Time-temperature superposition in viscous liquids

Dielectric relaxation measurements on supercooled triphenyl phosphite show that time-temperature superposition (TTS) is obeyed for the primary relaxation process at low temperatures. Measurements on other molecular liquids close to the calorimetric glass transition indicate that TTS is linked to an omega(-1/2) high-frequency decay of the loss, while the loss peak width is nonuniversal.     

Simple micro engines for transport in viscous liquids

A comparative theoretical analysis of micro engine models that have appeared in recent years is performed. A new model surpassing the considered ones in efficiency and convenience of implementation is proposed.     

Vibrational relaxation in liquids

A new theory is presented for vibrational energy relaxation in a liquid. It is shown that a vibrationally excited probe molecule relaxes through interaction with the density fluctuations in the surrounding solvent fluid. This interaction occurs through a potential V(k), which is expressed in terms of the intermolecular force between the excited probe molecule and the surrounding fluid molecules. By assuming spherically symmetric solvent particles the T ₁ energy relaxation time for direct V-T processes is related to the translational dynamic structure factor for the fluid S(k, ω_v), evaluated at the vibrational resonance frequency. It is shown that this is described by gas-like particle motions on a very short distance scale corresponding to k vectors lying well beyond the first or second peaks of the fluid structure factor S(k). Such motions can be pictured as high-frequency, short-distance distortions of the local equilibrium configuration of the solvent particles around the probe. T ₁ ^-1 is found to be proportional to ρ_e T ^1/2 ω_v ^-3. The V-V energy exchange relaxation time is also calculated. This is found to be proportional to S(k, ω′) evaluated at a frequency ω′, corresponding to the vibrational energy missmatch. An energy gap law for the V-V process is derived.     

Acoustic relaxation spectrometers for liquids.

In this tutorial article methods of acoustic relaxation measurements of liquids are reviewed. The present performance of various techniques is described and desirable trends in future developments are shown. An account is given on standards in the optical monitoring of acoustic waves (Brillouin scattering), on time domain (jump) techniques, as well as on frequency domain (continuous and pulse modulated ultrasonic wave) methods. The merits and limitations of the different techniques of measurement, covering the frequency range from 10 kHz up to nearly 10 GHz now, corresponding with relaxation times between about 0.1 ms and 100 ps, are discussed. Efforts to further enhance the experimental accuracy and to reduce the required sample volume are indicated.     

Instability of a charged interface of two immiscible viscous liquids with charge relaxation taken into account

On the basis of an analysis of a derived dispersion relation, it is demonstrated that there can be two different types of instability relative to the free charge of a charged, planar interface between two viscous immiscible liquids with finite electrical conductivity in a gravitational field. For large values of the surface charge density, depending on the viscosities and ratio of conductivities of the media, one can observe either an aperiodic (of the Tonks-Frenkel type) or oscillatory instability of the interface. Increasing the viscosity of the lower liquid leads to a substantial drop in the increments of the mentioned instability types and alters the critical conditions for manifestation of the oscillatory instability, whereas varying the viscosity of the upper surface has only a very weak effect on these characteristics. Zh. Tekh. Fiz. 68, 13–19 (September 1998)     

Multipoles and rotational relaxation in liquids

The role of multipolar interactions in quenching free rotation in condensed phases is discussed, with particular attention paid to the HCl-SF₆ system. The magnitude of these interactions is shown to be closely correlated with the dielectric loss of the solvent, and to be sufficient to explain at least partially the variations of linewidth in the HCl rotational spectrum.     

Non-markovian properties of dielectric relaxation in liquids

Statistical molecular memory is investigated in dielectric relaxation in a liquid medium. A new method of closing the infinite chain of kinetic equations for the time correlation function is proposed, and used to obtain an equation permitting the calculation of the smallest-order memory functions. The spectrum of the non-Markovian parameter obtained indicates that dielectric relaxation in liquid CH₃I is a significantly non-Markovian process.Kazan' State Pedagogical Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 27–31, October, 1995.     

Spin — lattice relaxation in chlorofluorocarbon liquids

We have used the spin — echo method to measure spin — lattice relaxation times in liquid chlorofluorocarbons over a wide range of temperatures, frequencies, and molecular weights. Analysis of the experimental data shows that to determine the kinetic parameters of viscous liquids it is necessary to use the theory of nuclear magnetic relaxation by translational diffusion. We describe a method for the computer calculation of these parameters and discuss the results.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 46–51, March, 1976.     

Differential criterion of a bubble collapse in viscous liquids

The present work is devoted to a model of bubble collapse in a Newtonian viscous liquid caused by an initial bubble wall motion. The obtained bubble dynamics described by an analytic solution significantly depends on the liquid and bubble parameters. The theory gives two types of bubble behavior: collapse and viscous damping. This results in a general collapse condition proposed as the sufficient differential criterion. The suggested criterion is discussed and successfully applied to the analysis of the void and gas bubble collapse.     

Mixing effects for the structural relaxation in binary hard-sphere liquids

We report extensive molecular-dynamics-simulation results for binary mixtures of hard spheres for different size disparities and different mixing percentages, for packing fractions up to 0.605, and over a characteristic time interval spanning up to 5 orders in magnitude. We explore the changes in the evolution of glassy dynamics due to mixing and discover two opposite scenarios: For large size disparity, increasing the mixing percentage of small particles leads to a speed up of long-time dynamics, while small disparity leads to a slowing down. These results agree with predictions based on the mode-coupling theory for ideal-glass transitions.     

Interphase stability of stratified viscous liquids in Couette flow

An exact long-wavelength asymptotic solution is constructed for the problem of interphase stability in the Couette flow of a two-layer system of Newtonian liquids with different viscosities and with shallow depths. It is shown that the dispersion relation for the complex velocity of a wave of disturbances can be represented as an expansion in fractional powers of the wave number which are multiples of 1/3. New stability criteria, different from those obtained previously, are found. Pis’ma Zh. éksp. Teor. Fiz. 64, No. 5, 330–334 (10 September 1996)     

Structural relaxation and viscous flow in amorphous ZrAlCu

The ternary metallic glass Zr₆₅Al_7.5Cu_27.5 offers a wide temperature range between glass transition temperature and crystallization temperature and is therefore well suited for investigation of the glass transition and the state of the super cooled liquid. The non-linear viscosity change caused by structural relaxation has been measured caused by structural relaxation has been measured using tensile creep experiments on as quenched samples. The increase of viscosity can be described by bimolecular annihilation kinetics of flow defects. The Arrhenius plot of equilibrium viscosity shows a kink at a temperature which seems to be the glass transition temperature. The activation energies of viscous flow below and above that glass transition temperature differ by nearly a factor two. Different microscopic processes responsible for viscous flow in the two regimes of temperature are therefore conceivable. This view is also encouraged by Dynamic-Mechanical-Analysis on relaxed samples, a method to examine the viscoelastic behaviour of glassy materials on different time scales and by recent diffusion measurements on a different system.     

Rotating frame proton spin relaxation in viscous glycerol

The observation of a rotating frame Larmor frequency dependence in the proton spin relaxation of glycerol lends support to a recent study of proton spin relaxation in this substance. Comparison of the data to recent theories describing spin relaxation by translational diffusion strongly suggest that this is the dominant relaxation process in glycerol near room temperature. In addition, the measurement of the self-diffusion coefficient of glycerol, at a temperature lower than has been previously reported, indicates that this rotating frame technique may be useful in the study of diffusion in viscous media.     

Structural relaxation and viscous flow in amorphous ZrAlCu

The ternary metallic glass Zr₆₅Al_7.5Cu_27.5 offers a wide temperature range between glass transition temperature and crystallization temperature and is therefore well suited for investigation of the glass transition and the state of the super cooled liquid. The non-linear viscosity change caused by structural relaxation has been measured caused by structural relaxation has been measured using tensile creep experiments on as quenched samples. The increase of viscosity can be described by bimolecular annihilation kinetics of flow defects. The Arrhenius plot of equilibrium viscosity shows a kink at a temperature which seems to be the glass transition temperature. The activation energies of viscous flow below and above that glass transition temperature differ by nearly a factor two. Different microscopic processes responsible for viscous flow in the two regimes of temperature are therefore conceivable. This view is also encouraged by Dynamic-Mechanical-Analysis on relaxed samples, a method to examine the viscoelastic behaviour of glassy materials on different time scales and by recent diffusion measurements on a different system.