The Chapman-Enskog method of kinetic theory is applied to two problems of synchronization of globally coupled phase oscillators. First, a modified Kuramoto model is obtained in the limit of small inertia from a more general model that includes "inertial" effects. Second, a modified Chapman-Enskog method is used to derive the amplitude equation for an O(2) Takens-Bogdanov bifurcation correspondi...

We investigate the T (3)-gauge theory of static dislocations in continuous solids. We use the most general linear constitutive relations bilinear in the elastic distortion tensor and dislocation density tensor for the force and pseudomoment stresses of an isotropic solid. The constitutive relations contain six material parameters. In this theory both the force and pseudomoment stresses are asym...

This paper presented integrated electromigration (EM) studies through experiment, theory, and simulation. First, extensive EM tests were performed using Blech standard wafer-level acceleration test (SWEAT)-like structures, which fabricated on four-inch wafers. Second, a molecular dynamics (MD) simulation-based diffusion-induced strain was incorporated into the existing coupled theory. Third, on...

The concept of partial metric which is a generalized metric space was introduced by Matthews 1 in 1994, inwhich the distance between two identical elements needs not be zero. The existence of fixed point for contraction-type mappings on such spaces was considered by many authors 1–12 . A modified version of a Banach contraction mapping principle, more suitable to solve certain problems arising ...

Developments in effective-range theory as applied to low-energy atomic scattering processes are reviewed. The focus is on the seminal contributions to this theory made by Larry Spruch, who showed how its original form could be extended to account for the presence of long-range forces arising from Coulomb interactions. The influence of this body of work on the very recent developments stimulated...

In the context of the Anderson theory of high Tc cuprates, we develop a BCS theory for Luttinger liquids. If the Luttinger interaction is much stronger than the BCS potential we find that the BCS equation is quite modified compared to usual BCS equation for Fermi liquids. In particular Tc predicted by the BCS equation for Luttinger liquids is quite higher than the usual Tc for Fermi liquids. 1 ...

This paper presents a study of narrow bandwidth the bandpass filter with cross-coupled line structure. structure was designed to have good selectivity transmission zeros and simple design. Since has cross shape, cross-coupling between resonators consequently occurs. interferes passband filter. Optimization in size coupled lines done minimize interference. Rogers RT/duroid 5880 used as substrate...

This paper communicates an analytical study on computing the natural frequencies and in-plane deflections caused by static forces in panel walls using Euler-Bernoulli, Timoshenko, Timoshenko Goodier, Couple-stress, Micropolar-Cosserat theory. The highlights formulation of transfer matrix via state-space method spatial domain; from coupled governing equations motion that arises theory captures n...

We study decoupling limits and S-dualities for noncommutative open string/ Yang-Mills theory in a gravity setup by considering an SL(2, Z) invariant super-gravity solutions of the form ((F, D1), D3) bound state of type IIB string theory. This configuration can be regarded as D3-brane solution with both electric and magnetic fields turned on along one of the spatial directions of the brane and p...