在辐射阻尼存在下有效横向弛豫时间T*2的快速测定

利用CPMG自旋回波技术,通过一连串180°脉冲抑制辐射阻尼效应,让磁化矢量经过横向弛豫T₂过程大幅度衰减后再检测回波信号的线宽,该方法可直接获得有效横向弛豫时间T*₂,并可在CPMG测试T₂值的同时进行. 另外,当饱和恢复法用于估计T*₂值时,信号检测必须使用小角度脉冲.所有结果已进行了实验验证.     

Time and amplitude dependences of the damping decrement and shear modulus upon irreversible structural relaxation in a Zr-Cu-Ni-Al-Ti bulk metallic glass

The time dependences of the irreversible relaxation of the damping decrement and the shear modulus of a Zr_52.5Ti₅Cu_17.9Ni_14.6Al₁₀ bulk metallic glass are investigated using an inverse torsion pendulum in the range from room temperature to ～650 K. The spectrum of activation energies of irreversible structural relaxation is evaluated from the results obtained. Analysis of the amplitude dependences of the damping decrement and the shear modulus allows the conclusion that the relaxation centers responsible for the amplitude dependence differ from those associated with the irreversible structural relaxation at temperatures below and in the vicinity of the glass transition point.     

Coupling of the relaxation and resonant elements in the autonomous chaotic relaxation oscillator (ACRO)

If a harmonic oscillator is embedded in a relaxation oscillator, the resulting system may behave like an autonomous chaotic relaxation oscillator (ACRO). The discharge transient of the relaxation oscillator excites sinusoidal oscillations in the harmonic oscillator and these sinusoids affect when the next discharge occurs. This can lead to chaotic intervals in the oscillator periods. A simple electronic model of the ACRO is studied over a wide range of parameters using numerical, analytic, and experimental techniques. The dynamics of the ACRO is found to be determined by three parameters: (1) tuning, (2) coupling, and (3) damping. Complex, intermittent outputs can always be inhibited by increasing the damping of the harmonic oscillator. For weak damping, strong coupling yields chaotic periods. With weak damping and weak coupling, complex behavior only occurs if the relaxation oscillator is tuned near a resonance of the harmonic oscillator. A new path to chaos, called a disruption bifurcation, is the source for intermittency in the ACRO. This bifurcation occurs when the amplitude of internal resonances is excited to the degree that existing limit cycles are disrupted.     

Effects of damping constant on gyrotropic motion and switching of vortex core in permalloy disk

We investigate the influence of damping constant on the dynamics process of the magnetic vortex in submicron-size permalloy disks by micromagnetic simulations and analytical calculations. Both of them reveal that damping constant influences the trajectory of vortex core gyrotropic motion strongly. Comparing with the case of no damping constant, the steady-state trajectory of vortex core motion becomes ellipse as the amplitude of the oscillating magnetic filed is small. The ellipse becomes more slab-sided and tilting with increasing of damping constant, and the tilting direction is also dependent on the vortex core polarization. As the amplitude of the magnetic field increases to a value, the polarization of the vortex core will reverse and a new vortex with opposite polarization will be produced. With increasing of damping constant, the minimum oscillating magnetic field amplitude H_S0 that can reverse the polarization of the vortex core increases proportionally.     

Oscillations of the density of atoms in the vicinity of symmetrical grain boundaries in metals

Oscillatory atomic relaxation in symmetrical grain boundaries in metals is investigated by molecular-dynamics methods. It is found that the density of atoms varies nonmonotonically in various metastable grain boundaries and that the amplitude, period, and character of damping of the oscillations are virtually the same in these boundaries. A continuum model is proposed for surface layer deformation produced by linear distributed forces and is shown to adequately describe oscillatory grain-boundary relaxation.     

Nonlinear wave damping on an electron hole in a weakly inhomogeneous plasma

Nonlinear damping of the Langmuir wave in a weakly inhomogeneous plasma with a negative concentration gradient is considered. For phase velocities close to the thermal velocity of electrons, their dispersion strongly differs from the linear one and cannot be taken into account by means of a small correction to the linear dispersion law. Based on the energy balance and nonlinear dispersion equations, a dependence of the wave amplitude on its phase velocity is established together with the limiting phase velocity at which the wave is completely damped.     

Innere Reibung durch Mitschleppen von Punktfehlern. II

The internal friction caused by dragging of mobile point defects is examined for the case of strong point defect dislocation interaction. For the amplitude independent internal friction and for the amplitude dependent internal friction with low point defect concentration this yields qualitatively the same results as the opposite case of weak interaction. For large point defect concentration there is an additional damping by hysteresis.     

Method for theoretical description of dynamic processes in heterogeneous media

We describe a multivelocity model of a heterogeneous medium taking into account heat conduction, heat transfer, and friction between the component and their stress relaxation. The dependence of the velocity of sound in suspensions on the volume fraction and size of inclusions is analyzed numerically. It is shown that the amplitude of the stress wave propagating in the suspension, as well as its width and damping, is determined by the volume fraction and size of particles. The simulation of the effect of the striker on the solid composite gives the values of stress amplitude for collisions inducing no chemical reactions, which coincide with experimental values.     

Using the Relaxation Oscillations Principle for Simple Phonation Modeling

Well-known multimass models of vocal folds are useful to describe main behavior observed in human voicing but their principle of functioning, based on harmonic oscillation, may appear complex. This work is designed to show that a simple one-mass model ruled by laws of relaxation oscillation can also depict main behavior of glottis dynamic. Theory of relaxation oscillation is detailed. A relaxation oscillation model is assessed through a numerical simulation using conventional values for tissue characteristics and subglottal pressure. As expected, raising the mass decreases the fundamental frequency and increases the amplitude of vocal fold vibration: for a mass ranging from 0.01 to 0.4 g, F0 decreased from 297.5 to 42.5 Hz and vibrational amplitude increased from 1.26 to 3.25 mm (for stiffness k=10Nm(-1), damping r=0.015 N s m(-1), and subglottal pressure=1 kPa). Stiffness value has the opposite effect. The subglottal pressure controls the fundamental frequency with a rate ranging from 20 to 50 Hz/kPa. The vibrational amplitude is also controlled linearly by subglottal pressure from 0.22 to 0.26 mm/kPa. The range of phonation threshold pressure (PTP) is close to the values currently proposed, that is, 0.1 to 1 kPa and varies with the fundamental frequency. The relaxation oscillator is a simple and useful tool for modeling vocal fold vibration.     

The modulation instability revisited

The modulational instability (or “Benjamin-Feir instability”) has been a fundamental principle of nonlinear wave propagation in systems without dissipation ever since it was discovered in the 1960s. It is often identified as a mechanism by which energy spreads from one dominant Fourier mode to neighboring modes. In recent work, we have explored how damping affects this instability, both mathematically and experimentally. Mathematically, the modulational instability changes fundamentally in the presence of damping: for waves of small or moderate amplitude, damping (of the right kind) stabilizes the instability. Experimentally, we observe wavetrains of small or moderate amplitude that are stable within the lengths of our wavetanks, and we find that the damped theory predicts the evolution of these wavetrains much more accurately than earlier theories. For waves of larger amplitude, neither the standard (undamped) theory nor the damped theory is accurate, because frequency downshifting affects the evolution in ways that are still poorly understood.     

The NSW interaction with nuclear local modes in antiferromagnets

The nuclear spin wave (NSW) relaxation rates due to the interaction with nuclear impurity local modes (NILM) in antiferromagnets are considered in the framework of the Keldysh formalism based on the spin operator diagram technique. It is shown that the NSW relaxation frequency due to the scattering on the fluctuations of impurity nuclear spins is of resonance character. The NSW damping due to the resonance absorption by NILM depends strongly on the NSW amplitude N, which accounts for the “hard” excitation of NSW's in parallel pumping experiments /6/. The NSW relaxation rates due to the processes involving two NSW's and one impurity nuclear excitation are also calculated.     

Relaxation of probability characteristics of the brownian motion of a nonlinear oscillator

We consider an oscillator with nonlinear elasticity and nonlinear damping under the action of a Gaussian delta-correlated random force. The oscillator is treated as a Brownian particle in the corresponding potential profile. We analyze the problem using the analytical-numerical method based on solving the chain of differential equations for the statistical moments, which is broken in a certain manner. For the case of nonlinear elasticity, we find the dependence of the relaxation times of the mean values and variances of both the coordinates and velocities on the system parameters and noise intensity. By analogy, the relaxation of the probability characteristics of the oscillation amplitude is studied for a system with nonlinear damping. In both cases, the evolution of the Gaussian or Rayleigh probability distributions is described on the basis of the moment relaxation. Nizhny Novgorod Architectural and Construction University, Nizhny Novgorod, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 43, No. 4, pp. 468–478, September, 2000.     

Time correlation functions and spectral distributions of the duffing oscillator in a random force field

The Brownian motion of the Duffing oscillator is analyzed in the case when the oscillator damping is small compared with its frequency, whereas the nonlinearity may be arbitrary. The expressions for the time-correlation functions of coordinates are obtained in an explicit form. If the nonlinearity is small, the dynamics of the system is shown to be determined by a relation between the frequency straggling due to fluctuations of the amplitude and damping. At large nonlinearity the correlators do not depend on the damping. The frequency dependences of the spectral representations of the correlators of coordinates are investigated for various ratios between the oscillator parameters.     

Self-consistent treatment of the polaron damping in the Holstein model

Using the Holstein model, the damping of the localized polaron state and the small polaron conductivity are represented by the series of contributions from the multiphonon processes in which the polaron damping is taken into account. The self-consistent treatment of the damping shows the enhancement of the small-polaron relaxation rate by the quantum fluctuations of the lattice corresponding to the energy non-conserving phonon processes. The conditions for the polaron localization as well as the dependence of the d.c. conductivity on the electron transfer integral are discussed.     

Grain boundary relaxation in fine-grained magnesium solid solutions

Grain boundary relaxation at elevated temperatures in fine-grained pure magnesium and Mg–Al solid solutions was investigated by measuring damping capacity at low frequencies. A sharp increase in damping capacity caused by grain boundary relaxation was observed at above a certain temperature. The onset temperature depended on aluminum content; the onset temperature increased with aluminum content. It was demonstrated that aluminum was effective in suppressing grain boundary relaxation in magnesium alloys. However, additional measurement of the damping capacity of a dilute Mg–Y alloy revealed that yttrium was more effective in suppressing grain boundary relaxation.     

Vibrations of a system with memory,non-linear elasticity,friction and relaxation

The solution of a third-order non-linear differential equation with slowly varying coefficients and small time lag is found. This equation governs processes with significant damping, and an application is made to a mechanical vibrating system with non-linear elasticity, internal friction and relaxation.     

Distributions of switching times of single-domain particles using a time quantified Monte Carlo method

Using a time quantified Monte Carlo scheme we performed simulations of the switching time distribution of single mono-domain particles in the Stoner–Wohlfarth approximation. We considered uniaxial anisotropy and different conditions for the external applied field. The results obtained show the switching time distribution can be well described by two relaxation times, either when the applied field is parallel to the easy axis or for an oblique external field and a larger damping constant. We found that in the low barrier limit these relaxation times are in very good agreement with analytical results obtained from solutions of the Fokker–Planck equation related to this problem. When the damping is small and the applied field is oblique the shape of the distribution curves shows several peaks and resonance effects.     

Surface pressure anisotropy and complex relaxation of silica nanoparticle monolayer at the air-water interface

We report the anisotropy effect and the relaxation dynamics of surface pressure of silica nanoparticle monolayer at the air-water interface. The anisotropy of surface pressure occurs when the water surface is fully covered by particles and becomes more prominent with the increase of surface concentration. Hence, the conception of surface tensor was proposed to characterize the monolayer properties. The dynamics of pressure relaxation involves three timescales which are related to the damping of surface fluc...     

Internal modes of solitons in media with a saturable nonlinearity of the refractive index

The theoretical analysis and calculation of internal modes (eigenmodes of small perturbations) of 1D, 2D, and 3D optical solitons in transparent media with a saturable nonlinearity of the refractive index are performed. Corrections that are nonlinear in the amplitude of perturbations and lead to the radiative damping of internal modes are found. The damping is shown to become weaker with increasing dimensionality of a solition.     

Critical anomaly in the electron spin-lattice relaxation at the ferroelectric phase transition of X-irradiated KDA

The spin-lattice relaxation of X-irradiated ferroelectric KDA has been investigated by means of the electron spin-echo method in the range between 2 and 200 K. In the vicinity of the phase transition point an anomalous increase of T₁ has been observed. This effect could not be detected for KDA-KDP mixed crystals with a high concentration of KDP. The anomaly of the spin-lattice relaxation at the phase transition is explained by the increased damping of the “hard” optical mode which governs the relaxation behaviour at this temperature region.