Typically, the force between paramagnetic particles in a uniform magnetic field is calculated using either dipole-based models or the Maxwell stress tensor combined with Laplace's equation for magnetostatics. Dipole-based models are fast but involve many assumptions, leading to inaccuracies in determining forces for clusters of particles. The Maxwell stress tensor yields an exact force calculat...

Abstract The paper presents analytical approach to electrostatic field for dielectric spheroids problem. For both oblate and prolate fields distributions are derived. variable separation method is applied. Electrostatic force evaluated with the help of Maxwell stress tensor generalized method, material density, coenergy equivalent dipole. Levitation forces versus axis permittivities height pres...

We use the symmetry-extended Maxwell rule established by Fowler and Guest to detect states of self-stress in symmetric planar frameworks. The dimension space self-stresses that are detectable this way may be expressed terms number joints bars unshifted various symmetry operations framework. Therefore, method provides an efficient tool construct frameworks with many ‘fully-symmetric’ self-stress...

In this paper we address the construction of efficient algorithms for the estimation of gradients of general performance measures of Gaussian systems. Exploiting a clever coupling between the normal and the Maxwell distribution, we present a new gradient estimator, and we show that it outperforms both the single-run based infinitesimal perturbation analysis (IPA) estimator and the score functio...

The energy condition inequalities for the matter stress energy comprised out of the dilaton and Maxwell fields in the dilaton–Maxwell gravity theories emerging out of string theory are examined in detail. In the simplistic 1 + 1 dimensional models, R ≤ 0 (where R is the Ricci scalar), turns out to be the requirement for ensuring focusing of timelike geodesics. In 3 + 1 dimensions, we outline th...

The role of magnetic fields for the formation of planets is reviewed. Protoplanetary disc turbulence driven by the magnetorotational instability has a huge influence on the early stages of planet formation. Small dust grains are transported both vertically and radially in the disc by turbulent diffusion, counteracting sedimentation to the mid-plane and transporting crystalline material from the...

This work presents a numerical technique for simulating incompressible, isothermal, viscoelastic flows of fluids governed by the upper-convected Maxwell (UCM) and K–BKZ (Kaye–Bernstein, Kearsley and Zapas) integral models. The numerical technique described herein is an extension of the GENSMAC method to the solution of the momentum and mass conservation equations to include integral constitutiv...

We describe local shearing box simulations of turbulence driven by the magnetorotational instability (MRI) in a collisionless plasma. Collisionless effects may be important in radiatively inefficient accretion flows, such as near the black hole in the Galactic Center. The MHD version of ZEUS is modified to evolve an anisotropic pressure tensor. A fluid closure approximation is used to calculate...

Two difficulties have long troubled the field theory of dielectric solids. First, when two electric charges are placed inside a dielectric solid, the force between them is not a measurable quantity. Second, when a dielectric solid deforms, the true electric field and true electric displacement are not work conjugates. These difficulties are circumvented in a new formulation of the theory in thi...