Static and dynamic behavior

Pieranski P, Brochard F and Guyon E 1973 Static and dynamic behavior of a nematic liquid crystal in a magnetic field. Part II Dynamics J.Physique 34 35-48... 

The FK model accounts for the effects that have been ignored in the Tomlinson model, resulting from the interactions of neighboring atoms. For a more realistic friction model of solid bodies in relative sliding, the particles in the harmonic chain have to be connected to a substrate. This motivates the idea of combining the two models into a new system, as schematically shown in Fig. 24, which is known as the Frenkel-Kontorova-Tomlinson model. Static and dynamic behavior of the combined system can be studied through a similar approach presented in this section. 

Static and Dynamic Behavior and Aspects of Sensor Integration By R. Balias... 

One can observe the different types of interactions as they dominate the static and dynamic behavior of the various clusters. For example, the DABCO(Ar) ... 

The problem of the static and dynamic behavior of a core hole is intimately connected with the question of how the core hole was created. The energy level spectrum of the core hole is uniquely given by the energy level spectrum of the residual ion but the intensity distribution is determined by the excitation process. In order to interpret a photoelectron spectrum we therefore have to understand the photoionization process which gave rise to the photoelectrons. The purpose of this section is to discuss in simple terms the physics of. the photoionization process and to demonstrate how the various contributions to the photoelectron spectrum can arise. A more formal discussion is presented in Section 3. 

Gas flow processes through microporous materials are important to many industrial applications involving membrane gas separations. Permeability measurements through mesoporous media have been published exhibiting a maximum at some relative pressure, a fact that has been attributed to the occurrence of capillary condensation and the menisci formed at the gas-liquid interface [1,2]. Although, similar results, implying a transition in the adsorbed phase, have been reported for microporous media [3] and several theoretical studies [4-6] have been carried out, a comprehensive explanation of the static and dynamic behavior of fluids in micropores is yet to be given, especially when supercritical conditions are considered. Supercritical fluids attract, nowadays, both industrial and scientific interest, due to their unique thermodynamic properties at the vicinity of the critical point. For example supercritical CO2 is widely used in industry as an extraction solvent as well as for chemical... 

However, the static and dynamic behaviors are well correlated except for small discrepancies which may be accounted for by the transient character of the droplets (6) (they can exchange constituents during sticky collisions and during very short times t <1ps, much shorter than the droplet diffusion time, longer that. 10ps). No satisfactory description of the "averaged" droplet motion is available at present time. 

The immediate goal of the simulation is to construct reliable tools that accurately describe the static and dynamic behavior of thin liquid films. As should be apparent from the preceding sections, it is extremely difficult to measure the flow-activation energy, disjoining pressure, and dewetting due to thermal fluctuations accurately or directly. The molecular simulation provides a complementary tool and is described in detail in this section. 

Basic study of the TICT phenomenon in polymers is meaningful in two ways. First, it is useful to understand both static and dynamic behaviors of the a and b bands in polymer as polymer photophysies. Secondly, it is useful to evaluate the TICT chromophores as fluorescence probes. 

These results confirm the observation that polyelectrolyte aqueous solutions show two separate decay modes in the autocorrelation function and support our contention that ionic polymer systems generally behave similarly in polar solvents [23], To support this, it may be added that similar dynamic scattering behavior was recently reported for another type of ionomer, polyurethane ionomer, dissolved in a polar solvent, dimethylacetamide (e = 38) [92], Finally, it should be stressed that the explanation given above for light scattering (both static and dynamic) behavior of salt-free polyelectrolytes is based on the major role of intermolecular electrostatic interactions in causing characteristic behavior. No intramolecular interactions are explicitly included to explain the behavior. This is in accord with our contention that much of the polyelectrolyte behavior, especially structure-related aspects, is determined by intermolecular interactions [23]. 

It is understood that the concept of fugacity can be potentially very useful in identifying the static and dynamic behavior of toxic substances in the environment. Phenomena such as bioaccumulation becomes readily understandable and predictable. Also, it is valuable in assisting in the elucidation of the dominant process responsible for a substance s degradation or removal from the environment, and in identifying the signiHcant transfer process. 

Figure 4.4 indicates the static and dynamic behavior of the tank for this case. We observe that after a certain time the tank heater again reaches steady-state conditions. 

Figure 4.5 summarizes the static and dynamic behavior of the tank heater for this case. 

Part III (Chapters 6 through 12) is devoted to the analysis of static and dynamic behavior of processing systems. The emphasis here is on identifying those process characteristics which shape the dynamic response for a variety of processing units. The results of such analysis are used later to design effective controllers. Input-output models have been employed through the use of Laplace transforms. 

Example 4.4 State Variables and State Equations for a Stirred Tank Heater Its Static and Dynamic Behavior... 

Kuroda Y, Static and dynamic behavior of 2 1 inclusion complexes on cyclodextrins and charged porphyrins in aqueous organic media, J. Am. Chem. Soc. 2002 124 9937-9944. 

STATIC AND DYNAMIC BEHAVIOR OF HELIUM-GAS THERMOMETERS BELOW IT K ... 

Static and Dynamic Behavior of Helium-Gas Thermometers Below 77° K... 

We have introduced three characteristic lengths 1, i e> and to describe the effects of chain overlap on the density fluctuation correlation, the intrachain excluded-volume interaction, and the intrachain hydrodynamic interaction, respectively. In the following chapters, we will illustrate the important roles played by them in understanding the static and dynamic behavior of polymer solutions. 

Finally, we would like to point out that although the static and dynamic behavior of the responsive gel seems to follow the dynamical instabilities driven by the reaction-diffusion processes, the large size changes of the gel can also apply a feedback over the chemical state of the system. Indeed, previous experiments evidenced that in our range of diameter (0.5-3mm)... 

The present work investigates the static and dynamic behaviors of liquid droplets on 14 silicon wafers coated with one of two substrate materials with standard semiconductor industry processes. Wafers 1-10 were textured with an array of squares containing a nanopattem of linear grooves, and wafers 11-14 were unpattemed. Since the patterns were anisotropic, each test was conducted in two directions — parallel and perpendicular to the pattern. These directions could be easily tracked by their relation to the wafer notch. A schematic of the patterned wafers is shown in Fig. 1. 

References [59] investigate the static and dynamic behavior of the electrohydrodynamic instability in fireely suspended layers of nematic liquid crystals. The existence of a domain mode was shown, which consists of adjacent elongated domains with a spatial period proportional to the thickness of the layer. This mode occurs only if the thickness of the layer exceeds a critical value 7 /x), and can be understood in terms of the same anisotropic mechanism as the Carr-Helfrich-type, as in the case of the Kapustin-WiUiams modulated structure. 

Mattia D, Gogotsi Y. Review static and dynamic behavior of Uquids inside carbon nanotubes. Microfluid Nanofluid 2008 5 289-305. 

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