Equilibrium field

The b.v.p. is solved numerically for a sequence of voltages from V = 0 to V = Vcr until the steady state is reached at t — oo. As an initial condition we employ the steady concentration fields, computed for the previous voltage value, starting from the known equilibrium fields at V = 0. For V < VCI the appropriate solution for t — oo coincides with those for (5.3.1), (5.3.5). 

To obtain the transfer coefficient from this simulation, we require a calculation at fields different from the equilibrium field. We imposed two ionic screening charges of 9 pC/cm2 and 0 pC/cm2 different from the estimated charge at the equilibrium potential and recalculated the barrier height. Results are summarized in Table V. 

For many purposes, we will find that antiplane shear problems in which there is only one nonzero component of the displacement field are the most mathematically transparent. In the context of dislocations, this leads us to first undertake an analysis of the straight screw dislocation in which the slip direction is parallel to the dislocation line itself. In particular, we consider a dislocation along the X3-direction (i.e. = (001)) characterized by a displacement field Usixi, X2). The Burgers vector is of the form b = (0, 0, b). Our present aim is to deduce the equilibrium fields associated with such a dislocation which we seek by recourse to the Navier equations. For the situation of interest here, the Navier equations given in eqn (2.55) simplify to the Laplace equation (V ms = 0) in the unknown three-component of displacement. Our statement of equilibrium is supplemented by the boundary condition that for xi > 0, the jump in the displacement field be equal to the Burgers vector (i.e. Usixi, O" ") — M3(xi, 0 ) = b). Our notation usixi, 0+) means that the field M3 is to be evaluated just above the slip plane (i.e. X2 = e). 

The reciprocal theorem points the way to an idea that will allow for the calculation of the displacements associated with a dislocation loop of arbitrary shape. As discussed in chap. 2, the reciprocal theorem asserts that two sets of equilibrium fields (or< and f ), associated with the same... 

The technical problems of the poloidal field system depend on the configuration concept of the equilibrium field coils and the multipole divertor winding. A basic distinction is made between two types of configuration ... 

Similar calculations of elongated FRC rings have also been made with results shown for reference in Tables 3, 4, and 5. To maintain large L/a, external, equilibrium fields which are stronger at the midplane of the ring than at the ends are required. A detailed study of macrostability of the rings for this case has not been made however. 

The formation process utilizes three sets of active coil circuits a set of equilibrium steady state poloidal field coils (EF)/ a toroidal "core" with toroidal coils to generate poloidal flux (PF) and a toroidal solenoid (TF) to generate toroidal flux. The equilibrium field (EF) is steady state and penetrates the vacuum vessel. The EF field will be the main field to maintain the plasma in the final equilibrium position. All other fields (PF and TF) vary on a faster time scale and the vacuum vessel acts as a perfect conductor with respect to them during the formation stage. 

Figure 18 shows that when the PF current is reduced through to -250 KA zero, the induced toroidal current increases and the magnetic axis shifts inwards, since the equilibrium field is now stronger due to this reduction. 

In Sections 1.3 to 1.5, the residue curve bundles, which characterize the direction of Uquid-vapor tie-lines in each point of the concentration space (i.e., the phase equilibrium field), were considered. As stated previously, such characteristics of the phase equilibrium field and structural elements related to it (bonds, distillation regions, and subregions) are the most important for one of the distillation modes, in particular, for the infinite reflux mode. 

However, the liquid-vapor phase equilibrium field has other important characteristics that become apparent under other distillation modes, in particular, under reversible distillation and usual (adiabatic) distillation with finite reflux. 

In providing an answer to the question, three independent equilibrium stress fields must be considered, rather than the two fields considered in similar cases up to this point. These equilibrium fields are the background mismatch field characterized by Tm or ym, the net field of all previously... 

The quantity dU/dcij is the stress dij which is necessary to enforce the elastic strain eij. The stress field is an equilibrium field which, in the... 

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