Vladislav E. Chernov | Searcharxiv

arXiv2003

Threshold and high-frequency behavior of dipole-bound anion photodetachment

An explicit analytic description is given for dipole-bound anion (DBA) as an excess electron bound to the molecular neutral due to its dipole moment. The calculated DBA photodetachment cross-section displays $\proptoω^{-2}$ behavior for large $ω$, in complete accordance with the experimental data [Bailey \textit{et al.}, J. Chem. Phys \textbf{104}, 6976 (1996)]. At the threshold the photodetachment cross-section displays the Gailitis--Damburg oscillations.

physics.chem-ph↗

arXiv2003

Chaotic Diffusion on Periodic Orbits: The Perturbed Arnol'd Cat Map

Chaotic diffusion on periodic orbits (POs) is studied for the perturbed Arnol'd cat map on a cylinder, in a range of perturbation parameters corresponding to an extended structural-stability regime of the system on the torus. The diffusion coefficient is calculated using the following PO formulas: (a) The curvature expansion of the Ruelle zeta function. (b) The average of the PO winding-number squared, $w^{2}$, weighted by a stability factor. (c) The uniform (nonweighted) average of $w^{2}$. The results from formulas (a) and (b) agree very well with those obtained by standard methods, for all the perturbation parameters considered. Formula (c) gives reasonably accurate results for sufficiently small parameters corresponding also to cases of a considerably nonuniform hyperbolicity. This is due to {\em uniformity sum rules} satisfied by the PO Lyapunov eigenvalues at {\em fixed} $w$. These sum rules follow from general arguments and are supported by much numerical evidence.

nlin.CD↗