A solvable many-body problem in the plane is exhibited. It is characterized by rotation-invariant Newtonian (“acceleration equal force”) equations of motion, featuring one-body (“external”) and pair (“interparticle”) forces. The former depend quadratically on the velocity, and nonlinearly on the coordinate, of the moving particle. The latter depend linearly on the coordinate of the moving parti...

The binding of polarons, or its absence, is an old and subtle topic. Here we prove two things rigorously. First, the transition from many-body collapse to the existence of a thermodynamic limit for N polarons occurs precisely at U = 2α, where U is the electronic Coulomb repulsion and α is the polaron coupling constant. Second, if U is large enough, there is no multi-polaron binding of any kind....

Motivated by a real-world problem, we study a novel budgeted optimization problem where the goal is to optimize an unknown function f(x) given a budget. In our setting, it is not practical to request samples of f(x) at precise input values due to the formidable cost of precise experimental setup. Rather, we may request a constrained experiment, which is a subset r of the input space for which t...

The binding of polarons, or its absence, is an old and subtle topic. After defining the model we state some recent theorems of ours. First, the transition from many-body collapse to the existence of a thermodynamic limit for N polarons occurs precisely at U = 2α, where U is the electronic Coulomb repulsion and α is the polaron coupling constant. Second, if U is large enough, there is no multi-p...

This paper presents a design method of transparency optimized feedback controller with robustness for a parallel 6-DOF haptic system. A disturbance observer is employed to eliminate coupling e ects that exist in a mechanically coupled structure. A performance index for the transparency is de ned by admittance matching, and by solving H2 optimal problem, the optimal solution that minimizes the p...

This study presents a designing process for refurbishing of a 32 MW rotor-generator damaged coupling. The reason of rotor damage was being hit by the quivers of an explosion. The original coupling was union with the rotor formed after a machining process on a mono block forged rotor. In some areas imposed damages caused the breaking off and detachment of some parts in the coupling flange. Becau...

In this paper, we develop methods to reduce interconnect delay and noise caused by coupling. First, we introduce two novel problems that deal with coupling { the Coupling-Free Routing (CFR) Problem and the Maximum Coupling-Free Layout (MAX-CFL) Problem. We argue that these problems are useful in both global and detailed routing. Then, we develop algorithms to e ciently solve the problems. Our e...

4 More general decomposition structures 17 4.1 General examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 4.2 Framework for decomposition structures . . . . . . . . . . . . . . . . . . . . 19 4.3 Primal decomposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.4 Dual decomposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2...

The Extensible Computational Chemistry Environment (Ecce), an innovative problem-solving environment (PSE), was designed a decade ago, before the emergence of the Web and Grid computing services. In this paper, we briefly examine the original Ecce architecture and discuss how it is evolving to incorporate both Grid services and components of the Web to increase its range of services, reduce dep...

Transverse Mode Coupling Instabilities (TMCI) emerged between 1974 and 1980 as the main limitation of dense bunches in electron synchrotrons and storage rings. A two-particle model allows one to calculate the Beam Break-Up (BBU) instability in linacs. Extending this to synchrotrons show that the BBU instability is suppressed below a threshold intensity by synchrotron oscillations. The classical...