17 papers
Escape from intermittent repellers- Periodic orbit theory for crossover from exponential to algebraic decay
Per Dahlqvist
We apply periodic orbit theory to study the asymptotic distribution of escape times from an intermittent map. The dynamical zeta function exhibits a branch point which is associate…
Periodic orbit sum rules for billiards: Accelerating cycle expansions
Sune F. Nielsen, Per Dahlqvist, Predrag Cvitanovic
We show that the periodic orbit sums for 2-dimensional billiards satisfy an infinity of exact sum rules. We test such sum rules and demonstrate that they can be used to accelerate…
Error of semiclassical eigenvalues in the semiclassical limit - An asymptotic analysis of the Sinai billiard
P. Dahlqvist
We estimate the error in the semiclassical trace formula for the Sinai billiard under the assumption that the largest source of error is due to Penumbra diffraction, that is diffra…
From chaotic to disordered systems - a periodic orbit approach
Per Dahlqvist
We apply periodic orbit theory to a quantum billiard on a torus with a variable number N of small circular scatterers distributed randomly. Provided these scatterers are much small…
Computing the diffusion coefficient for intermittent maps: Resummation of stability ordered cycle expansions
Carl P. Dettmann, Per Dahlqvist
We compute the diffusion coefficient and the Lyapunov exponent for a diffusive intermittent map by means of cycle expansion of dynamical zeta functions. The asymptotic power law de…
Periodic orbit quantization of the Sinai billiard in the small scatterer limit
Per Dahlqvist, Gabor Vattay
We consider the semiclassical quantization of the Sinai billiard for disk radii R small compared to the wave length 2 pi/k. Via the application of the periodic orbit theory of diff…