Mobility tensor for a strongly turbulent Lorentz gas in a magnetic field.
Perpendicular mobility tensor for strongly turbulent Lorentz gas in magnetic field, linearizing terms in Fourier analyzed momentum equation
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Perpendicular mobility tensor for strongly turbulent Lorentz gas in magnetic field, linearizing terms in Fourier analyzed momentum equation
Cauchy problem for scalar-tensor gravitational theory, splitting field equations into initial value equations and evolution equations
Interplanetary magnetic field power spectra from Mariner 4 spacecraft data used to determine cosmic ray diffusion tensor and variation in interplanetary space
Mach principle in scalar-tensor gravitation theory, discussing self energy calculations in canonical formalism for solitary neutral and charged point particles
Dipole shielding tensor of atom in arbitrary time dependent field, giving conditions for general variational calculations yielding results
Riemann tensor symbolic computation by compact method using differential forms, discussing advantages due to antisymmetry
Chromium lattice vibrational properties based on fourth-nearest-neighbor tensor force model, obtaining agreement with inelastic neutron diffraction data and elastic constants
Scalar-tensor theory in canonical form, discussing neutral particle and electron self energy problem
Space-time Riemann metric for scalar-tensor gravitational theories with arbitrary omega parameter
Static spherically symmetric charged mass distribution exact solutions derived for electrons in scalar tensor theory of gravity by Hamilton-Jacobi method
Approximations in calculating g-tensors for molecular ion H2 (plus)
Neutron transport equation in five dimensional tensor form, applying finite differencing by integration method via use of divergence theorem
Fluorine chemical shift tensor measurements in magnesium fluoride, using multiple pulse NMR technique
A solar wind model for a magnetized solar wind is presented using one-fluid hydromagnetic equations with generalized polytrope equations of state for the two tensor components of the plasma pressure. Fluid and magnetic field variables are calculated at the Earth using certain boundary conditions at the Sun. The azimuthal velocity agrees with observed values and explains the considerable loss of angular momentum from the Sun by the solar wind. The results are good for most variables but suggest that a two-fluid model with electrons at higher temperatures and smaller temperature anisotropy ratios than the ions would give improved agreement for some quantities.
The Brans-Dicke theory of gravitation is modified by assuming that the divergence of the energy-momentum tensor is proportional to the covariant derivative of the scalar curvature. No ad hoc additions to the usual Brans-Dicke field equations are required as in Rastall's modification of the Einstein theory or as in the steady-state theories, of which this is a natural possibility. Three parameters emerge from the theory - namely, the unnormalized gravitational constant, the usual Brans-Dicke parameter, and the proportionality constant. In the post-Newtonian approximation, these parameters can be fixed by experiment. However, there exists a certain choice of the parameters for which the theory reduces to an Einstein theory with constant scalar curvature.
A generalized mathematical model was developed for simulation of the dynamics and transport of both the atmosphere and seas. A nearly horizontal bottom coordinate surface conforms to the land-to-air interface and the sea-floor-to-water interface, which simplifies computations. General vertical motion of the other quasi-horizontal coordinate surfaces is allowed; external gravity waves can be represented by the top coordinate surface, and meteorological fronts and inversion layers in the atmosphere and refractive layers in the seas can be represented with enhanced resolution by the internal quasi-horizontal coordinate surfaces. A tensor reformulation of the standard subgrid mixing theory departs significantly from the standard theory in allowing, as a solution under adiabatic conditions, rigid-body rotation of the atmosphere.
Assuming that the divergence of the energy-momentum tensor is nonzero leads to a class of theories with consistent field equations and gauge conditions as well as compatibility with the Newtonian limit of the conservation laws. Both the Einstein and the Brans-Dicke theories are used as models, but the extension to other viable theories such as vector-metric and two-metric theories is possible. One particularly interesting theory emerges that agrees with the ordinary Brans-Dicke theory except for the post-Newtonian parameter zeta sub 2, which predicts nonconservation of total momentum. Unfortunately, no accurate experimental limits for this parameter are known. It thus remains for future experiments in lunar-laser ranging to test this theory.