An inverse method to fast-track the calculation of phase diagrams for sonoluminescing bubbles

A sound driven air bubble can be transformed into an argon bubble emitting light pulses stably. The very foundation to investigate the sonoluminescing bubble is to accurately determine the ambient radius and gas composition in the interior. The conventional approach is to model the air-to-argon transformation process through a large number of bubble dynamics simulations to obtain the physical parameters of the ultimate argon bubble. In this paper, we propose a highly efficient method to pinpoint this information in a phase diagram. The method is based on the diffusive equilibrium for each species inside the bubble and derives the ambient radius and composition inversely. To calculate the former parameter, the bisection algorithm is employed to consecutively narrow down the searching range until the equilibria is approached. Afterward, several cycles of full dynamics simulations are conducted to refine the composition. The method is validated using published experimental data. The calculated ambient radii deviate from the test results by less than 1 μm, which falls within the margin of measurement error. The advantages of this method over the semi-analytical approach reported by Hilgenfeldt et al. [J. Fluid Mech. 365 (1998)] are also discussed. Our study provides a standard procedure to calculate the ambient radius and composition and is beneficial for the numerical simulation of sonoluminescing bubbles.     

Rising of gas bubbles in an aqueous medium in presence of surfactants

Summary Experiments based on the direct comparison of the gas-bubble rising times in a surfactant aqueous solution, in respect to those in pure water, give support to the hypothesis that a rising path of many metres is needed to reach the saturation of the adsorption process on bubbles (0.2÷0.3) cm in diameter. A maximum is evidenced in thet/t ₀ ratiovs. surfactant concentration at the highest concentrations tested. An explanation, on a qualitative basis, of the appearance of the observed maximum is proposed. Work presented at the IV Congress of the CNR (National Research Council) National Group of the Atmosphere and Ocean Physics, Rome, June 22–24, 1987.     

Sonolysis of surfactants in aqueous solutions: an accumulation of solute in the interfacial region of the cavitation bubbles

The sonolysis of surfactants (such as sodium dodecylbenzenesulfonate (DBS), sodium dodecylsulfate (SDS), and polyethylene glycol monostearate), sodium 4-toluenesulfonate (STS), and 1-hexanol in aqueous solutions was investigated under an argon atmosphere with ultrasound of 200 kHz in order to compare the scavenging efficiency of the hydroxyl radical and the accumulation in the gas-liquid interfacial region of the cavitation bubbles. The degradation rate of the solute follows the order 1-hexanol > DBS and SDS > STS. The scavenging efficiency of the hydroxyl radical by non-volatile surfactants was much greater than that of the non-volatile and hydrophilic solute (e.g., STS). The surfactant was accumulated in a relatively high ratio in the interfacial region. The degradation of surfactants occurred by reaction with the hydroxyl radical and also by pyrolysis at high temperature. On the other hand, STS, due to its non-volatile and hydrophilic properties, was principally present in the bulk solution and the degradation by pyrolysis was not observed at the investigated concentration ranges.     

Thermodynamic property of gases in the sonoluminescing bubble

1 IntroductionThe phenomenon of Single Bubble Sonoluminescence (SBSL) has been discovered since1990[l], many eXPerimental results have been published[2--5], and these results show the basicimage of SBS as follows: An air bubble (typical radius is 5 pmLcan be trapped at the velocitynode of the acoustic standing wave in Water, and in a p.rha of sound wavet the bubble isexpanded (the radius can reach about 40 Urn), and then it is compressed rapidly, as compressedto near Van der Waals volume…     

Size of the light-emitting region in a sonoluminescing bubble

The size of the light-emitting region is a key parameter toward understanding the light-emitting processes in a sonoluminescing bubble. Here we present measurements of interference effects from particles with a diameter of approximately 2 microm situated 6-10 microm from a sonoluminescing bubble. From the angular size of the pattern and from an estimated distance to the particles we conclude that the light-emitting region of a sonoluminescing bubble is smaller than commonly believed [see, e.g., Nature (London) 398, 402 (1999)]. We argue that an upper limit of the size of the light-emitting region is approximately 200 nm.     

Squeezing Properties of the Ion Traps

With time and space transformation, we first solve the Schrodinger equation of the time-dependent harmonic oscillator (TDHO) system. The properties of the squeezing in the case of ω(t) =√U + VcosΩt, i.e., the Paul trap and ω(t) = ω₀ + ω₁secλt, namely a stable frequency interfered by a single-pulsing-type disturbance, are investigated by using function series expansion. Results in the former case are compared with the numerical calculations carried out before. It is found that the condition related to the most strong squeezing is the direct result of our method, not any approximation is needed. Solutions of the latter one are valuable for the study of the ion trap, where different cases are studied in detail. Finally we made a discussion for the measurement and observation of a trapped ion by using squeezing properties.     

Preparation of platinum nanoparticles by sonochemical reduction of the Pt(IV) ions: role of surfactants

Sonochemical reduction processes of Pt(IV) ions in water have been investigated in the presence of various kinds of surfactants such as sodium dodecylsulfate (SDS) and sodium dodecylbenzenesulfonate (DBS) as anionic surfactants, and polyethylene glycol monostearate (PEG-MS) as non-ionic, dodecyltrimethylammonium chloride (DTAC) and bromide (DTAB) as cationic surfactants. An improved colorimetric determination reveals that Pt(IV) ion is reduced to zero valent metal in two steps: step (1)--Pt(IV) ion to Pt(II) ion, and step (2)--Pt(II) ion to Pt(0), and after the completion of step (1), step (2) sets in. It appears that rapid scrambling reactions among platinum ions and/or atoms, that is, Pt(I) + Pt(IV)-->Pt(II) + Pt(III), etc. take place. In the sonolysis of aqueous solutions of SDS, DBS or PEG-MS, two kinds of organic reducing radicals, R(ab) and R(py), are proposed to contribute to the reduction. Radical R(ab) is formed from the reaction of the surfactants with primary radicals such as hydroxyl radicals and hydrogen atoms originated from the sonolysis of water, and radical R(py) is formed from the direct thermal decomposition of surfactants in the interfacial region between the collapsing cavities and the bulk water. R(ab) is effective for both the reduction steps, whereas R(py) is involved only in the reduction step (1). This fact coincides with the previous reported sonochemical reduction of Pt(II) ions. Hydrogen atoms themselves scarcely participate in the reduction. The average diameter (1.0 nm) of platinum particles prepared from the system of PEG-MS is smaller than those from the aqueous solution of anionic surfactant SDS (3.0 nm) and DBS (3.0 nm).     

Squeezing and Higher-order Squeezing Properties of Eigenstates of the Operator akqs

The squeezing and higher-order squeezing properties of k orthonormalized eigenstates of the higher powers akqs(k≥3) of the annihilation operator of two-parameter deformed harmonic oscillator are investigated. It is found that the Nth-power squeezing [N=(m+1/2)k, m=0,1,2,…] can exist in the all of them when k is even.     

Generation of hidden optical-polarization: Squeezing and non-classicality

A monochromatic bi-modal coherent light, endowed with orthogonally polarized photons propagating collinearly, is allowed to impinge as pump field in degenerate parametric amplification. Generation of Hidden Optical-Polarized State is seen by non-zero values of Index of Hidden Optical-Polarization. Squeezing in Hidden Optical-Polarized State is demonstrated by recognizing a Squeezing Function of which departure from unit-value ensures the squeezing. Furthermore, the non-classical feature is witnessed by the ‘Degree of Hidden Optical-Polarization’ having value ‘greater than unity’.     

Ultrasonic bubbles in medicine: influence of the shell

Ultrasound contrast agents consist of microscopically small bubbles encapsulated by an elastic shell. These microbubbles oscillate upon ultrasound insonification, and demonstrate highly nonlinear behavior, ameliorating their detectability. (Potential) medical applications involving the ultrasonic disruption of contrast agent microbubble shells include release-burst imaging, localized drug delivery, and noninvasive blood pressure measurement. To develop and enhance these techniques, predicting the cracking behavior of ultrasound-insonified encapsulated microbubbles has been of importance. In this paper, we explore microbubble behavior in an ultrasound field, with special attention to the influence of the bubble shell. A bubble in a sound field can be considered a forced damped harmonic oscillator. For encapsulated microbubbles, the presence of a shell has to be taken into account. In models, an extra damping parameter and a shell stiffness parameter have been included, assuming that Hooke's Law holds for the bubble shell. At high acoustic amplitudes, disruptive phenomena have been observed, such as microbubble fragmentation and ultrasonic cracking. We analyzed the occurrence of ultrasound contrast agent fragmentation, by simulating the oscillating behavior of encapsulated microbubbles with various sizes in a harmonic acoustic field. Fragmentation occurs exclusively during the collapse phase and occurs if the kinetic energy of the collapsing microbubble is greater than the instantaneous bubble surface energy, provided that surface instabilities have grown big enough to allow for break-up. From our simulations it follows that the Blake critical radius is not a good approximation for a fragmentation threshold. We demonstrated how the phase angle differences between a damped radially oscillating bubble and an incident sound field depend on shell parameters.     

Squeezing properties of the Kerr-down conversion system

In this paper we describe a new two-mode system, which consists of Kerr-like medium and down conversion process, called the Kerr-down conversion system. Under a certain condition we can obtain an exact solution of the dynamical equations of motion. For this system we investigate different kinds of quadrature squeezing, e.g., single-mode, two-mode and sum-squeezing. Also we give a more general definition of the principal squeezing. We show that the amounts of nonclassical effects produced by the Kerr-like and down-conversion processes separately are greater than those obtained from the Kerr-down conversion system where both the processes are in competition.     

三能级原子系统中原子偶极压缩和光场压缩间的关联

通过考察三能级原子与单模和双模场相互作用系统中原子偶极压缩和光场压缩随时间的演化规律, 研究了原子偶极压缩与光场压缩之间的关系, 讨论了原子偶极压缩与光场压缩之间相互转换的特征, 并给出了初始处于偶极压缩状态的原子辐射压缩光的条件。     

Model flames in the Boussinesq limit: Rising bubbles

Using the Boussinesq buoyancy approximation, we study a bubble of reaction products rising in the reactant fluid under the influence of gravity. Reaction on the surface of the bubble (the flame) results in an increase of the volume of the bubble. We consider fluids with low Prandtl and high Froude numbers (heat diffusion dominates over viscous dissipation, and burning dominates over gravitational effects). We show that, under these conditions, all initially small bubbles follow the same growth pattern, regardless of the flame speed, the reaction type, the gravity, the viscosity, the initial size, and, to some extent, the initial shape of the bubble. In the initial stage of this similarity solution a bubble grows radially in an essentially motionless fluid until it reaches some critical size, which is determined by the laminar flame speed, the gravitational acceleration, and the Atwood number. Once the bubble reaches the critical size, convection becomes significant and the bubble evolves into a more complicated, mushroom-like shape. The similarity solution is expressed using the critical bubble size for the unit length and the critical size divided by the laminar flame speed as the unit time.     

On the migration of helium bubbles

Abstract

ESR-spectroscopy was used to study free radical formation in solid, polycrystalline pellets of DNA-subunits after heavy charged particle bombardment and after X-ray irradiation. Dose-yield curves were measured at 300 K and analyzed for initial G-values (radicals per 100 eV absorbed energy) and saturation concentrations. Both parameters show a characteristic LET-dependence which will be discussed in terms of the inhomogenous distributions of energy within the particle tracks.     

Taking into account universal intermolecular interactions by the Hückel molecular orbital method

We show that interactions between molecules according to a universal mechanism can be interpreted as changes in the Coulomb integrals in their Hamiltonians. Supplementing the ? technique with the assumption that there is a proportionality between the relative change in the π-electronic charge on the atom and the interaction energy causing these changes allows us to calculate the electronic spectra for solvated dye molecules and their van der Waals complexes. We show that in the molecular orbital calculation, a universal interaction function can act as a semiempirical parameter.     

Spin Squeezing of the Generalized One-Axis Twisting Model

We investigate spin squeezing of the generalized one-axis twisting model. By using the perturbation techniques, we analytically and numerically calculate spin squeezing parameter defined by Kitagawa and Ueda. It shows that more squeezing may be achieved by strengthening linear interactions and increasing the total number of particles.