It is an open challenge to analyze the crystalline color superconducting phases that may arise in cold dense, but not asymptotically dense, three-flavor quark matter. At present the only approximation within which it seems possible to compare the free energies of the myriad possible crystal structures is the Ginzburg-Landau approximation. Here, we test this approximation on a particularly simpl...

a boundary integral method is used to simulate spilling breakers. the bottom is also included inthe introduced closed boundary and the problem is directly solved in the physical plane. the method has beenshown to be remarkably stable, and no numerical instability has occurred in any of the calculations. theresults reveal that both the momentum and total energy are almost constant in time during...

We present a new derivation of the expressions for momentum and energy of a relativistic particle. Contrary to the procedures commonly adopted in textbooks, the one suggested here requires only the knowledge of the composition law for velocities along one spatial dimension and does not make use of the concept of relativistic mass. The basic ideas are very general and can be applied also to kine...