This paper deals with the e ective computation of normal forms, centre manifolds and rst integrals in Hamiltonian mechanics. These kind of calculations are very useful since they allow, for instance, to give explicit estimates on the di usion time or to compute invariant tori. The approach presented here is based on using algebraic manipulation for the formal series but taking numerical coe cie...

Electronic absorption and Raman spectra of solid and molten Cs2NaHoCl6 elpasolite have been measured in the temperature range 20 – 780 ◦C. The Raman spectra of the solid indicate that there is no phase transition above room temperature. It appears, that the internal vibrational modes of the solid are transferred into the melt, indicating that the [HoCl6]3− “octahedra” are the predominant specie...

We consider the production of gravitons in an inflationary cosmology by approximating each epoch of change in the equation of state as sudden, from which a simple analytic graviton mode function has been derived. We use this mode function to compute the graviton spectral energy density and the tensor-induced cosmic microwave background anisotropy. The results are then compared to the numerical ...

2014 This is the first part of a structural study of the modulation in thiourea. The modulation is described by a normal mode Qq of 03C44 symmetry along with harmonic modes Q2q, Q3q, ... Corresponding displacements are derived in view of structure refinement. In commensurate phases, these give access to the space group; in incommensurate phases, to the supersymmetry. The superspace approach to ...

We discuss the construction and properties of an approximate solution of the Ginsparg-Wilson equation, the so-called chirally improved lattice Dirac operator. In particular we study the behavior of its eigenmodes in smooth instanton backgrounds as well as for thermalized gauge configurations on both sides of the QCD phase transition. We compare with results from other Dirac operators including ...

We study the correlations between the fluctuations of low-lying Dirac eigenfunctions and monopoles in quenched compact QED at β=0.99, 1.01 and 1.03, employing 12 × 12 lattices and the overlap formalism for the fermion action. Near-zero modes are found to have universal anti-correlations with monopoles below/above the critical β. In contrast to the result in QCD by Garcia-Garcia and Osborn, near...

A two-phase DLSM model is proposed to model transverse isotropic materials, in which the layer structure of the anisotropic materials is explicitly represented. Equations are derived to obtain elastic parameters of the two phase model from the elastic modules in parallel to the bedding planes and that in normal direction of the bedding planes. Then, the mechanical properties of the two-phase DL...

We study the properties of low-lying Dirac modes in quenched compact QED at β = 1.01, employing 12 ×Nt (Nt = 4, 6, 8, 10, 12) lattices and the overlap formalism for the fermion action. We pay attention to the spatial distributions of low-lying Dirac modes below/above the “phase transition temperature” Tc. Near-zero modes are found to have universal anticorrelations with monopole currents, and a...

We compute the vibronic spectrum of gas phase fullerene negative ions C60 and C 2− 60 . We treat accurately the linear dynamical Jahn-Teller of these ions in their ground state. In particular, coupling of the t1u orbital to the eight Hg vibrational modes is handled by exact diagonalizations including up to six vibrons. The resulting spectrum is characterized by large splittings, which should be...

This paper analyzes the resolution complexity of two random CSP models, i.e. Model RB/RD for which we can establish the existence of phase transitions and identify the threshold points exactly. By encoding CSPs into CNF formulas, this paper proves that almost all instances of Model RB/RD have no tree-like resolution proofs of less than exponential size. Thus, we not only introduce new families ...