We propose a definition of asymptotically plane wave spacetimes in vacuum gravity in terms of the asymptotic falloff of the metric, and discuss the relation to previously constructed exact solutions. We construct a well-behaved action principle for such spacetimes, using the formalism developed by Mann and Marolf. We show that this action is finite on-shell and that the variational principle is...

In the one-dimensional periodic potential case, we formulate the condition of Bloch periodicity for the reduced action by using the relation between the wave function and the reduced action established in the context of the equivalence postulate of quantum mechanics. Then, without appealing to the wave function properties, we reproduce the well-known dispersion relations which predict the band ...

Event-related brain potentials were used to study the neural mechanisms underlying goal-directed object use distinguishing between processes supporting immediate and final action goals during action planning and execution. Subjects performed a grasping and transportation task in which actions were cued either with the immediate action goal (the part of the object to grasp) or with the final act...

String modes in a pp-wave background are generically massive, and the worldvolume description of the branes is to be given by ‘massive’ gauge theories. In this paper, we present a five dimensional super Yang-Mills action with the Kähler-Chern-Simons term plus the Myers term as a low energy worldvolume description of the longitudinal five branes in a maximally supersymmetric pp-wave background. ...

Wave maps (i.e. nonlinear sigma models) with torsion are considered in 2+1 dimensions. Global existence of smooth solutions to the Cauchy problem is proven for certain reductions under a translation group action: invariant wave maps into general targets, and equivariant wave maps into Lie group targets. In the case of Lie group targets (i.e. chiral models), a geometrical characterization of inv...

[1] Comparison of ocean buoy measurements with infrasonic array data collected during the epic winter of 2002–2003 shows a clear relationship between breaking ocean wave height and infrasonic signal levels. In addition, infrasonic arrays allow the identification of distinct breaking zones along the shoreline. Our observations suggest that infrasonic measurements can be used in conjunction with ...

Heterogeneity of cardiac electrical properties can lead to heart rhythm disorders. Numerical studies have shown that stimuli chosen to maximize dynamic heterogeneity terminate wave propagation. However, experimental investigations suggest that similar sequences induce fragmentation of the wave fronts, rather than complete wave block. In this paper we show that an insulating boundary in an other...

The blue mussel Mytilus edulis maintains a strong attachment to the substrate in high energy environments by producing byssal threads. On the shores of Rhode Island, USA, mussel attachment strength increases twofold in spring compared to that in the fall. While many factors could influence attachment strength (temperature, food supply, predator cues, etc.), it has been proposed that the variati...

Multiphase wavetrains are multiperiodic travelling waves with a set of distinct wavenumbers and distinct frequencies. In conservative systems, such families are associated with the conservation of wave action or other conservation law. At generic points (where the Jacobian of the wave action flux is non-degenerate), modulation of the wavetrain leads to the dispersionless multiphase conservation...

We offer a new form for the Snl term in the Hasselmann kinetic equation for squared wave amplitudes of wind-driven gravity wave. This form of Snl makes possible to rewrite in differential form the conservation laws for energy, momentum, and wave action, and introduce their fluxes by a natural way. We show that the stationary kinetic equation has a family of exact Kolmogorov-type solutions gover...