Splitting of the deuteron byπ-mesons with intermediate energies

Abstract

We study the level spacing distribution p(s) in the spectrum of random networks. According to our numerical results, the shape of p(s) in the Erdős-Rényi (E-R) random graph is determined by the average degree k and p(s) undergoes a dramatic change when k is varied around the critical point of the percolation transition, k = 1. When k 1, the p(s) is described by the statistics of the Gaussian orthogonal ensemble (GOE), one of the major statistical ensembles in Random Matrix Theory, whereas at k = 1 it follows the Poisson level spacing distribution. Closely above the critical point, p(s) can be described in terms of an intermediate distribution between Poisson and the GOE, the Brodydistribution. Furthermore, below the critical point p(s) can be given with the help of the regularized Gamma-function. Motivated by these results, we analyse the behaviour of p(s) in real networks such as the internet, a word association network and a protein-protein interaction network as well. When the giant component of these networks is destroyed in a node deletion process simulating the networks subjected to intentional attack, their level spacing distribution undergoes a similar transition to that of the E-R graph.

Resonantly enhanced two-photon excitation of sodium atoms in a heat pipe

“…Therefore, our conclusion is that the majority of the population of the 3 P doublet can not come from the Rabi broadening of the state, which rules out the mechanisms proposed in [4] and [5].…”

“…Some previous work [4,5] has addressed the possibility of populating the upper state in a two-level system when the laser is detuned from resonance via Rabi (power) broadening. We have performed quantitative calculations under the requirements presented by Makarov [4], and verified his prediction that the upper level population at the end of the pulse varies with the 4th power of the laser detuning, with any choice of pulse shape which has finite time derivative. As for the case in [5], we found that the slope of the log-log plot of ion signal versus detuning is not necessarily 2, as argued by Bakhramove et al, but a quantity depending on the laser bandwidth.…”

“…Our interest has been stimulated by a number of papers [4][5][6] in which some of these effects have been observed and/or discussed. We believe that we have succeeded in constructing a model which provides a consistent description of the phenomena observed.…”

The nonlinear effect of transport current on the response of metals to electromagnetic radiation

“…Magnetodynamic nonlinearity causes a number of nontrivial phenomena in the electrodynamics of metals. As an example, one can mention generation of the current states 3,4 in a sample placed in a DC external magnetic field. The sample acquires a DC magnetic moment if irradiated by an additional strong AC electromagnetic field.…”

“…Magnetodynamic nonlinearity causes a number of nontrivial electrodynamic phenomena. As an example, one could mention the generation of the current states [3,4] in a sample placed in an external DC magnetic field. According to [3,4], in a plate irradiated by an electromagnetic wave a closed direct current and, as a consequence, an intrinsic DC magnetic moment appear.…”