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Statics and Dynamics of Nonlinear Systems: Proceedings of a by A. Bishop (auth.), Professor Dr. Giorgio Benedek, Professor

By A. Bishop (auth.), Professor Dr. Giorgio Benedek, Professor Dr. Heinz Bilz, Dr. Roland Zeyher (eds.)

The research of the homes of nonlinear structures is likely one of the speedy deve­ loping parts of physics. In condensed topic physics this 'terra incognita' is approached from a number of beginning issues resembling part transitions and renormali­ zation workforce thought, nonlinear versions, statistical mechanics and others. The examine of the mutual interrelations of those disciplines is critical in constructing uni­ fying equipment and versions in the direction of a greater figuring out of nonlinear structures. the current e-book collects the lectures and seminars introduced on the workshop on "Statics and Dynamics of Nonlinear structures" held on the Centre for clinical tradition "Ettore Majorana·" in Erice;· Italy, July 1 to eleven, 1983, within the framework of the overseas college of fabrics technology and know-how. specialists and younger researchers got here jointly to debate nonlinear phenomena in condensed topic physics. The booklet is split into 5 components, each one half containing a number of normal artic­ les introducing the topic, through comparable really expert papers. the 1st half bargains with easy homes of nonlinear platforms together with an creation to the overall theoretical tools. Contrfbutions to the nonlinear facets of section transitions are amassed within the moment half. within the 3rd half homes of incommensurate structures are mentioned. the following, competing interactions bring about charge-density waves, soliton lattices and different complicated constructions. one other element of particular curiosity, illustrated within the fourth half, is the 'chaotic' be­ havior of assorted platforms resembling Josephson junctions and discrete lattices.

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Additional resources for Statics and Dynamics of Nonlinear Systems: Proceedings of a Workshop at the Ettore Majorana Centre, Erice, Italy, 1–11 July, 1983

Example text

Water filaments disappear at low values of water activity. Apparently this happens in conjugation with helix conformational transitions (from B type into either A or Z types). ) is practically dry, with only two of the accessible hydration sites along base edges singly occupied. g. 9). ,/' R .. , 1\ R. I L . 12). It appears to consist of two right-handed (R) and four left-handed (L) helices, respectively. n n lnteractions are expected to occur at this point, where a water monomer displays full tetrafunctionality.

The rise h per monomeric repetition (the asymmetric mononucleotide) is h , =s . Z (4) while radial position r and tilt angle ~ of the base-pair body axis with respect to the main duplex axis Z are, respectively: r = (s 2 2 ~ - h ) 2/ 2 sin(w/2) (5) and cos~ z . Z ,. e. (6) where z denotes the unit vector along the z axis of the body axis of the original base pair. Equation (5) comes from both the Watson-Crick requirement for base pairing and diadic symmetry. We now have to take advantage from the mini-helix ring requirement (1).

G. g. has practically disappeared, owing to (pseudo)-C 2 symmetry of pinning potentials. Transgroove (L-type) filaments are expected to be those which most critically depend on conformational parameters (see text). , B type of helices), corresponding to the first two hydration shells. 8 by the unrolled cylindrical projection of a sheet (about 7 A thick) covering a whole hel ical pitch (69 A x 34 A) of the B-DNA conformer. g. g. 9 (A type helices). Structural data for the Z type of helices are currently not available.

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