Tristability and self-oscillations in a double resonator system

A system consisting of two coupled Fabry-Perot resonators, one of them nonlinear, with an additional feedback between them is studied experimentally and theoretically. The dependence between the phase shift δφ of the resonator 2 and the laser-induced thermal load Q applied to the resonator 1 is essentially nonlinear. This nonlinearity of the additional feedback in the double resonator system is shown to make possible its self-oscillations and the existence of the tristable 8-shaped hysteresis curves. The frequencies of the observed self-oscillations are in the range from 100 Hz to 100 kHz, their shapes varying from sinusoidal to square and sawtooth.     

An investigation of oscillating instabilities in deflagrations with edges

We examine the Lewis-number-greater-than-1 stability of a deflagration sitting on a porous-plug burner with an inert coflow. The flame edges generated by the coflow influence the stability, and this influence is examined. Very wide flames display the same stability characteristics as unbounded flames (flames sans edges), but for moderately wide flames the instability is suppressed. A new two-dimensional instability can occur for narrow flames. There is a range of mass fluxes for which a monotonic decrease in burner (flame) width generates a transition from unstable flames to stable flames, to unstable flames, to quenching. The insertion of a cold probe into the combustion field can stabilize an unstable flame or destabilize a stable flame, depending on the point of insertion.     

Properties of a two-beam laser diode and focusing characteristics of a two-beam optical head

Dynamic wavelength shifts of a monolithic, two-beam laser diode for a two-beam optical head in optical disk drives were analyzed with a streak camera system. The wavelength shift did not exceed 3 nm for the recording beam which was operated in a series of pulses, and the reproducing beam which was operated continuously showed no shift. The focusing characteristics on the basis of the wavelength shift and specifications of the optical head were also calculated. The dynamic displacement of the focal points caused by the wavelength shifts was so small as compared with the depth of focus in the optical head that the recording and reproducing characteristics were hardly influenced.     

Nonlinear structures and thermodynamic instabilities in a one-dimensional lattice system

The equilibrium states of the discrete Peyrard-Bishop Hamiltonian with one end fixed are computed exactly from the two-dimensional nonlinear Morse map. These exact nonlinear structures are interpreted as domain walls, interpolating between bound and unbound segments of the chain. Their free energy is calculated to leading order beyond the Gaussian approximation. Thermodynamic instabilities (e.g., DNA unzipping and/or thermal denaturation) can be understood in terms of domain wall formation.     

Vibronic instabilities in a system with nonrigid electron bands

The vibronic dynamical lattice destabilization of a gapped two-band system with moving upper band bottom is investigated in one, two and three dimensions. The second order electron energy renormalization leading to possible destabilization has been calculated for various characteristic physical dispositions. The position of the chemical potential in the upper band near the gap edge promotes the destabilization. The dimensionality of the system does not change the general trends in the behavior of the destabilization. However, in low dimensional cases the chemical potential entering the singularity in the density of states enhances the speed of destabilization rapidly.     

光学三稳态系统中的慢化现象

研究了光学三稳态系统的现两种慢性现象。一种是发生在两类临界点附近的慢化现象,计算出了它们的临界慢化指数,另一种远离临界点的慢怀现象,这是一种与稳工作点有关的慢化现象。本文的讨论具有一定的普适性。     

Cooper pair and electron-hole pair instabilities in a quasi-one dimensional system

We calculate for an almost half-filled tight-binding band, the mean field ground state energy differences between the charge-density-wave (CDW) and BCS paired states for a truncated model Hamiltonian with zero-range instantaneous electron-electron interactions. The CDW pairing is found to be always unstable vis-à-vis BCS for a static lattice distortion of wave vector Q = (2k_F, π, π).     

A two-beam interferometer for dispersive reflection spectroscopy of solids in the far infrared at temperatures between 4 and 300K

A Fourier spectrometer has been developed for determining the optical constants of highly absorbing solids in the far infrared at temperatures down to 4.2K from measurements of their amplitude and phase reflection spectra. The spectrometer has been constructed almost entirely from commercially available components, and its performance is illustrated with measurements of the optical constants of NaCl at 6K.     

Self-gravito-acoustic waves and their instabilities in a self-gravitating degenerate quantum plasma system

A self-gravitating degenerate quantum plasma (SGDQP) system containing degenerate electron and light nucleus species along with extremely low-dense heavy-nucleus species is considered. The existence of new degenerate pressure-driven self-gravito-acoustic (DPDSGA) waves in this SGDQP system is found, and their dispersion properties along with stable and unstable parametric regimes are identified. The DPDSGA waves emit from this SGDQP system due to the compression and rarefaction (and vice-versa) of the perturbed state of it. Its compression is due to the inward poll of degenerate electron and light nucleus species by the self-gravitational attractive pressures, whereas its rarefaction is due to the outward degenerate pressures exerted by the degenerate electron and light nucleus species. The DPDSGA waves are new because they completely disappear if the electron and light nucleus degeneracies are neglected. The DPDSGA waves exist in the SGDQP system that occurs in astrophysical compact objects like white dwarfs [H. M. Van Horn, Science 252 , 384 (1991); D. Koester, Astron. Astrophys. Rev. 11 , 33 (2002)].     

Two-state system in an oscillating field

We consider two states connected by two channels, one of which is activated but the other has no potential barrier. The height of the barrier is oscillating together with an external ac-field. We find that an external field shifts the average populations of the states and tends to equalize them. The steady-state flux circulates along the close circuit formed by these channels.     

Whirl and whip instabilities in rotor-bearing system considering a nonlinear force model

Linear models and synchronous response are generally adequate to describe and analyze rotors supported by hydrodynamic bearings. Hence, stiffness and damping coefficients can provide a good model for a wide range of situations. However, in some cases, this approach does not suffice to describe the dynamic behavior of the rotor-bearing system. Moreover, unstable motion occurs due to precessional orbits in the rotor-bearing system. This instability is called “oil whirl” or “oil whip”. The oil whirl phenomenon occurs when the journal bearings are lightly loaded and the shaft is whirling at a frequency close to one-half of rotor angular speed. When the angular speed of the rotor reaches approximately twice the natural frequency (first critical speed), the oil whip phenomenon occurs and remains even if the rotor angular speed increases. Its frequency and vibration mode correspond to the first critical speed. The main purpose of this paper is to validate a complete nonlinear solution to simulate the fluid-induced instability during run-up and run-down. A flexible rotor with a central disk under unbalanced excitation is modeled. A nonlinear hydrodynamic model is considered for short bearing and laminar flow. The effects of unbalance, journal-bearing parameters and rotor arrangement (vertical or horizontal) on the instability threshold are verified. The model simulations are compared with measurements at a real vertical power plant and a horizontal test rig.     

Parametric modulation of instabilities of a nonlinear discrete system

The effect of modulation on the first instability of the logistic map is determined. Similarities with the parametrically modulated anharmonic oscillator are discussed. We also discuss small-amplitude modulation of the period-doubling bifurcations and the structural similarity with bifurcations of Taylor vortex flow in finite length annuli.     

Time-resolved two-beam coupling in silicon

The analytical solution of the optical field equations and the material equations for two-beam coupling in a medium with real excitation of quasiparticles is given. Transient energy transfer is analyzed throughout the range of the coherent overlapping of the excitation and probe pulses for a hypothetical medium with variable relation between the real part and the imaginary part of the nonlinear response. A detailed comparison between the theory and the model experiments for two-beam coupling in silicon is given.     

Quantum dynamical system with hyperbolic instabilities

An analysis of a quantum counterpart of a parametrically kicked nonlinear oscillator is given. The method, using as a basic criterion the recently introduced quantum characteristic exponents, is analogous to the technique developed in classical dynamical system theory. However, our approach to the characterization of the stability of an observable's evolution is done in pure quantum terms.     

Direct observation of dispersive Kondo resonance peaks in a heavy-fermion system

Ce 4d-4f resonant angle-resolved photoemission spectroscopy was carried out to study the electronic structure of strongly correlated Ce 4f electrons in a quasi-two-dimensional nonmagnetic heavy-fermion system CeCoGe1.2Si0.8. For the first time, dispersive coherent peaks of an f state crossing the Fermi level, the so-called Kondo resonance, are directly observed together with the hybridized conduction band. Moreover, the experimental band dispersion is quantitatively in good agreement with a simple hybridization-band picture based on the periodic Anderson model. The obtained physical quantities, i.e., coherent temperature, Kondo temperature, and mass enhancement, are comparable to the results of thermodynamic measurements. These results manifest an itinerant nature of Ce 4f electrons in heavy-fermion systems and clarify their microscopic hybridization mechanism.     

Nonlinear parametric effects and dynamic chaos in a nonautonomous oscillating system with a nonlinear capacitance

A mathematical model is constructed of a nonautonomous dynamic system containing a nonlinear capacitance and possessing a four-dimensional phase space. A numerical investigation is performed of branching processes and phenomena accompanying variations in the frequency and amplitude of an external force. The existence of complex dynamic processes that are a combination of a nonlinear force resonance and a parametric resonance is demonstrated. It is found that both a strange chaotic and a strange nonchaotic attractor exist in the phase space. It is shown that, in the case of a single-frequency external force, the latter attractor exhibits the property of roughness. The results of numerical calculations are confirmed by the results of laboratory experiments.