marina Kirman ◽  
Artem Talantsev ◽  
Roman Morgunov

The magnetization dynamics of metal-organic crystals has been studied in low frequency AC magnetic field. Four modes of domain wall motion (Debye relaxation, creep, slide and over - barrier motion (switching)) were distinguished in [MnII(H(R/S)-pn)(H2O)] [MnIII(CN)6]⋅2H2O crystals. Debye relaxation and creep of the domain walls are sensitive to Peierls relief configuration controlled by crystal lattice chirality. Structural defects and periodical Peierls potential compete in the damping of the domain walls. Driving factor of this competition is ratio of the domain wall width to the crystal lattice parameter.


Author(s):  
L. I. Menegbo ◽  
J. L. Konne ◽  
N. Boisa

The Electrochemical Impedance Spectroscopy (EIS) measurements of Sol-gel synthesized ZnO, CuO and their respective hydrogenated phases (ZnO:H and CuO:H) for  a proton-type battery model has been reported for the first time. The XRD patterns confirmed that CuO and ZnO were phase pure with minor impurities. However, that of CuO:H showed mixed phases of CuO and Cu2O with the later  appearing prominent. The estimated particle sizes of ZnO, ZnO:H, CuO and CuO:H obtained using Scherrers’ equation were 17.83, 17.75, 21.63 and 15.42 nm respectively, showing remarkable particle size reductions upon hydrogenation as oxygen vacancies were substituted with smaller hydrogen ions. Nyquist plots from the EIS experimental data recorded over a frequency range of 100 kHz – 5 mHz showed expected flat semicircles at the high frequency region and straight lines at the low frequency regions while resistance estimations from the intercepts of the Bode plots were 12.10, 7.80, 16.00 and 10.80 Ω for ZnO, ZnO:H, CuO and CuO:H respectively. It also indicated high gain margins suggesting impressive electrochemical properties for battery applications.


1986 ◽  
Vol 35 (10) ◽  
pp. 1378
Author(s):  
Zhen Wen-guang ◽  
Zhang Jin-xiu ◽  
Lin Hao-qing ◽  
He Zhen-hui ◽  
Yao Yi-fa

2018 ◽  
Vol 24 (4) ◽  
pp. 1103-1115 ◽  
Author(s):  
Dong Zhao ◽  
Ying Liu

In this paper, the transverse wave dispersion in a nematic elastomer (NE) Timoshenko beam is studied by considering anisotropy and viscoelasticity of NEs in the low frequency limit. Firstly, the characteristic equations of wave motion in an NE beam are derived, and then numerically solved to obtain the corresponding phase velocities and attenuation factors. The influences of anisotropic parameter, director rotation and rubber relaxation times on the wave dispersion in an NE beam are discussed. Results show that unlike the situation in general isotropic viscoelastic beam, non-classical viscoelastic wave dispersion is found in NE beams. Geometric dispersion is restrained with the vanishing of cut-off frequencies for shear waves due to director rotation relaxation of NEs. This unique property promises prospective applications of NE beams in optic or acoustic design.


Sign in / Sign up

Export Citation Format

Share Document