Ultrafast quasiparticle relaxation dynamics in normal metals and heavy fermion materials

We present a detailed theoretical study of the ultrafast quasiparticle relaxation dynamics observed in normal metals and heavy fermion materials with femtosecond time-resolved optical pump-probe spectroscopy. For normal metals, a nonthermal electron distribution gives rise to a temperature (T) independent electron-phonon relaxation time at low temperatures, in contrast to the T^{-3}-divergent behavior predicted by the two-temperature model. For heavy fermion compounds, we find that the blocking of electron-phonon scattering for heavy electrons within the density-of-states peak near the Fermi energy is crucial to explain the rapid increase of the electron-phonon relaxation time below the Kondo temperature. We propose the hypothesis that the slower Fermi velocity compared to the sound velocity provides a natural blocking mechanism due to energy and momentum conservation laws.Comment: 10 pages, 11 figure

Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes

New algorithms for computing of asymptotic expansions for stationary distributions of nonlinearly perturbed semi-Markov processes are presented. The algorithms are based on special techniques of sequential phase space reduction, which can be applied to processes with asymptotically coupled and uncoupled finite phase spaces.Comment: 83 page

Catalytic method of synthesis of 2,4-diphenylfuran and 2-phenylindole

2,4-Diphenylfuran has been obtained from acetophenone and its mixture with aniline, over K-16 catalyst. It has been established that the reaction proceeds through a stage of dypnone formation. When the aniline-acetophenone mixture is used as the starting material, small amounts of 2-phenylindole are formed. © 1992 Plenum Publishing Corporation

Catalytic method of synthesis of 2,4-diphenylfuran and 2-phenylindole

2,4-Diphenylfuran has been obtained from acetophenone and its mixture with aniline, over K-16 catalyst. It has been established that the reaction proceeds through a stage of dypnone formation. When the aniline-acetophenone mixture is used as the starting material, small amounts of 2-phenylindole are formed. © 1992 Plenum Publishing Corporation

N-allylation and N-benzylation of 2-phenylindole and its condensation with carbonyl compounds

By allylation and benzylation of 2-phenyl- and 2-phenyl-3-formylindole, N-allyl- and benzyl-substituted indoles have been obtained. By condensation of 2-phenylindole with 2-formylfluorene, and also with 4-aza- or 3-methyl-2-azafluorenone, compounds containing fragments of the indole, fluorene, and azafluorenone systems have been synthesized. In the interaction of 2-phenylindole or indole with formaldehyde and 2,5-dimethylpiperidin-4-one, depending on the temperature, bis(2-phenylindol-3-yl)methane, (2′,5′-dimethyl-4′-oxopiperidino)-(1-indolyl)methane, and bis(indol-3-yl)methane are formed. © 1993 Plenum Publishing Corporation