Growth and Approximation of Generalized Bi-Axially Symmetric Potentials

The paper deals with growth estimates and approximation (not necessarily entire) of solutions of certain elliptic partial differential equations. These solutions are called generalized bi-axially symmetric potentials (GBASP's). To obtain more refined measure of growth, we have defined $q$-proximate order and obtained the characterization of generalized $q$-type and generalized lower $q$-type with respect to $q$-proximate order of a GBASP in terms of approximation errors and ratio of these errors in sup norm.     

Scattering chamber facility for double-differential cross-section measurement with 14 MeV DT neutron generator at IPR

Measurement of double-differential cross-sections of 14 MeV neutron-induced charged-particle productions is very important for estimating the nuclear heating and radiation damage of a fusion reactor. Only a few experimental data are available even though the nuclear reaction cross-section data of structural materials are important in fusion nuclear technology. In this context, general purpose scattering chamber facility has been developed for accelerator-based 14 MeV DT neutron generator to measure double-differential nuclear reaction cross-section at Fusion Neutronics Laboratory, IPR. It has been designed for experiments using silicon surface barrier detectors for the online detection of charged particles. It offers flexibility in the arrangement of silicon surface barrier detectors.     

From graphs to free products

We investigate a construction (from Kodiyalam Vijay and Sunder V?S, J.?Funct. Anal. 260 (2011) 2635?C2673) which associates a finite von Neumann algebra M(??,??) to a finite weighted graph (??,??). Pleasantly, but not surprisingly, the von Neumann algebra associated to a ??flower with n petals?? is the group on Neumann algebra of the free group on n generators. In general, the algebra M(??,??) is a free product, with amalgamation over a finite-dimensional abelian subalgebra corresponding to the vertex set, of algebras associated to subgraphs ??with one edge?? (or actually a pair of dual edges). This also yields ??natural?? examples of (i) a Fock-type model of an operator with a free Poisson distribution; and (ii) ${\mathbb C} \oplus {\mathbb C}$ -valued circular and semi-circular operators.     

Exciplex parameters: key factors in the dielectric behaviour of magnetodynamics

Photoinduced electron transfer reactions in solution produce two primary geminate radical ion pairs: contact ion pair or exciplex and solvent-separated ion pair. The magnetodynamics of radical ion pairs involves suppression of the spin-evolution between singlet and triplet states of a fraction of solvent-separated ion pairs, the partners of which undergo prior diffusion to attain the distance where exchange interaction is negligible, in the presence of an external low magnetic field of the order of the hyperfine interactions present in the system. This results in an increase in geminate recombination of the singlet solvent-separated ion pairs and enhancement in exciplex luminescence since the precursor radical ion pair is singlet. Although seemingly magnetodynamics is a diffusion-controlled phenomenon that should depend mainly on the dielectric constant of the medium (keeping viscosity almost constant), it is not true for all the exciplex systems since the nature of the magnetic field effect versus medium dielectric curves differ from each other in peak positions, peak heights and onset points. To investigate this differential nature, magnetic field effects among exciplex systems consisting of different derivatives of carbazole as electron donors are compared with a universal acceptor, 1,4-dicyano-benzene, with the pyrene—N,N-dimethylaniline exciplex system as reference. It was found that, apart from the solvent dielectric, the exciplex energy and the bulk effect of the steric constraints present on either donor or acceptor site, regulating the optimum inter-radical distance in the initially formed radical ion pair, are the key factors in controlling the magnetodynamic behaviour.