A (microscopic) static elastoplastic field theory of dislocations with moment and force stresses is considered. The relationship between the moment stress and the Nye tensor is used for the dislocation Lagrangian. We discuss the stress field of an infinitely long screw dislocation in a cylinder, a dipole of screw dislocations and a coaxial screw dislocation in a finite cylinder. The stress fiel...

Marine larvae are often considered as drifters that collide with larval collectors as passive particles. The trajectories of Bugula neritina larvae and of polystyrene beads were recorded in the velocity field of a vertical cylinder. The experiments illustrated that the trajectories of larvae and of beads may differ markedly. By considering a larva as a self-propelled mechanical microswimmer, a ...

Viscous Couette flow is derived for flow between two infinitely long concentric rotating cylinders with Navier slip on both. Its axisymmetric linear stability is studied within a regime that would be hydrodynamically stable according to Rayleigh’s criterion: opposing gradients of angular velocity and specific angular momentum, based on the rotation rates and radii of the cylinders. Stability co...

The classical problem of slow, steady, two-dimensional ow of a viscous incompressible uid around an innnitely long straight cylinder is considered. The cylinder cross-section is symmetric about the direction of the oncoming stream, but otherwise is arbitrary. For low Reynolds number, the well-known singular perturbation analysis for this problem shows that the asymptotic expansions of the drag ...

We report on cylindrical permanent-magnet structures that exploit the image effect in a surrounding circular soft-iron sheath. We present the theory for a general multipole ring, where the polarization direction = ( + 1) is a positive or negative integer, and is the angular coordinate. For the uniformly magnetized case = 1, a long cylindrical ring produces no field in its bore, and the field ou...

1 Problem An infinitely long wire with linear charge density −λ lies along the z axis. An insulating cylindrical shell of radius a and moment of inertia I per unit length is concentric with the wire, and can rotate freely about the z axis. The areal charge density on the cylinder is σ = λ/2πa and is uniformly distributed. The cylinder is immersed in an external magnetic field B exˆz, and is ini...

The variance of the particle number (equivalently the total charge) in a domain of length L of a one-component plasma (OCP) on a cylinder of circumference W at the reciprocal temperature ;=2, is shown to remain bounded as L . This exactly solvable system with average density \ has a density profile which is periodic with period (\W ) along the axis of the infinitely long cylinder. This illustra...

We consider a random walk on the discrete cylinder (Z/NZ)×Z, d ≥ 3 with drift N in the Z-direction and investigate the large N -behavior of the disconnection time T disc N , defined as the first time when the trajectory of the random walk disconnects the cylinder into two infinite components. We prove that, as long as the drift exponent α is strictly greater than 1, the asymptotic behavior of T...

The theory of generalized thermoelastic diffusion, based on the theory of Lord and Shulman, is used to study the thermoelastic-diffusion interactions in an infinitely long solid cylinder subjected to a thermal shock on its surface which is in contact with a permeating substance. By means of the Laplace transform and numerical Laplace inversion the problem is solved. Numerical results predict fi...

We consider a random walk on the discrete cylinder (Z/NZ)d×Z, d ≥ 3 with drift N−dα in the Z-direction and investigate the large N -behavior of the disconnection time T disc N , defined as the first time when the trajectory of the random walk disconnects the cylinder into two infinite components. We prove that, as long as the drift exponent α is strictly greater than 1, the asymptotic behavior ...