We consider planar systems driven by a central force which depends periodically on time. If the force is sublinear and attractive, then there is a connected set of subharmonic and quasi-periodic solutions rotating around the origin at different speeds; moreover, this connected set stretches from zero to infinity. The result still holds allowing the force to be attractive only in average provide...

Link weighting is crucial for performance of linkbased web page ranking algorithms. Typically, a link is viewed as recommendation between pages, which is an unquantifiable term and existing approaches lack physical interpretations. In this paper, we view a link as the attractive force between pages, and map concepts of web (in/out degree, content similarity, etc.) to those of physics (mass, dis...

The IR and Raman spectra of the compounds (CH,),Sb-Sb(CH,), (I), [(CH,),Si],SbSb[Si(CH,),], (II), [(CH,),Si],As-As[Si(CH,),], (III) and (C,H,),Sb--Sb(C,H,), (IV) have been studied in the liauid and solid states. Given assianments for I to III are based on normal coordinate analyses, and force constants are reported. The solid state Raman spectra of I and II exhibit strong lines near 50 cm-‘, wh...

Single-molecule force spectroscopy is a powerful experimental technique for probing intermolecular forces and conformational transitions of individual molecules. This technique involves measuring the mechanical response of a molecule subjected to a constant or time-varying force. Statistical mechanics has played a pivotal role in interpreting forcemeasurements in terms of the underlying kinetic...

The effect of filling nanotubes with C60, CH4, or Ne on the mechanical properties of the nanotubes is examined. The approach is classical molecular dynamics using the reactive empirical bond order (REBO) and the adaptive intermolecular REBO potentials. The simulations predict that the buckling force of filled nanotubes can be larger than that of empty nanotubes, and the magnitude of the increas...

The Doi kinetic theory for homogeneous flows of rodlike liquid crystalline polymers (LCPs) is extended to inhomogeneous flows through introducing a nonlocal intermolecular potential. An extra term in the form of an elastic body force comes out as a result of this extension. Systematic asympototic analysis in the small Deborah number limit is carried out, and the classical EricksenLeslie equatio...

SU(3) heavy quark potentials at finite temperature are studied by quenched lattice QCD with the stochastic gauge-fixing method. In addition to the standard color average channel, we investigate qq̄ potentials in singlet and octet channels. The singlet qq̄ channel yields an attractive force, while the octet qq̄ potential is repulsive; the corresponding color average channel also results in the attr...