On the potential energy landscape of supercooled liquids and glasses

The activation-relaxation technique (ART), a saddle-point search method, is applied to determine the potential energy landscape around supercooled and glassy configurations of a three-dimensional binary Lennard-Jones system. We show a strong relation between the distribution of activation energies around a given glassy configuration and its history, in particular, the cooling rate used to produce the glass and whether or not the glass was plastically deformed prior to sampling. We also compare the thermally activated transitions found by ART around a supercooled configuration with the succession of transitions undergone by the same supercooled liquid during a time trajectory simulated by molecular dynamics. We find that ART is biased towards more heterogeneous transitions with higher activation energies and more broken bonds than the MD simulation.     

Pressure dependence of diffusion in simple glasses and supercooled liquids

Using molecular dynamics simulation, we have calculated the pressure dependence of the diffusion coefficient in a binary Lennard-Jones glass. We observe four temperature regimes. The apparent activation volume drops from high values in the hot liquid to a plateau value. Near the critical temperature of the mode coupling theory it rises steeply, but in the glassy state we find again small values, similar to the ones in the liquid. The peak of the activation volume at the critical temperature is in agreement with the prediction of mode coupling theory.     

Dynamics of supercooled liquids and understanding the glass transition

The self-consistent mode coupling theory of glass transition is briefly reviewed. The existance of a temperature T_c, higher than the usual calorimetric glass transition temperature, across which the dynamics of the fluid becomes quite different are indicated through different experimental results. Above T_c the viscosity tends to diverge with a power law while for lower temperature this sharp transition is cutoff. Such changes in the transport properties can be understood from the self-consistent mode coupling theory. The relaxation functions predicted by the mode-coupling theory over different time scales are indicated. The models with proper wave-vector dependence are also discussed.     

Self-consistent approach in the microdynamics description of supercooled liquids and glasses

A study of the microdynamics of supercooled liquids and glasses is executed through calculations of the dynamic structure factor S(k, θ). The theory developed on the basis of a self-consistent approach in the framework of the memory function formalism is applied to define the frequency spectra (m/k _B T)S(k, θ) of supercooled argon at the temperature T = 5 K for the wavenumber region from 2 to 8.5nm⁻¹. The results obtained are in good agreement with the molecular dynamics simulation data. The text was submitted by the authors in English.     

Excluded volume effect on entropy and clustering behaviors in supercooled liquids and glasses

We study the significant entropy changes in supercooling and glass transition by developing a two (H and L) state cluster model, where the H-state represents the clusters with the coordination number z being larger than the reference size z_R and the L-state those with z<z_R, respectively. We exploit the excluded volume effect on the clustering behaviors of various glass-formers and the temperature dependence (at fixed pressure of 1 atmosphere) of the entropy difference between the two cluster states on the basis of , where as taken universally for all the glass-formers investigated. The temperature dependence of the average size 〈z_c^∗〉 of clusters with z≥z_R is then determined for some representative glass-formers, such as GeO₂, 1-propanol, glycerol, propylene carbonate, o-terphenyl, and so forth, covering the entire fragility spectrum studied experimentally. As a result, the temperature dependence of 〈z_c^∗〉 is found to highly depend on the fragility index ? associated with the temperature dependence of the excluded volume B^∗(?,T) of which statistical mechanical representation is given by the generic van der Waals equation of state. With decreasing T toward the glass transition temperature T_g, 〈z_c^∗〉 increases to attain universally about 13 at T_g regardless of the fragility and molecular details of the glass-formers. We specifically analyze in depth the theoretical predictions for the cluster sizes and the experimental estimations for the length scales associated with temporary clusters of slow segments in supercooled glycerol as about 1.4±0.5 nm for glycerol at 10 K above T_g. Given the large uncertainties associated with the experiment, the present theory appears to be in good agreement with the experiment.     

Spin-polarization in LEED: A comparison of theoretical predictions

Two distinct theories of spin-dependent low energy electron diffraction have been used to calculate scattered intensities and polarizations for the same model of the W(001) surface. The agreement between the results is excellent, demonstrating that calculations using either program should provide a reliable basis for the analysis of experimentally measured intensities and polarizations. The effects of using different surface barriers and of increasing the number of phase shifts and diffracted beams are also examined.     

Internal solitons in laboratory experiments: comparison with theoretical models

Nonlinear internal solitary waves observed in laboratory experiments are discussed from the standpoint of their relation to different soliton theories, from the classical integrable models such as the Korteweg-de Vries, Gardner, Benjamin-Ono, and Joseph-Kubota-Ko-Dobbs equations and their modifications, through the nonintegrable models describing higher-order nonlinear effects, viscosity, rotation, and cylindrical spreading, to the strongly nonlinear models. First, these theoretical models are briefly described and, then, laboratory data and their comparison with the theory are presented.     

Diffusion in ordinary and supercooled liquids

Summary We discuss a simplified approach for the recollision part of the memory function for self-motion in ordinary and supercooled liquids. This part accounts for the substantial decrease of the diffusion coefficient with respect to the binary prediction, an effect which becomes larger and larger on cooling the system. The quantitative results compare satisfactorily with previous and new simulation data obtained for a liquid rubidium model both near the triple point and in moderately supercooled states. Paper presented at the workshop ?Highlights on Simple Liquids”, held in Turin at ISI on 1–3 May, 1989.     

Orientational dynamics in supercooled liquids near T(c) and comparison with ideal mode-coupling theory

Orientational dynamics in supercooled salol and ortho-terphenyl were measured near their critical temperatures, T(c), with optical Kerr effect experiments spanning a very broad range of times. Above T(c), the decays are shown to be in excellent agreement with the master curve predicted by ideal mode-coupling theory when higher order terms are included. Between the critical decay and the von Schweidler power laws, the intermediate time range of the data can be modeled by a power law. This intermediate power law, located at 2相似文献   

Dynamics of supercooled fluids

The dynamics of supercooled fluids is investigated. This approach is based on a static mean field theory of freezing developed by Grewe and Klein and the dynamical theory of Cahn and Hilliard. A nonlocal term is introduced to the standard Landau-Ginsburg-Wilson Hamiltonian and the resulting dynamics are explored. It is shown that for short times the supercooled liquid is unstable to density fluctuations of a nonzero wavevectork. Thek at which this instability first appears is on the order of the inverse range of the interaction potential.After Oct. 1, 1982: Institute for Basic Studies National Bureau of Standards Washington DC 20234, USASupported in part by grants from the ARO, NSF     

Generalized excluded volume and the diffusivity and viscosity of supercooled liquids and glasses over the entire fragility spectrum

Transport properties of glass-formers near glass transition reflect the varying degrees of the sensitivity of the solid-like dynamics and structures with respect to temperature, depending on their fragility. Notably, however, most glasses resume Arrehenius transport behavior upon onset of vitrification. To address this phenomenon a theory of the self-diffusion coefficient and viscosity is developed on the basis of a model constructed for the generalized excluded volume of glass-formers described by the generic van der Waals equation of state. The molecular clustering behavior of a glass-former is exploited in terms of an order parameter that measures the concentration of glassy, clustered molecules, which is then related to the excluded volume. The formulas arrived therefrom are shown to excellently account for the self-diffusion coefficient and viscosity of various glass-formers over the entire fragility spectrum studied experimentally: e.g., _GeO2${\mathrm{GeO}}_2$, silica, ethanol, glycerol, diopside, propylene carbonate, o$o$-terphenyl, tris-napthylbenzene, toluene, and so on. The excluded volume effect thus investigated is shown to essentially characterize the fragility of the glass-formers. The resulting theory not only predicts for fragile glass-formers to resume Arrehenius transport behavior upon the onset of the glass transition, but also explains a crossover between strong and fragile glass-formers in their diffusivity and viscosity profiles as vitrification sets in.     

Pulsed dielectric spectroscopy of supercooled liquids

Pulsed dielectric spectroscopy is introduced as a technique for selectively emphasizing specific components of the non-exponential dielectric response of matter. Samples studied include supercooled liquid propanol, propylene carbonate, and poly(lauryl-methacrylate). It is shown that particular sequences of pulses can be used to emphasize the fast response regime, to produce a cross-over or memory effect, or to eliminate the response of selected components. Furthermore, for materials characterized by broad distributions of relaxation times, the technique facilitates the investigation of a relatively narrow band from that distribution. It is also shown that the time domain spectroscopy can be combined with conventional frequency domain techniques to provide the characterization of dielectric response over an extraordinarily broad spectral range.     

Stresses in silos: comparison between theoretical models and new experiments

We present precise and reproducible mean pressure measurements at the bottom of a cylindrical granular column. If a constant overload is added, the pressure is linear in overload and nonmonotonic in the column height. The results are quantitatively consistent with a local, linear relation between stress components, as was recently proposed by some of us. They contradict the simplest classical (Janssen) approximation, and may rather severely test competing models.     

Heterogeneities in supercooled liquids: a density-functional study

A metastable state, characterized by a low degree of mass localization, is identified using density-functional theory (DFT). This free energy minimum, located through the proper evaluation of competing terms in the free energy functional, is independent of the specific form of the DFT used. Computer simulation results on particle motion indicate that this heterogeneous state corresponds to the deeply supercooled state.     

Low Earth orbit satellite-to-ground optical scintillation: comparison of experimental observations and theoretical predictions

Scintillation measurements of a 1064 nm laser at a 5 kHz sampling rate were made by an optical ground station at the European Space Agency observatory in Tenerife, Spain while tracking a low Earth orbit satellite during the spring and summer of 2010. The scintillation index (SI), the variance of irradiance normalized to the square of the mean, and power spectra measurements were compared to theoretical predictions based on the Kolmogorov spectrum, the Maui3 nighttime turbulence profile, weak scintillation finite-beam wave theory, included receiver, and source aperture averaging with no free-fitting parameters. Good agreement was obtained, not only for the magnitude of the observed fluctuations, but also for the corresponding elevation angle dependence and shape of the power spectra. Little variation was seen for the SI between daytime and nighttime links. For all elevation angles, ascending and descending, the observed scintillation over extensive regions of the atmosphere is consistent with log-normal statistics. Additionally, it appears from the results presented here that the nighttime turbulence profile for the atmosphere above the observatory in Tenerife is similar to that above Haleakala in Maui, Hawaii.