We employ stochastic modelling of statistical reactions with memory to study quasiperiodic oscillations in the excitation functions of dissipative heavy-ion collisions. The Fourier analysis of excitation function oscillations is presented. It suggests that S-matrix spin and parity decoherence, damping of the coherent nuclear rotation and quantum chaos are sufficient conditions to explain the no...

We present a novel method for simultaneously phase matching several nonlinear optical interactions within a single crystal. Quasiperiodic modulation of the nonlinear coefficient enables one to achieve high frequency mixing efficiencies for interactions with arbitrary wave vector differences. Doubling of two different frequencies as well as direct frequency tripling is experimentally demonstrate...

We consider classical and quantum propagators for two different time intervals. If these propagators follow one another in a Fibonacci sequence we get a discrete quasiperiodic system. A theorem due to Nielsen provides a novel conserved quantity for this system. The Nielsen quantity controls the transition between commutative and non-commutative propagation in time. The quasiperiodically kicked ...

High resolution scanning tunneling microscopy (HRSTM) images of i-Al–Pd–Mn reveal wide flat terraces along the 5-fold (5f) direction with quasiperiodic atomic arrangements that are consistent with the expected structure of the dense pure aluminum planes of the bulk material as defined by 6D-models. This makes encouraging the exploration by HRSTM of a QC surface to better understand its 3D real ...

We show that for almost every frequency α ∈ R\Q, for every Cω potential v : R/Z→ R, and for almost every energy E the corresponding quasiperiodic Schrödinger cocycle is either reducible or non-uniformly hyperbolic. This result gives a very good control on the absolutely continuous part of the spectrum of the corresponding quasiperiodic Schrödinger operator, and allows us to complete the proof o...

We theoretically investigate the possibility of realizing a nonlinear all-optical diode by using the unique features of quasiperiodic 1D photonic crystals. The interplay between the intrinsic spatial asymmetry in odd-order Thue-Morse lattices and Kerr nonlinearity, combined with the unconventional field localization properties of this class of quasiperiodic sequences, gives rise to sharp resona...

We show that for almost every frequency α ∈ R\Q, for every Cω potential v : R/Z → R, and for almost every energy E the corresponding quasiperiodic Schrödinger cocycle is either reducible or nonuniformly hyperbolic. This result gives very good control on the absolutely continuous part of the spectrum of the corresponding quasiperiodic Schrödinger operator, and allows us to complete the proof of ...

Thermal instability in a horizontal Newtonian liquid layer with rigid boundaries is investigated in the presence of vertical quasiperiodic forcing having two incommensurate frequencies omega1 and omega2. By means of a Galerkin projection truncated to the first order, the governing linear system corresponding to the onset of convection is reduced to a damped quasiperiodic Mathieu equation. The t...

It will be shown that if φ is a quasiperiodic flow on the n-torus that is algebraic, if ψ is a flow on the n-torus that is smoothly conjugate to a flow generated by a constant vector field, and if φ is smoothly semiconjugate to ψ, then ψ is a quasiperiodic flow that is algebraic, and the multiplier group of ψ is a finite index subgroup of the multiplier group of φ. This will partially establish...

Self-organized molecular films with long-range quasiperiodic order have been grown by using the complex potential energy landscape of quasicrystalline surfaces as templates. The long-range order arises from a specific subset of quasilattice sites acting as preferred adsorption sites for the molecules, thus enforcing a quasiperiodic structure in the film. These adsorption sites exhibit a local 5...