esearch\nrc\frame_files\Generic Docs\Statistical Model\statistical coverNRC.fm DISCLAIMER This publication was prepared with the support of the U.S. Nuclear Regulatory Commission (NRC) Grant Program. This program supports basic, advanced, and developmental scientific research for a public purpose in areas related to nuclear safety. The grantee bears prime responsibility for the conduct of the r...

Nuclear magnetic resonance (NMR) spectroscopy is a key experimental technique for determination of protein structure, dynamics, and interactions. However, the data it provides are noisy and incomplete, and there is no generally accepted measure of uncertainty in the resulting interpretations. This paper proposes a statistical modeling framework for an essential step in the NMR process, backbone...

An approach is developed, combining the ideas of quantum statistical mechanics and multichannel theory of scattering, for treating statistical systems whose constituents can possess different bound states realized as compact clusters. The main principles for constructing multichannel cluster Hamiltonians are formulated: principle of statistical correctness, principle of cluster coexistence, and...

The two instructive effects concerning fragment production at disintegration of finite nuclei are predicted with the statistical multi-fragmentation model: (1) a concentration of neutrons in intermediate mass fragments during the phase transition, (2) the break of the spatial symmetry of the fragment's isospin distribution, as well as of the symmetry of the fragment's emission from a statistica...

Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going efforts seek to better root nuclear DFT in the theory of nuclear forces [see Duguet et al., this issue], energy functionals remain semi-phenomenological constructions that depend on a...

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. The model exhibits a 1-st order phase transition of the liquid-gas type. The mixed phase region of the phase diagram, where the gas of nuclear fragments coexists with the infinite liquid condensate, is unambiguously identified. The peculiar thermodynamic properties of the model near the bou...

We define and establish the interrelationships of four components of statistical association between a diploid nuclear gene and a uniparentally transmitted, haploid cytoplasmic gene: an allelic (gametic) disequilibrium (D), which measures associations between alleles at the two loci; and three genotypic disequilibria (D1, D2, D3), which measure associations between two cytotypes and the three r...