Mobility coefficient

The ion mobility coefficients pj are calculated similarly. First, the ion mobility of ion j in background neutral i is calculated using the low- -field Langevin mobility expression [219]. Then Blanc s law is used to calculate the ion mobility in... 

Here M is a mobility coefficient, which is assumed to be constant and r/(r.t) is the random thermal noise term, which for a system in equilibrium at temperature T satisfies the fluctuation-dissipation theorem. The free energy functional is taken to be of a Ginzburg-Landau form. In the notation of Qi and Wang (1996,1997) it is given by... 

Obviously, using the Einstein relation, Eq. (4.25) might have been written down right away as soon as the rotary mobility coefficient had been found. This is equally valid, of course, for both the Landau-Lifshitz and Gilbert representations of the magnetodynamic equation. Using formula (4.16) one finds... 

Fig. 3. The mobility coefficient K describing the movement of an ion swarm in an electric field. The mobility coefficient depends on the cross-section (collision area) ft, the reduced mass /i, and the effective temperature re f of the ion. Collision area ftD will depend on moisture, temperature, drift gas, and molecule.

In the early to mid 1980s, the characterization of ions with field dependence of mobility was treated theoretically [36] and was based on the following concept if ions had the same mobility but differing dependence of mobility with E/N, then the characteristic differences in mobility could be a basis for ion separation. Thus, a complete expression of mobility is shown in Eq. 3, where the mobility coefficient contains a non-linear... 

Fig. 14. Mobility versus E/N, showing the change of the mobility coefficient K as the ions are clustered through the addition of a dopant (e.g., methylene chloride). Under high-field conditions, K stays practically unaltered, whereas under low-field conditions, K is decreased, which leads to an increase in A K.

C.R. White, Characterization of Tandem DMS-IMS2 and Determination of Orthogonality Between the Mobility Coefficient (K) and the Differential Mobility Coefficient (A K), MS Thesis, New Mexico State University, Las Cruces, NM, (2006). 

Each particle of defect species s will respond to this force, but the degree of response will be dependent upon the species in question and the diffusion medium. The proportionality factor is termed the mobility coefficient, B(s), of the species in question. The current, J(s), produced by a given force, Fw, per defect particles will be larger for a greater number of particles per unit volume, since then more particles are set into motion by the force. Thus, from a phenomenological standpoint, it is reasonable to write... 

Suspended particles arc considered to have finite size thus both the mobility coefficient and diffusion coefficient of the particles depend not only on the size of the particle but also upon the distance between the particle and the collector. A numerical finite-difference technique is used to solve the general transport equation. 

Results are shown in Figs. 12 and 13. All blend specimens were set iso-thermally above LCST and kept there for a maximum of 5 min. As will be seen, this corresponds only in some cases to an early stage of spinodal decomposition depending on temperature. The diffusion coefficients governing the dynamics of phase dissolution below LCST are in the order of 10"14 cm2 s"1. Figure 12 reflects the influence of the mobility coefficient on the phase dissolution. As can be seen, the apparent diffusion coefficient increases with increasing temperature of phase dissolution which expresses primarily the temperature dependence of the mobility coefficient. Furthermore, it becomes evident that the mobility obeys an Arrhenius-type equation. Similar results have been reported for phase dis-... 

Here,, is the mobility coefficient, while L22 is a generalized mobility relating ATP consumption and the chemical potential difference, and /., 2 and L2] are the mechano-chemical coupling coefficients. A given motor/filament system can work in different regimes, and in a regime where the work is performed by the motor, efficiency is defined by... 

Barrer and Jost (9) considered the mobility coefficient, Ba, having in mind localized sorption. For a single jump which could occur with equal probability in any one of p directions,... 

---